Log in

Relevant bibliographies by topics / Weighted residual methods

Contents

Journal articles
Dissertations / Theses
Books
Book chapters
Conference papers

Academic literature on the topic 'Weighted residual methods'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Weighted residual methods.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Weighted residual methods"

1

Canu, P., and W. H. Ray. "Discrete weighted residual methods applied to polymerization reactions." Computers & Chemical Engineering 15, no. 8 (August 1991): 549–64. http://dx.doi.org/10.1016/0098-1354(91)80011-j.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Journal, Baghdad Science. "Approximated Methods for Linear Delay Differential Equations Using Weighted Residual Methods." Baghdad Science Journal 4, no. 4 (December 2, 2007): 658–65. http://dx.doi.org/10.21123/bsj.4.4.658-665.

Full text

Abstract:

The main work of this paper is devoted to a new technique of constructing approximated solutions for linear delay differential equations using the basis functions power series functions with the aid of Weighted residual methods (collocations method, Galerkin’s method and least square method).

APA, Harvard, Vancouver, ISO, and other styles

3

Ganji, D. D., and Mohammad Hatami. "Three weighted residual methods based on Jeffery-Hamel flow." International Journal of Numerical Methods for Heat & Fluid Flow 24, no. 3 (April 1, 2014): 654–68. http://dx.doi.org/10.1108/hff-06-2012-0137.

Full text

Abstract:

Purpose – The purpose of this paper is to demonstrate the eligibility of the weighted residual methods (WRMs) applied to Jeffery-Hamel Flow. Selecting the most appropriate method among the WRMs and discussing about Jeffery-Hamel flow's treatment in divergent and convergent channels are the other important purposes of the present research. Design/methodology/approach – Three analytical methods (collocation, Galerkin and least square method) have been applied to solve the governing equations. The reliability of the methods is also approved by a comparison made between the forth order Runge-Kutta numerical method. Findings – The obtained solutions revealed that WRMs can be simple, powerful and efficient techniques for finding analytical solutions in science and engineering non-linear differential equations. Originality/value – It could be considered as a first endeavor to use the solution of the Jeffery-Hamel flow using these kind of analytical methods along with the numerical approach.

APA, Harvard, Vancouver, ISO, and other styles

4

Adebowale Martins, Obalalu, Kazeem Issa, Abdulrazaq Abdulraheem, Ajala Olusegun Adebayo, Adeosun Adeshina Taofeeq, Oluwaseyi Aliu, Adebayo Lawal Lanre, and Wahaab Adisa Fatai. "NUMERICAL SIMULATION OF ENTROPY GENERATION FOR CASSON FLUID FLOW THROUGH PERMEABLE WALLS AND CONVECTIVE HEATING WITH THERMAL RADIATION EFFECT." Journal of the Serbian Society for Computational Mechanics 14, no. 2 (December 30, 2020): 150–67. http://dx.doi.org/10.24874/jsscm.2020.14.02.10.

Full text

Abstract:

In this work, the influence of entropy generation analysis for an electrically conducting Casson fluid flow with convective boundary conditions has been numerically studied. The governing equations are analyzed numerically using weighted residual methods. Subsequently, the residuals were minimized using two different approaches of weighted residual method namely collocation weighted residual method (CWRM) and Galerkin weighted residual method (GWRM) and computed numerically using MATHEMATICAL software. The impacts of governing parameters on Casson flow velocity, temperature profile, local skin friction, and Nusselt number were analysed. The obtained solutions were used to determine the heat transfer irreversibility and bejan number of the model. The results of the computation show that the effect of thermophysical properties such as thermal radiation parameter, suction/injection parameter, magnetic field parameter, radiation parameter, and Eckert number has a significant influence on Skin friction coefficient (Cf) and local Nusselt number (Nu) when compared to the Newtonian fluid. The findings from this study are relevant to advances in viscoelasticity and enhanced oil recovery.

APA, Harvard, Vancouver, ISO, and other styles

5

Yayli, Mustafa Özgür. "Variational Iteration Technique and Weighted Residual Methods for Gradient Elastic Microbeams." Journal of Computational and Theoretical Nanoscience 11, no. 9 (September 1, 2014): 2023–33. http://dx.doi.org/10.1166/jctn.2014.3602.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Fu, Zhengqing, Guolin Liu, Ke Zhao, and Hua Guo. "Weighted Semiparameter Model and Its Application." Journal of Applied Mathematics 2014 (2014): 1–4. http://dx.doi.org/10.1155/2014/892107.

