Relevant bibliographies by topics / Dual Boundary Element Method (DBEM)

Academic literature on the topic 'Dual Boundary Element Method (DBEM)'

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Published: 10 March 2023

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Journal articles on the topic "Dual Boundary Element Method (DBEM)"

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Zou, F., Ivano Benedetti, and Ferri M. H. Aliabadi. "Dual Boundary Element Model of 3D Piezoelectric Smart Structures." Key Engineering Materials 754 (September 2017): 363–66. http://dx.doi.org/10.4028/www.scientific.net/kem.754.363.

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In this paper, the application of the dual boundary element method (DBEM) in the field of structural health monitoring (SHM) is explored. The model involves a 3D host structure, which is formulated by the DBEM in the Laplace domain, and 3D piezoelectric transducers, whose finite element model is derived from the electro-mechanical behaviour of piezoelectricity. The piezoelectric transducers and the host structure are coupled together via BEM variables. The practicability of this method in active sensing applications is demonstrated through comparisons with established FEM and parametric studies.
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Kao, J. H., K. H. Chen, J. T. Chen, and S. R. Kuo. "Isogeometric Analysis of the Dual Boundary Element Method for the Laplace Problem With a Degenerate Boundary." Journal of Mechanics 36, no. 1 (September 23, 2019): 35–46. http://dx.doi.org/10.1017/jmech.2019.18.

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ABSTRACTIn this paper, we develop the isogeometric analysis of the dual boundary element method (IGA-DBEM) to solve the potential problem with a degenerate boundary. The non-uniform rational B-Spline (NURBS) based functions are employed to interpolate the geometry and physical function. To deal with the rank-deficiency problem due to the degenerate boundary, the hypersingular integral equation is introduced to promote the full rank for the influence matrix in the dual BEM. Finally, three numerical examples are given to verify the accuracy of our proposed method. Both circular and square domains subjected to the Dirichlet boundary condition are considered. The engineering problem containing a degenerate boundary is considered, e.g., a seepage flow problem with a sheet pile. Numerical results of the IGA-DBEM agree well with these of the exact solution and the original dual boundary element method.
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Zou, F., and M. H. Aliabadi. "A Dual Boundary Element Model for Electromechanical Impedance Based Damage Detection Applications." Key Engineering Materials 665 (September 2015): 265–68. http://dx.doi.org/10.4028/www.scientific.net/kem.665.265.

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In this paper, a boundary element method (BEM) for the time-harmonic analysis of electromechanically (EM) coupled 3D structures is presented. Among the two components of an EM coupled structure, the piezoelectric transducer is modelled by a semi-analytical finite element method (FEM), and the host structure is formulated by the dual boundary element method (DBEM). The analysis of the coupled structure is performed in the Fourier domain. The electromechanical impedance (EMI) of the system is used for the purpose of detecting damages.
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Pineda, E., and M. H. Aliabadi. "Dual Boundary Element Analysis for Time-Dependent Fracture Problems in Creeping Materials." Key Engineering Materials 383 (June 2008): 109–21. http://dx.doi.org/10.4028/www.scientific.net/kem.383.109.

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This paper presents the development of a new boundary element formulation for analysis of fracture problems in creeping materials. For the creep crack analysis the Dual Boundary Element Method (DBEM), which contains two independent integral equations, was formulated. The implementation of creep strain in the formulation is achieved through domain integrals in both boundary integral equations. The domain, where the creep phenomena takes place, is discretized into quadratic quadrilateral continuous and discontinuous cells. The creep analysis is applied to metals with secondary creep behaviour. This is con ned to standard power law creep equations. Constant applied loads are used to demonstrate time e¤ects. Numerical results are compared with solutions obtained from the Finite Element Method (FEM) and others reported in the literature.
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Liao, Y.-S., S.-W. Chyuan, and J.-T. Chen. "Numerical studies of variations in the gap and finger width ratio and travelled distance for the driving force of a radio-frequency microelectromechanical system device using the dual boundary element method." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 218, no. 10 (October 1, 2004): 1243–53. http://dx.doi.org/10.1243/0954406042368982.