Full text

Abstract:

A weighted semiparameter estimate model is proposed. The parameter components and nonparameter components are weighted. The weights are determined by the characters of different data. Simulation data and real GPS data are both processed by the new model and least square estimate, ridge estimate, and semiparameter estimate. The main research method is to combine qualitative analysis and quantitative analysis. The deviation between estimated values and the true value and the estimated residuals fluctuation of different methods are used for qualitative analysis. The mean square error is used for quantitative analysis. The results of experiment show that the model has the smallest residual error and the minimum mean square error. The weighted semiparameter estimate model has effectiveness and high precision.

APA, Harvard, Vancouver, ISO, and other styles

7

Aurada, Markus, Michael Feischl, Thomas Führer, Michael Karkulik, and Dirk Praetorius. "Efficiency and Optimality of Some Weighted-Residual Error Estimator for Adaptive 2D Boundary Element Methods." Computational Methods in Applied Mathematics 13, no. 3 (July 1, 2013): 305–32. http://dx.doi.org/10.1515/cmam-2013-0010.

Full text

Abstract:

Abstract. We prove convergence and quasi-optimality of a lowest-order adaptive boundary element method for a weakly-singular integral equation in 2D. The adaptive mesh-refinement is driven by the weighted-residual error estimator. By proving that this estimator is not only reliable, but under some regularity assumptions on the given data also efficient on locally refined meshes, we characterize the approximation class in terms of the Galerkin error only. In particular, this yields that no adaptive strategy can do better, and the weighted-residual error estimator is thus an optimal choice to steer the adaptive mesh-refinement. As a side result, we prove a weak form of the saturation assumption.

APA, Harvard, Vancouver, ISO, and other styles

8

Donea, J. "Generalized Galerkin Methods for Convection Dominated Transport Phenomena." Applied Mechanics Reviews 44, no. 5 (May 1, 1991): 205–14. http://dx.doi.org/10.1115/1.3119502.

Full text

Abstract:

A brief survey is made of recent advances in the development of finite element methods for convection dominated transport phenomena. Because of the nonsymmetric character of convection operators, the standard Galerkin formulation of the method of weighted residuals does not possess optimal approximation properties in application to problems in this class. As a result, numerical solutions are often corrupted by spurious node-to-node oscillations. For steady problems describing convection and diffusion, spurious oscillations can be precluded by the use of upwind-type finite element approximations that are constructed through a proper Petrov-Galerkin weighted residual formulation. Various upwind finite element formulations are reviewed in this paper, with a special emphasis on the major breakthroughs represented by the so-called streamline upwind Petrov-Galerkin and Galerkin least-squares methods. The second part of the paper is devoted to a review of time-accurate finite element methods recently developed for the solution of unsteady problems governed by first-order hyperbolic equations. This includes Petrov-Galerkin, Taylor-Galerkin, least-squares, and various characteristic Galerkin methods. The extension of these methods to deal with unsteady convection-diffusion problems is also considered.

APA, Harvard, Vancouver, ISO, and other styles

9

Kochneva, Elena, Andrew Pazderin, and Aleksandar Sukalo. "Improving of Energy Measurements Reliability Using Weighted and Normalized Residual Analysis." Applied Mechanics and Materials 792 (September 2015): 255–60. http://dx.doi.org/10.4028/www.scientific.net/amm.792.255.

Full text

Abstract:

The article considers the possibility of a posteriori methods implementation for energy measurements verification. Posteriori methods are developed in the framework of state estimation theory. The new approach to calculate the parameters of electric conditions using electrical energy measurements is discussed. Test scheme with different measurements sets is considered. Results demonstrate the implementation of a posteriori analysis.

APA, Harvard, Vancouver, ISO, and other styles

10

Ackroyd, R. T. "Generalized least squares as a generator of variational principles and weighted residual methods for FEM transport methods." Progress in Nuclear Energy 18, no. 1-2 (January 1986): 45–62. http://dx.doi.org/10.1016/0149-1970(86)90012-0.

Full text

APA, Harvard, Vancouver, ISO, and other styles

More sources

Dissertations / Theses on the topic "Weighted residual methods"

1

Johansson, August. "Duality-based adaptive finite element methods with application to time-dependent problems." Doctoral thesis, Umeå : Institutionen för matematik och matematisk statistik, Umeå universitet, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-33872.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Mokhtarzadeh, M. R. "A general global approximation method for the solution of boundary value problems." Thesis, Loughborough University, 1998. https://dspace.lboro.ac.uk/2134/14478.