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For the comb-drive design of microelectromechanical systems (MEMSs), the driving force due to the electrostatic field is very important, and an accurate electrostatic analysis is essential and indispensable. For various gaps, finger width ratios and travelled distances of the comb drive of MEMSs, the dual boundary element method (DBEM) has become a better method than the domain-type finite element method because the DBEM can provide a complete solution in terms of boundary values, with substantial saving in modelling effort. In this article, the DBEM is used to simulate the fringing field around the edges of the fixed and movable fingers of the comb drive of an MEMS for diverse design cases, and many electrostatic problems for typical comb drive designs of MEMSs are analysed, investigated and compared with a widely used approximate method. Results show that the driving force is obviously dependent on the travelled distance, and the approximate method cannot work well for all travelled positions because there is an apparent error (not less than 10 per cent), especially at the beginning and ends of the range of travel. In addition, the smaller the gap between movable and fixed fingers, the larger the driving force is, and the error of approximate method also becomes more and more predominant as the gap decreases. The results also demonstrate that the difference between the DBEM and the approximate method effect due to finger width ratio is very small. Using the DBEM presented in this article, an accurate and reasonable electrostatic field can be obtained, and the follow-up control method of driving force for the comb drive of an MEMS can be implemented more precisely.
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Citarella, Roberto G., G. Cricrì, and E. Armentani. "Multiple Crack Propagation with Dual Boundary Element Method in Stiffened and Reinforced Full Scale Aeronautic Panels." Key Engineering Materials 560 (July 2013): 129–55. http://dx.doi.org/10.4028/www.scientific.net/kem.560.129.

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In this work, the performance of a new methodology, based on the Dual Boundary Element Method (DBEM) and applied to reinforced cracked aeronautic panels, is assessed. Such procedure is mainly based on two-dimensional stress analyses, whereas the three-dimensional modelling, always implemented in conjunction with the sub-modelling approach, is limited to those situations in which the so-called secondary bending effects cannot be neglected. The connection between the different layers (patches and main panel) is realised by rivets: a peculiar original arrangement of the rivet configuration in the two-dimensional DBEM model allows to take into account the real in-plane panel stiffness and the transversal rivet stiffness, even with a two dimensional approach. Different in plane loading configurations are considered, depending on the presence of a biaxial or uniaxial remote load. The nonlinear hole/rivet contact, is simulated by gap elements when needed. The most stressed skin holes are highlighted, and the effect of through the thickness cracks, initiated from the aforementioned holes, is analysed in terms of stress redistribution, SIF evaluation and crack propagation. The two-dimensional approximation for such kind of problems is generally not detrimental to the accuracy level, due the low thickness of involved panels, and is particularly efficient for studying varying reinforcement configurations, where reduced run times and a lean pre-processing phase are prerequisites.The accuracy of the proposed approach is assessed by comparison with Finite Element Method (FEM) results and experimental tests available in literature.This approach aims at providing a general purpose prediction tool useful to improve the understanding of the fatigue resistance of aeronautic panels.KEYWORDSDBEM, full scale aeronautic panel, 2D/3D crack growth, MSD, doubler-skin assembly, damage tolerance
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Xie, Guizhong, and Fenglin Zhou. "A Generation of Special Triangular Boundary Element Shape Functions for 3D Crack Problems." Mathematical Problems in Engineering 2020 (January 24, 2020): 1–17. http://dx.doi.org/10.1155/2020/4629761.

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This paper focuses on tackling the two drawbacks of the dual boundary element method (DBEM) when solving crack problems with a discontinuous triangular element: low accuracy of the calculation of integrals with singularity and crack front element must be utilized to model the square-root property of displacement. In order to calculate the integrals with higher order singularity, the triangular elements are segmented into several subregions which consist of subtriangles and subpolygons. The singular integrals in those subtriangles are handled by the singularity subtraction technique in the integration space and can be regularized and accurately calculated. For the nearly singular integrals in those subpolygons, the element subdivision technique is employed to improve the calculation accuracy. In addition, considering the location of the crack front in the element, special crack front elements are constructed based on a 6-node discontinuous triangular element, in which the displacement extrapolation method is introduced to obtain the stress intensity factors (SIFs) without consideration of orthogonalization of the crack front mesh. Several numerical results are investigated to fully verify the validation of the presented approach.
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Wen, P. H., and M. H. Aliabadi. "Crack Growth by Dimensional Reduction Methods." Key Engineering Materials 525-526 (November 2012): 17–20. http://dx.doi.org/10.4028/www.scientific.net/kem.525-526.17.

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This paper presents a new fatigue crack growth prediction by using the dimensional reduction methods including the dual boundary element method (DBEM) and element-free Galerkin method (EFGM) for two dimensional elastostatic problems. One crack extension segment, i.e. a segment of arc, is introduced to model crack growth path. Based on the maximum principle stress criterion, this new prediction procedure ensures that the crack growth is smooth everywhere except the initial growth and the stress intensity factor of mode II is zero for each crack extension. It is found that the analyses of crack paths using coarse/large size of crack extension are in excellent agreement with analyses of the crack paths by the tangential method with very small increments of crack extension.
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Citarella, Roberto G., G. Cricrì, M. Lepore, and M. Perrella. "Assessment of Crack Growth from a Cold Worked Hole by Coupled FEM-DBEM Approach." Key Engineering Materials 577-578 (September 2013): 669–72. http://dx.doi.org/10.4028/www.scientific.net/kem.577-578.669.

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The main objective of the present work is the study of the effect of residual stresses, induced by a cold working split sleeve process, on the fatigue life of a holed specimen. The crack propagation is simulated by a two-parameters crack growth model, based on the usage of two threshold material parameters (ΔKthand Kmax,th) and on the allowance for residual stresses, introduced on the crack faces by material plastic deformations. The coupled usage of Finite Element Method (FEM) and Dual Boundary Element Method (DBEM) is proposed to simulate the crack propagation, in order to take advantage of the main capabilities of the two methods. The procedure is validated by comparison with experimental results (crack growth rates and crack path) available from literature, in order to assess its capability to predict the crack growth retardation phenomena.
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Barrinaya, Muhammad Akbar, Muhammad Nayomi Alfiyuranda, Mohammadkasem Ramezani, Ichsan Setya Putra, Singh Ramesh, Purwo Kadarno, Sri Hastuty, and Judha Purbolaksono. "Modes I-II-III stress intensity factors of a semi-elliptical surface crack at a round bar under torsion loading by FEM and DBEM." Engineering Solid Mechanics 10, no. 4 (2022): 399–406. http://dx.doi.org/10.5267/j.esm.2022.6.001.

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The corner point singularity of surface cracks by finite element method (FEM) has become a numerical concern decades ago. The literature showed that the stress intensity factors (SIFs) at the corner points were often excluded. Further, most SIFs were reported for larger ratios of the crack depth over cylinder diameter. This paper presents the SIFs (Modes I, II and III) of a semi-elliptical surface crack at a solid round bar under torsion. The tetrahedral and hexahedral elements were used in the finite element modelling. The effects of the loading mode and the crack aspect ratio on the corner point singularity were discussed. The tetrahedral meshing was generally observed to be more suitable for modelling relatively small surface cracks, particularly in respect to the corner point singularity. For all loading modes, the SIFs away from the corner points of using the tetrahedral meshing were found to have fairly good agreement with those by dual boundary element method (DBEM).
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Dissertations / Theses on the topic "Dual Boundary Element Method (DBEM)"

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Giannella, Venanzio. "Enhanced FEM-DBEM approach for fatigue crack-growth simulation." Doctoral thesis, Universita degli studi di Salerno, 2018. http://hdl.handle.net/10556/3042.