Full text

Abstract:

A general global approximation scheme is developed and its generality is demonstrated by the derivation of classical Lagrange and Hermite interpolation and finite difference and finite element approximations as its special cases. It is also shown that previously reported general approximation techniques which use the idea of moving least square are also special cases of the present method. The combination of the developed general global approximation technique with the weighted residual methods provides a very powerful scheme for the solution of the boundary value problems formulated in terms of differential equations. Although this application is the main purpose of the this project, nevertheless, the power and flexibility of the developed approximation allows it to be used in many other areas. In this study the following applications of the described approximation are developed: 1- data fitting (including curve and surface fitting) 2- plane mapping (both in cases where a conformal mapping exists and for non-conformal mapping) 3- solution of eigenvalue problems with particular application to spectral expansions used in the modal representation of shallow water equations 4- solution of ordinary differential equations (including Sturm-Liouville equations, non-homogeneous equations with non-smooth right hand sides and 4th order equations) 5- elliptic partial differential equations (including Poisson equations with non-smooth right hand sides) A computer program which can handle the above applications is developed. This program utilises symbolic, numerical and graphical and the programming language provided by the Mathematica package.

APA, Harvard, Vancouver, ISO, and other styles

3

Claewplodtook, Pana. "Optimization of nonlinear dynamic systems without Lagrange multipliers." Ohio : Ohio University, 1996. http://www.ohiolink.edu/etd/view.cgi?ohiou1178654973.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Wang, Yuanhan. "The elastic and elasto-plastic fracture analysis by method of weighted residuals and elasto-viscoplasticity /." [Hong Kong] : University of Hong Kong, 1988. http://sunzi.lib.hku.hk/hkuto/record.jsp?B12384033.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Lord, Natacha Hajanirina. "Analysis of electromagnetic waves in a periodic diffraction grating using a priori error estimates and a dual weighted residual method." Thesis, University of Strathclyde, 2012. http://oleg.lib.strath.ac.uk:80/R/?func=dbin-jump-full&object_id=16856.

Full text

Abstract:

The problem of using the α,0 and the α, β-quasi periodic transformations within a finite element method in studying electromagnetic waves in a periodic space is addressed. We investigate an a priori error estimate for both transformations which allows us to solve our problem numerically on a uniform mesh. We also analyse the Dual Weighted Residual (DWR) method with the α,0-quasi periodic transformation to derive an a posteriori error estimate. This error estimate is later used to compute efficiently the numerical solution using an adaptive method. We then implement the above finite element methods. It is shown numerically that our numerical results are in good agreement with those in the literature, the α, β-quasi periodic method converges at a far lower number of degrees of freedom than the α,0-quasi periodic method and the DWR method converges faster and requires fewer degrees of freedom than the global a posteriori error estimate or the uniform mesh. We also explore the geometrical freedom given by the finite element method and examine wave scattering by the Morpho butterfly wing.

APA, Harvard, Vancouver, ISO, and other styles

6

Gedicke, Joscha Micha. "On the numerical analysis of eigenvalue problems." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2013. http://dx.doi.org/10.18452/16841.

Full text

Abstract:

Die vorliegende Arbeit zum Thema der numerischen Analysis von Eigenwertproblemen befasst sich mit fünf wesentlichen Aspekten der numerischen Analysis von Eigenwertproblemen. Der erste Teil präsentiert einen Algorithmus von asymptotisch quasi-optimaler Rechenlaufzeit, der die adaptive Finite Elemente Methode mit einem iterativen algebraischen Eigenwertlöser kombiniert. Der zweite Teil präsentiert explizite beidseitige Schranken für die Eigenwerte des Laplace Operators auf beliebig groben Gittern basierend auf einer Approximation der zugehörigen Eigenfunktion in dem nicht konformen Finite Elemente Raum von Crouzeix und Raviart und einem Postprocessing. Die Effizienz der garantierten Schranke des Eigenwertfehlers hängt von der globalen Gitterweite ab. Der dritte Teil betrachtet eine adaptive Finite Elemente Methode basierend auf Verfeinerungen von Knoten-Patchen. Dieser Algorithmus zeigt eine asymptotische Fehlerreduktion der adaptiven Sequenz von einfachen Eigenwerten und Eigenfunktionen des Laplace Operators. Die hier erstmals bewiesene Eigenschaft der Saturation des Eigenwertfehlers zeigt Zuverlässigkeit und Effizienz für eine Klasse von hierarchischen a posteriori Fehlerschätzern. Der vierte Teil betrachtet a posteriori Fehlerschätzer für Konvektion-Diffusion Eigenwertprobleme, wie sie von Heuveline und Rannacher (2001) im Kontext der dual-gewichteten residualen Methode (DWR) diskutiert wurden. Zwei neue dual-gewichtete a posteriori Fehlerschätzer werden vorgestellt. Der letzte Teil beschäftigt sich mit drei adaptiven Algorithmen für Eigenwertprobleme von nicht selbst-adjungierten Operatoren partieller Differentialgleichungen. Alle drei Algorithmen basieren auf einer Homotopie-Methode die vom einfacheren selbst-adjungierten Problem startet. Neben der Gitterverfeinerung wird der Prozess der Homotopie sowie die Anzahl der Iterationen des algebraischen Löser adaptiv gesteuert und die verschiedenen Anteile am gesamten Fehler ausbalanciert.
This thesis "on the numerical analysis of eigenvalue problems" consists of five major aspects of the numerical analysis of adaptive finite element methods for eigenvalue problems. The first part presents a combined adaptive finite element method with an iterative algebraic eigenvalue solver for a symmetric eigenvalue problem of asymptotic quasi-optimal computational complexity. The second part introduces fully computable two-sided bounds on the eigenvalues of the Laplace operator on arbitrarily coarse meshes based on some approximation of the corresponding eigenfunction in the nonconforming Crouzeix-Raviart finite element space plus some postprocessing. The efficiency of the guaranteed error bounds involves the global mesh-size and is proven for the large class of graded meshes. The third part presents an adaptive finite element method (AFEM) based on nodal-patch refinement that leads to an asymptotic error reduction property for the adaptive sequence of simple eigenvalues and eigenfunctions of the Laplace operator. The proven saturation property yields reliability and efficiency for a class of hierarchical a posteriori error estimators. The fourth part considers a posteriori error estimators for convection-diffusion eigenvalue problems as discussed by Heuveline and Rannacher (2001) in the context of the dual-weighted residual method (DWR). Two new dual-weighted a posteriori error estimators are presented. The last part presents three adaptive algorithms for eigenvalue problems associated with non-selfadjoint partial differential operators. The basis for the developed algorithms is a homotopy method which departs from a well-understood selfadjoint problem. Apart from the adaptive grid refinement, the progress of the homotopy as well as the solution of the iterative method are adapted to balance the contributions of the different error sources.

APA, Harvard, Vancouver, ISO, and other styles

7

Alves, Michell Macedo. "Emprego do método de resíduos ponderados para análise de tubos." Universidade de São Paulo, 2005. http://www.teses.usp.br/teses/disponiveis/18/18134/tde-19092005-113011/.

Full text

Abstract:

O presente trabalho trata da aplicação do Método de Resíduos Ponderados, mais especificamente do Método dos Mínimos Quadrados, na obtenção de soluções aproximadas de problemas de estruturas em casca, em especial os reservatórios cilíndricos submetidos a carregamento hidrostático em regime de comportamento linear. Os meios empregados para a obtenção das soluções aproximadas referem-se à adoção de bases aproximativas lineares, polinomiais, além da possibilidade de enriquecimento da aproximação mediante a adição de funções com características similares à própria solução exata. Uma outra alternativa utilizada refere-se à aplicação do Método dos Mínimos Quadrados com divisão do domínio de integração. Tais procedimentos podem ser úteis na análise de estruturas por evitar, de modo significativo, a elevação do esforço computacional, mediante a utilização de uma base aproximativa que corresponda às características requeridas pela solução analítica do problema.
The present dissertation deals with the application of the Weighed Residual Method to analysis of cilindrical shells, more specifically of the Least Squared Method, in the attainment of approach solutions of shells structural problems, in special the cylindrical reservoirs submitted the hydrostatic shipment in regimen of linear behavior. The half employees for obtention of the approach solutions refer to adotion of linear, polynomial approaches bases, beyond the possibility of enrichment of the approach by means of the addition of functions with similar characteristics to the proper accurate solution.One another used alternative mentions the application to Least Squared Method with division of the integration domain. Such procedures can be useful in the analysis of structures for preventing, in significant way, the rise of the computational effort, by means of the use of a aproximativa base that correspond to the characteristics required for the analytical solution of the problem.

APA, Harvard, Vancouver, ISO, and other styles

8

Costa, Henrique de Britto. "Elementos finitos (via resíduos ponderados) na resolução do problema de segunda ordem das placas." Universidade de São Paulo, 1986. http://www.teses.usp.br/teses/disponiveis/3/3144/tde-03072017-165248/.

Full text

Abstract:

Este trabalho aborda os conceitos básicos da teoria de segunda ordem das placas elásticas delgadas, utilizando o Método dos Elementos Finitos (introduzido através do Método dos Resíduos Ponderados, na variante de Galerkin). São deduzidas as matrizes de rigidez geométrica, de rigidez secante e de rigidez tangente, relativas ao problema em consideração. É proposta ainda uma conduta notavelmente simplificada, que facilita sobremaneira a construção da matriz de rigidez tangente.
This paper delas with the basic concepts of the secondf order theory of thin elastic plates, through the use of the Finite Element Method 9introcuced through the Weighted Residual Method, in Galerkin\'s approach). The matrices of geometric stiffness, secant stiffness, and tangent stiffness for the problem under consideration are deduced. It is also proposed an outstandingly simplified conduct, which will greatly easen the construction of the tangent stiffness matrix.

APA, Harvard, Vancouver, ISO, and other styles

9

Klepáč, Jaromír. "Aplikace gradientní pružnosti v problémech lomové mechaniky." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2014. http://www.nusl.cz/ntk/nusl-231071.

Full text

Abstract:

The presented master’s thesis deals with the application of the gradient elasticity in fracture mechanics problems. Specifically, the displacement and stress field around the crack tip is a matter of interest. The influence of a material microstructure is considered. Introductory chapters are devoted to a brief historical overview of gradient models and definition of basic equations of dipolar gradient elasticity derived from Mindlin gradient theory form II. For comparison, relations of classical elasticity are introduced. Then a derivation of asymptotic displacement field using the Williams asymptotic technique follows. In the case of gradient elasticity, also the calculation of the J-integral is included. The mathematical formulation is reduced due to the singular nature of the problem to singular integral equations. The methods for solving integral equations in Cauchy principal value and Hadamard finite part sense are briefly introduced. For the evaluation of regular kernel, a Gauss-Chebyshev quadrature is used. There also mentioned approximate methods for solving systems of integral equations such as the weighted residual method, especially the least square method with collocation points. In the main part of the thesis the system of integral equations is derived using the Fourier transform for straight crack in an infinite body. This system is then solved numerically in the software Mathematica and the results are compared with the finite element model of ceramic foam.

APA, Harvard, Vancouver, ISO, and other styles

10

Singh, Baljeet. "A Weighted Residual Framework for Formulation and Analysis of Direct Transcription Methods for Optimal Control." Thesis, 2010. http://hdl.handle.net/1969.1/ETD-TAMU-2010-12-8688.

Full text

Abstract:

In the past three decades, numerous methods have been proposed to transcribe optimal control problems (OCP) into nonlinear programming problems (NLP). In this dissertation work, a unifying weighted residual framework is developed under which most of the existing transcription methods can be derived by judiciously choosing test and trial functions. This greatly simplifies the derivation of optimality conditions and costate estimation results for direct transcription methods. Under the same framework, three new transcription methods are devised which are particularly suitable for implementation in an adaptive refinement setting. The method of Hilbert space projection, the least square method for optimal control and generalized moment method for optimal control are developed and their optimality conditions are derived. It is shown that under a set of equivalence conditions, costates can be estimated from the Lagrange multipliers of the associated NLP for all three methods. Numerical implementation of these methods is described using B-Splines and global interpolating polynomials as approximating functions. It is shown that the existing pseudospectral methods for optimal control can be formulated and analyzed under the proposed weighted residual framework. Performance of Legendre, Gauss and Radau pseudospectral methods is compared with the methods proposed in this research. Based on the variational analysis of first-order optimality conditions for the optimal control problem, an posteriori error estimation procedure is developed. Using these error estimates, an h-adaptive scheme is outlined for the implementation of least square method in an adaptive manner. A time-scaling technique is described to handle problems with discontinuous control or multiple phases. Several real-life examples were solved to show the efficacy of the h-adaptive and time-scaling algorithm.

APA, Harvard, Vancouver, ISO, and other styles

More sources

Books on the topic "Weighted residual methods"

1

Finlayson, Bruce A. The method of weighted residuals and variational principles. Philadelphia: SIAM, Society for Industrial and Applied Mathematics, 2014.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

2

Weighted Residual Methods. Elsevier, 2018. http://dx.doi.org/10.1016/c2016-0-04551-5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Hatami, Mohammad. Weighted Residual Methods: Principles, Modifications and Applications. Elsevier Science & Technology Books, 2017.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Weighted residual methods"