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2016 - 2017
To comply with fatigue life requirements, it is often necessary to carry out fracture mechanics assessments of structural components undergoing cyclic loadings. Fatigue growth analyses of cracks is one of the most important aspects of the structural integrity prediction for components (bars, wires, bolts, shafts, etc.) in presence of initial or accumulated in‐service damage. Stresses and strains due to mechanical as well as thermal, electromagnetical, etc., loading conditions are typical for the components of engineering structures. The problem of residual fatigue life prediction of such type of structural elements is complex, and a closed form solution is usually not available because the applied loads not rarely lead to mixed-mode conditions. Frequently, engineering structures are modelled by using the Finite Element Method (FEM) due to the availability of many well‐known commercial packages, a widespread use of the method and its well-known flexibility when dealing with complex structures. However, modelling crack-growth with FEM involves complex remeshing processes as the crack propagates, especially when mixed‐mode conditions occur. Hence, extended FEMs (XFEMs) and meshless methods have been widely and successfully applied to crack propagation analyses in the last years. These techniques allow a mesh‐independent crack representation, and remeshing is not even required to model the crack growth. The drawbacks of such mesh independency consist of high complexity of the finite elements, of material law formulation and solver algorithm. On the other hand, the Dual Boundary Element Method (DBEM) both simplifies the meshing processes and accurately characterizes the singular stress fields at the crack tips (linear assumption must be verified). Furthermore, it can be easily used in combination with FEM and, such a combination between DBEM and FEM, allows to simulate fracture problems leveraging on the high accuracy of DBEM when working on fracture, and on the versatility of FEM when working on complex structural problems... [edited by Author]
XVI n.s. (XXX ciclo)
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Figueiredo, Luiz Gustavo de. "O metodo dos elementos de contorno dual (DBEM) incorporando um modelo de zona coesiva para analise de fraturas." [s.n.], 2008. http://repositorio.unicamp.br/jspui/handle/REPOSIP/257769.

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Orientador: Leandro Palermo Junior
Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Civil, Arquitetura e Urbanismo
Made available in DSpace on 2018-08-11T02:34:56Z (GMT). No. of bitstreams: 1 Figueiredo_LuizGustavode_M.pdf: 920848 bytes, checksum: 436f0a3bed33057f927837f04e2e8804 (MD5) Previous issue date: 2008
Resumo: A avaliação da influêcia de um modelo coesivo de fratura no comportamento estrutural e a simulação de propagação de fraturas pré-existentes, com a Mecâica da Fratura Elástica Linear (MFEL), em problemas bidimensionais, usando o Método dos Elementos de Contorno Dual (DBEM), é o principal objetivo deste estudo. Problemas elásticos lineares em meio contínuo podem ser resolvidos com a equação integral de contorno de deslocamentos. O Método dos Elementos de Contorno Dual pode ser utilizado para resolver os problemas de fratura, onde a equação integral de contorno de forças de superfície é implementada em conjunto com a equação integral de contorno de deslocamentos. Elementos contínuos, descontínuos e mistos podem ser usados no contorno. Diferentes estrat?ias de posicionamento dos pontos de colocação são discutidas neste trabalho, onde os fatores de intensidade de tensão são avaliados com ténica de extrapolação de deslocamentos em fraturas existentes dos tipos: borda, inclinada e em forma de 'v¿. Um modelo coesivo é utilizado para avaliação de comportamento estrutural de um corpo de prova com fratura de borda segundo diferentes estratégias desenvolvidas: uma análise coesiva geral e uma análise coesiva iterativa, as quais são comparadas com o comportamento não coesivo. A força normal coesiva relaciona-se com o valor da abertura de fratura na direção normal na lei constitutiva na Zona de Processos Coesivos (ZPC). A simulação de propagação de uma fratura de borda existente e sua implementa?o num?ica no DBEM, sob deslocamento imposto, é realizada utilizando o critério da mínima tensão circunferencial. Palavras-chave: Método dos Elementos de Contorno; Métodos dos Elementos de Contorno Dual; Mecânica da Fratura Elástica Linear; Modelos Coesivos; Propagação de Fraturas
Abstract: An evaluation of the effect of the cohesive fracture model on the structural behavior and the crack propagation in pre-existing cracks with the Linear Elastic Fracture Mechanics (LEFM), for two dimensional problems, using the Dual Boundary Element Method (DBEM), is the main purpose of the present study. Linear elastic problems in continuum media can be solved with the boundary integral equation for displacements. The Dual Boundary Element Method can be used to solve fracture problems, where the traction boundary integral equation is employed beyond the displacement boundary integral equation. Conformal and non-conformal interpolations can be employed on the boundary. Different strategies for positioning the collocation points are discussed in this work, where the stress intensity factors are evaluated with the displacement extrapolation method to an existing single edge crack, central slant crack and central kinked crack. A cohesive model is used to evaluate the structural behavior of the specimen with a single edge crack under different strategies: a general cohesive analysis and an iterative cohesive analysis; which are compared with the non-cohesive behavior. The normal cohesive force is dependent of the crack opening value in the normal direction in the constitutive law of the Cohesive Process Zone (CPZ). A crack propagation of an existing single edge crack and its numerical implementation in DBEM, under constrained displacement, is analyzed using the maximum hoop stress criterion. Key Words: Boundary Element Method; Dual Boundary Element Method; Linear Elastic Fracture Mechanic; Cohesive Models; Propagation of Cracks
Mestrado
Estruturas
Mestre em Engenharia Civil
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Bird, Gareth Edward. "The coupled dual boundary element-scaled boundary finite element method for efficient fracture mechanics." Thesis, Durham University, 2012. http://etheses.dur.ac.uk/6996/.

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A novel numerical method is presented for applications to general fracture mechanics problems in engineering. The coupled dual boundary element-scaled boundary finite element method (DBE-SBFEM) incorporates the numerical accuracy of the SBFEM and the geometric versatility of the DBEM. Background theory, detailed derivations and literature reviews accompany the extensions made to the methods constituents necessary for their coupling as part of the present work. The coupled DBE-SBFEM, its constituent components and their application to linear elastic fracture mechanics are critically assessed and presented with numerical examples to demonstrate both method convergence and improvements over previous work. Further, a proof of concept demonstrates an alternative formation of the DBEM that both negates the need for hyper-singular integration and lends itself to a wider variety of imposed boundary conditions. Conclusions to this work are drawn and further recommendations for research in this area are made.
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Mellings, Sharon Christine. "Flaw identification using the inverse dual boundary element method." Thesis, University of Portsmouth, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.239881.

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Verhoeven, N. A. "The dual reciprocity boundary element method applied to resonant cavities." Thesis, Swansea University, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.639309.

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This thesis deals with the implementation of the dual reciprocity boundary element method for problems governed by the Helmholtz equation. The main emphasis is the simulation of acoustic cavities, such as passenger compartments of aeroplanes and of cars. The boundary element method is a numerical analysis scheme which only needs a discretisation of the boundary of the domain of interest. The dual reciprocity boundary element method is a variation of this technique. The advantage of applying this special scheme for the Helmholtz equation is that in the final equation, unlike with the 'classical' boundary element method, the matrices are independent of the wave number. The Helmholtz problems in this research involve different geometries, properties and dimensions. A total of seven codes are employed, ranging from one- to three-dimensional problem solvers. The one-dimensional code is capable of solving related eigenfrequency and wave generation problems. Three of the two-dimensional codes are applied to eigenfrequency analysis: one is based on the constant element, one uses linear elements and one employs quadratic elements. A final two-dimensional code is used for wave propagation problems and uses the constant element. The three-dimensional codes are applied to eigenfrequency analysis only; one uses constant triangular elements, and another employs linear triangular elements. The kernel integrations in the two- and three-dimensional codes are all based on analytical solutions, given in this thesis. A new method of quadratic element kernel integration is described in detail. The three-dimensional triangular boundary element kernel integrations are based on improved analytical formulations.
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Silveira, Richard John. "A dual boundary and finite element method for fluid flow." Thesis, University of Cambridge, 2014. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.708272.

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Gumgum, Sevin. "The Dual Reciprocity Boundary Element Method Solution Of Fluid Flow Problems." Phd thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12611605/index.pdf.