1

Fletcher, Clive A. J. "Weighted Residual Methods." In Computational Techniques for Fluid Dynamics 1, 98–162. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-97035-1_5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Srinivas, Karkenahalli, and Clive A. J. Fletcher. "Weighted Residual Methods." In Scientific Computation, 27–39. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-58108-3_4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Fletcher, Clive A. J. "Weighted Residual Methods." In Computational Techniques for Fluid Dynamics 1, 98–162. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-642-58229-5_5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Öchsner, Andreas. "Weighted Residual Methods for Finite Elements." In Encyclopedia of Continuum Mechanics, 2771–86. Berlin, Heidelberg: Springer Berlin Heidelberg, 2020. http://dx.doi.org/10.1007/978-3-662-55771-6_20.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Öchsner, Andreas. "Weighted Residual Methods for Finite Elements." In Encyclopedia of Continuum Mechanics, 1–16. Berlin, Heidelberg: Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-53605-6_20-1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Boyd, John Philip. "Mean Weighted Residual Methods & Inner Products." In Lecture Notes in Engineering, 79–114. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-83876-7_3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Kovarik, Karel. "Weighted Residuals Method." In Numerical Models in Groundwater Pollution, 49–60. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-642-56982-1_4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Stocker, Thomas, and Kolumban Hutter. "The Method of Weighted Residuals." In Topographic Waves in Channels and Lakes on the f-Plane, 87–94. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-50990-2_4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Haynes, Colin M., Michael D. Todd, and Kevin L. Napolitano. "Uncertainty Quantification of Weighted Residual Method in Loads Estimation." In Topics in Model Validation and Uncertainty Quantification, Volume 4, 125–32. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-2431-4_13.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

L’vov, Max, Bernd Lacombe, and Ulrich Ehehalt. "Residual Modal Unbalance Evaluation Method by Mode Shape Weighted Optimization." In Mechanisms and Machine Science, 93–108. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-99272-3_7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Weighted residual methods"

1

"Spectral Solutions of a Combined Multifluid--population Balance ModelDescribing Bubbly Flow - A Numerical Study of weighted Residual Methods." In 3rd International Conference on Simulation and Modeling Methodologies, Technologies and Applications. SciTePress - Science and and Technology Publications, 2013. http://dx.doi.org/10.5220/0004477401020107.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Liu, Zongmin, Guohui Wu, Lifu Liang, and Haiyan Song. "Geometric Nonlinear Elasto-Dynamics Problems Solved by Variational Method." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-38043.

Full text

Abstract:

With the development of hydromechanics and aeromechanics, the interest in non-conservative and non-selfadjoint problems has increased. However some traditional variational methods are not applicable to these problems, which have no energy functional in full variable form. And weighted residuals method is the general name of a series of approximate numerical methods for non-energy variational equations. Generalized Galerkin method is just one of weighted residual method, which is engineer’s experience summary in long practical applied process for the numerical analysis methods. Generalized Galerkin method is often used for dynamic response problems. In this paper, the general process for solving geometric nonlinear elasto-dynamics problem in non-conservative system is presented. The vibration problem of elastic thin plate with large deflection in non-conservative system is solved by generalized Galerkin method. Finally, some correlative problems are discussed.

APA, Harvard, Vancouver, ISO, and other styles

3

Okada, Hiroo, Takashi Tsubogo, Koji Masaoka, and Yuichi Taniguchi. "A Study on Efficient Methods for Estimating Load Effects and Reliability and Their Application to Preliminary Structural Design of Rectangular-VLFS: 1st Report." In 25th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2006. http://dx.doi.org/10.1115/omae2006-92224.

Full text

Abstract:

This paper is concerned with efficient methods for estimating load effects and reliability and their application to preliminary structural design of box-type VLFS supposed as a floating airport, which is to be put in the west area of the Inland Sea of Japan (“Setonaikai”). In this study, as the first report, structural responses in oblique waves are investigated by using the efficient method based on Weighted Residual Method combined with thin plate and shallow water approximation presented by Tsubogo (2004). Effects of wavelength and wave incident angles on characteristics of the structural response are clarified from results obtained by numerical calculation. These results can be used to evaluate the load effect and the reliability in next report.

APA, Harvard, Vancouver, ISO, and other styles

4

Cai, Yun, Xingjie Peng, Qing Li, Kan Wang, Wei Sun, and Zhaohu Gong. "A Three-Dimensional Flux Expansion Nodal Method for Hexagonal Geometry Application." In 2016 24th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/icone24-61135.