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In this thesis, the two-dimensional, transient, laminar flow of viscous and incompressible fluids is solved by using the dual reciprocity boundary element method (DRBEM). Natural convection and mixed convection flows are also solved with the addition of energy equation. Solutions of natural convection flow of nanofluids and micropolar fluids in enclosures are obtained for highly large values of Rayleigh number. The fundamental solution of Laplace equation is used for obtaining boundary element method (BEM) matrices whereas all the other terms in the differential equations governing the flows are considered as nonhomogeneity. This is the main advantage of DRBEM to tackle the nonlinearities in the equations with considerably small computational cost. All the convective terms are evaluated by using the DRBEM coordinate matrix which is already computed in the formulation of nonlinear terms. The resulting systems of initial value problems with respect to time are solved with forward and central differences using relaxation parameters, and the fourth-order Runge-Kutta method. The numerical stability analysis is developed for the flow problems considered with respect to the choice of the time step, relaxation parameters and problem constants. The stability analysis is made through an eigenvalue decomposition of the final coefficient matrix in the DRBEM discretized system. It is found that the implicit central difference time integration scheme with relaxation parameter value close to one, and quite large time steps gives numerically stable solutions for all flow problems solved in the thesis. One-and-two-sided lid-driven cavity flow, natural and mixed convection flows in cavities, natural convection flow of nanofluids and micropolar fluids in enclosures are solved with several geometric configurations. The solutions are visualized in terms of streamlines, vorticity, microrotation, pressure contours, isotherms and flow vectors to simulate the flow behaviour.
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Farcas, Adrian. "The dual reciprocity boundary element method for solving some inverse problems." Thesis, University of Leeds, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.411306.

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Toutip, Wattana. "The dual reciprocity boundary element method for linear and non-linear problems." Thesis, University of Hertfordshire, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.369302.

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A problem encountered in the boundary element method is the difficulty caused by corners and/or discontinuous boundary conditions. An existing code using standard linear continuous elements is modified to overcome such problems using the multiple node method with an auxiliary boundary collocation approach. Another code is implemented applying the gradient approach as an alternative to handle such problems. Laplace problems posed on variety of domain shapes have been introduced to test the programs. For Poisson problems the programs have been developed using a transformation to a Laplace problem. This method cannot be applied to solve Poissontype equations. The dual reciprocity boundary element method (DRM) which is a generalised way to avoid domain integrals is introduced to solve such equations. The gradient approach to handle corner problems is co-opted in the program using DRM. The program is modified to solve non-linear problems using an iterative method. Newton's method is applied in the program to enhance the accuracy of the results and reduce the number of iterations. The program is further developed to solve coupled Poisson-type equations and such a formulation is considered for the biharmonic problems. A coupled pair of non-linear equations describing the ohmic heating problem is also investigated. Where appropriate results are compared with those from reference solutions or exact solutions. v
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Yamada, Takashi. "Basic properties of Dual Reciprocity Boundary Element Method and applications to magnetic field analysis." Thesis, University of Portsmouth, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.240420.

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Books on the topic "Dual Boundary Element Method (DBEM)"

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Partridge, P. W., C. A. Brebbia, and L. C. Wrobel. The Dual Reciprocity Boundary Element Method. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3690-7.

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A, Brebbia C., and Wrobel L. C. 1952-, eds. The dual reciprocity boundary element method. Southampton, U.K: Computational Mechanics Publications, 1992.

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Wrobel, P. W. Partridge, and C. A. Brebbia. Dual Reciprocity Boundary Element Method. Springer, 2012.

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Book chapters on the topic "Dual Boundary Element Method (DBEM)"

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Elzein, Abbas. "Dual Reciprocity." In Plate Stability by Boundary Element Method, 89–150. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-84429-4_5.

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El Harrouni, K., D. Ouazar, L. C. Wrobel, and C. A. Brebbia. "Dual Reciprocity Boundary Element Method for Heterogeneous Porous Media." In Boundary Element Technology VII, 151–59. Dordrecht: Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-2872-8_10.

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Partridge, P. W., C. A. Brebbia, and L. C. Wrobel. "Introduction." In The Dual Reciprocity Boundary Element Method, 1–10. Dordrecht: Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-3690-7_1.

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Partridge, P. W., C. A. Brebbia, and L. C. Wrobel. "The Boundary Element Method for the Equations ∇2 u = 0 and ∇2 u = b." In The Dual Reciprocity Boundary Element Method, 11–68. Dordrecht: Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-3690-7_2.

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Partridge, P. W., C. A. Brebbia, and L. C. Wrobel. "The Dual Reciprocity Method for Equations of the Type ∇2 u = b(x,y)." In The Dual Reciprocity Boundary Element Method, 69–108. Dordrecht: Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-3690-7_3.

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Partridge, P. W., C. A. Brebbia, and L. C. Wrobel. "The Dual Reciprocity Method for Equations of the Type ∇2 u = b(x,y,u)." In The Dual Reciprocity Boundary Element Method, 109–73. Dordrecht: Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-3690-7_4.