Full text

Abstract:

In this paper, a new flux expansion nodal method for hexagonal-z geometry is presented to solve multi-group neutron diffusion equations. In each three dimensional node and each group, the intra-nodal flux is approximated by the linear combination of exponential functions and orthogonal polynomials up to the second order. The coefficients are obtained by the weighted residual methods and the coupling conditions of the nodes, which satisfy the continuity of both the zero- and first-order moments of fluxes and currents across the nodal surfaces. A series of benchmark problems including the three dimensional cases are used to test this method. The numerical results verify that it is a rather accurate and efficient for the estimation of the eigenvalue and power distribution.

APA, Harvard, Vancouver, ISO, and other styles

5

Pasic, H. "Solution Numerical of Stiff ODEs and DAEs in Mechanical and Other Systems." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-4220.

Full text

Abstract:

Abstract Presented is a formal solution of the initial-value problem of the system of general implicit differential-algebraic equations (DAEs) F(x, y, y’) = 0 of index zero or higher, based on perturbations of the polynomial coefficients of the vector y(x). The equation is linearized with respect to the coefficients and brought into a form suitable for implementation of the weighted residual methods. The solution is advanced by a single-step multi-stage collocation qadrature formula which is stiffly accurate and suitable for solving stiff differential equations and DAEs that arise in many mechanical and other systems. The algorithm is illustrated by two index-2 and index-3 examples — one of which is the well known pendulum problem.

APA, Harvard, Vancouver, ISO, and other styles

6

Kargarnovin, M. H., and A. Joodaky. "Bending Analysis of Thin Skew Plates Using Extended Kantorovich Method." In ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2010. http://dx.doi.org/10.1115/esda2010-24138.

Full text

Abstract:

An accurate approximate closed-form solution is presented for bending of thin skew plates with clamped edges subjected to uniform loading using the extended Kantorovich method (EKM). Successive application of EKM together with the idea of weighted residual technique (Galerkin method) converts the governing forth-order partial differential equation (PDE) to two separate ordinary differential equations (ODE) in terms of oblique coordinates system. The obtained ODE systems are then solved iteratively with very fast convergence. In every iteration step, exact closed-form solutions are obtained for two ODE systems. It is shown that some parameters such as angle of skew plate have an important effect on results. It is shown that the method provides sufficiently accurate results not only for deflections but also for stress components. Comparison of the deflection and stresses at various points of the plates show very good agreement with results of other analytical and numerical analyses. Also, it has been shown that for skew angle less than 30° this method provides more accurate results and when the skew angle becomes greater than 30°, results gradually begin to deviate from those reported using other methods or by finite element softwares.

APA, Harvard, Vancouver, ISO, and other styles

7

Ebna Hai, Bhuiyan Shameem Mahmood, and Markus Bause. "Adaptive Finite Elements Simulation Methods and Applications for Monolithic Fluid-Structure Interaction (FSI) Problem." In ASME 2014 4th Joint US-European Fluids Engineering Division Summer Meeting collocated with the ASME 2014 12th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/fedsm2014-21379.

Full text

Abstract:

Will an aircraft wing have the structural integrity to withstand the forces or fail when it’s racing at a full speed? Fluid-structure interaction (FSI) analysis can help you to answer this question without the need to create costly prototypes. However, combining fluid dynamics with structural analysis traditionally poses a formidable challenge for even the most advanced numerical techniques due to the disconnected, domain-specific nature of analysis tools. In this paper, we present the state-of-the-art in computational FSI methods and techniques that go beyond the fundamentals of computational fluid and solid mechanics. In fact, the fundamental rule require transferring results from the computational fluid dynamics (CFD) analysis as input into the structural analysis and thus can be time-consuming, tedious and error-prone. This work consists of the investigation of different time stepping scheme formulations for a nonlinear fluid-structure interaction problem coupling the incompressible Navier-Stokes equations with a hyperelastic solid based on the well established Arbitrary Lagrangian Eulerian (ALE) framework. Temporal discretization is based on finite differences and a formulation as one step-θ scheme, from which we can extract the implicit euler, crank-nicolson, shifted crank-nicolson and the fractional-step-θ schemes. The ALE approach provides a simple, but powerful procedure to couple fluid flows with solid deformations by a monolithic solution algorithm. In such a setting, the fluid equations are transformed to a fixed reference configuration via the ALE mapping. The goal of this work is the development of concepts for the efficient numerical solution of FSI problem and the analysis of various fluid-mesh motion techniques, a comparison of different second-order time-stepping schemes. The time discretization is based on finite difference schemes whereas the spatial discretization is done with a Galerkin finite element scheme. The nonlinear problem is solved with Newton’s method. To control computational costs, we apply a simplified version of a posteriori error estimation using the dual weighted residual (DWR) method. This method is used for the mesh adaption during the computation. The implementation using the software library package DOpElib and deal.II serves for the computation of different fluid-structure configurations.

APA, Harvard, Vancouver, ISO, and other styles

8

Walther, Benjamin, and Siva Nadarajah. "An Adjoint-Based Multi-Point Optimization Method for Robust Turbomachinery Design." In ASME Turbo Expo 2015: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/gt2015-44142.

Full text

Abstract:

This paper introduces a multi-point design capability to discrete adjoint-based aerodynamic shape optimization for multi-stage turbomachines. The developed optimization framework allows to improve a compressor or turbine design not only for a certain operating point, but enables the inclusion of additional off-design operation points, therefore guaranteeing a robust design and annihilating the risk of improving the configuration for a specific design point while deteriorating the overall operability of the turbomachine. To keep the computational cost to a minimum, at every design cycle the flow and adjoint solutions are first calculated and stored for each operating point. This approach ensures that the subsequent finite-difference approximation of the residual sensitivity with respect to the design variables is obtained at a cost nearly independent of the number of investigated operating points. The objective function gradient is then assembled as a weighted sum of the sensitivities calculated for the different operating points. The developed multi-point optimization method is applied to a single-stage transonic compressor and both the back pressure and the rotor wheel speed are varied to investigate the use of adjoint-based design methods to efficiently explore robust turbomachinery designs.

APA, Harvard, Vancouver, ISO, and other styles

9

Teng, H., S. K. Bate, and D. W. Beardsmore. "Statistical Analysis of Residual Stress Profiles Using a Heuristic Method." In ASME 2008 Pressure Vessels and Piping Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/pvp2008-61378.

Full text

Abstract:

In this paper we present a recently developed heuristic method for statistical analysis of residual stress that is based on a combination of the weighted least-squares method and the application of expert judgement. The least-squares method allows a model of the best residual stress profile to be determined as a linear combination of basis functions; the expert knowledge gives the flexibility of applying expert judgement to determine the weights from the observed scatter in the residual stress data. The heuristic method has been applied to a set of measurement data of a Welded Bead-on-Plate specimen. The results show that with the heuristic method, it is possible to obtain less conservative residual stress profile to a known confidence level.

APA, Harvard, Vancouver, ISO, and other styles

10

Ebna Hai, Bhuiyan Shameem Mahmood, and Markus Bause. "Adaptive Multigrid Methods for Extended Fluid-Structure Interaction (eXFSI) Problem: Part I — Mathematical Modelling." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-53265.

Full text

Abstract:

This contribution is the first part of three papers on Adaptive Multigrid Methods for eXtended Fluid-Structure Interaction (eXFSI) Problem, where we introduce a monolithic variational formulation and solution techniques. In a monolithic nonlinear fluid-structure interaction (FSI), the fluid and structure models are formulated in different coordinate systems. This makes the FSI setup of a common variational description difficult and challenging. This article presents the state-of-the-art of recent developments in the finite element approximation of FSI problem based on monolithic variational formulation in the well-established arbitrary Lagrangian Eulerian (ALE) framework. This research will focus on the newly developed mathematical model of a new FSI problem which is called eXtended Fluid-Structure Interaction (eXFSI) problem in ALE framework. This model is used to design an on-live Structural Health Monitoring (SHM) system in order to determine the wave propagation in moving domains and optimum locations for SHM sensors. eXFSI is strongly coupled problem of typical FSI with a wave propagation problem on the fluid-structure interface, where wave propagation problems automatically adopted the boundary conditions from of the typical FSI problem at each time step. The ALE approach provides a simple, but powerful procedure to couple fluid flows with solid deformations by a monolithic solution algorithm. In such a setting, the fluid equations are transformed to a fixed reference configuration via the ALE mapping. The goal of this work is the development of concepts for the efficient numerical solution of eXFSI problem, the analysis of various fluid-mesh motion techniques and comparison of different second-order time-stepping schemes. This work consists of the investigation of different time stepping scheme formulations for a nonlinear FSI problem coupling the acoustic/elastic wave propagation on the fluid-structure interface. Temporal discretization is based on finite differences and is formulated as an one step-θ scheme; from which we can consider the following particular cases: the implicit Euler, Crank-Nicolson, shifted Crank-Nicolson and the Fractional-Step-θ schemes. The nonlinear problem is solved with Newton’s method whereas the spatial discretization is done with a Galerkin finite element scheme. To control computational costs we apply a simplified version of a posteriori error estimation using the dual weighted residual (DWR) method. This method is used for the mesh adaptation during the computation. The implementation is accomplished via the software library package DOpElib and deal.II for the computation of different eXFSI configurations.

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!