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Partridge, P. W., C. A. Brebbia, and L. C. Wrobel. "The Dual Reciprocity Method for Equations of the Type ∇2 u = b(x,y,u,t)." In The Dual Reciprocity Boundary Element Method, 175–222. Dordrecht: Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-3690-7_5.

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Partridge, P. W., C. A. Brebbia, and L. C. Wrobel. "Other Fundamental Solutions." In The Dual Reciprocity Boundary Element Method, 223–65. Dordrecht: Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-3690-7_6.

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Partridge, P. W., C. A. Brebbia, and L. C. Wrobel. "Conclusions." In The Dual Reciprocity Boundary Element Method, 267–68. Dordrecht: Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-3690-7_7.

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Kontoni, D. P. N. "The Dual Reciprocity Boundary Element Method for the Transient Dynamic Analysis of Elastoplastic Problems." In Boundary Element Technology VII, 653–69. Dordrecht: Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-2872-8_44.

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Conference papers on the topic "Dual Boundary Element Method (DBEM)"

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Thanh Tu, B., and V. Popov. "Boundary element dual reciprocity method with overlapping sub-domains." In BEM 30. Southampton, UK: WIT Press, 2008. http://dx.doi.org/10.2495/be080181.

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Pires, Élida Gomes, Gilberto Gomes, and Marcelo Carneiro do Carmo Ribeiro. "THE BOUNDARY ELEMENT METHOD WITH DUAL RECIPROCITY IN POTENTIAL PROBLEMS." In XXXVIII Iberian-Latin American Congress on Computational Methods in Engineering. Florianopolis, Brazil: ABMEC Brazilian Association of Computational Methods in Engineering, 2017. http://dx.doi.org/10.20906/cps/cilamce2017-0336.

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Peratta, A. "Dual reciprocity boundary element method for iron corrosion in acidic solution." In ELECTORCOR 2007. Southampton, UK: WIT Press, 2007. http://dx.doi.org/10.2495/ecor070031.

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APARECIDO SOARES JR, ROMILDO, LEANDRO PALERMO JR, and LUIZ CARLOS WROBEL. "BUCKLING OF PERFORATED PLATES USING THE DUAL RECIPROCITY BOUNDARY ELEMENT METHOD." In BEM/MRM 42 2019. Southampton UK: WIT Press, Southampton UK, 2019. http://dx.doi.org/10.2495/be420081.

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Yang, Rong, Subhadra Srinivasan, and Robert L. Scot Drysdale. "Three-dimensional image-guided fluorescence using boundary element method and dual reciprocity method." In European Conference on Biomedical Optics. Washington, D.C.: OSA, 2011. http://dx.doi.org/10.1364/ecbo.2011.80881u.

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Yang, Rong, Subhadra Srinivasan, and Robert L. Scot Drysdale. "Three-dimensional image-guided fluorescence using boundary element method and dual reciprocity method." In European Conferences on Biomedical Optics, edited by Andreas H. Hielscher and Paola Taroni. SPIE, 2011. http://dx.doi.org/10.1117/12.891432.

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Archer, R., and R. N. Home. "Flow Simulation in Heterogeneous Reservoirs Using the Dual Reciprocity Boundary Element Method and the Green Element Method." In ECMOR VI - 6th European Conference on the Mathematics of Oil Recovery. European Association of Geoscientists & Engineers, 1998. http://dx.doi.org/10.3997/2214-4609.201406640.

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Andrade, Heider, and Edson Denner Leonel. "Stress intensity factors evaluation using an enriched dual boundary element method formulation." In 7th International Symposium on Solid Mechanics. ABCM, 2019. http://dx.doi.org/10.26678/abcm.mecsol2019.msl19-0033.

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Solmaz, Mehmet E., Barbaros Ҫetin, Besim Baranoğlu, Murat Serhathoğlu, and Necmi Biyikli. "Boundary element method for optical force calibration in microfluidic dual-beam optical trap." In SPIE Nanoscience + Engineering, edited by Kishan Dholakia and Gabriel C. Spalding. SPIE, 2015. http://dx.doi.org/10.1117/12.2190319.

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Inayah, Nur, Muhammad Manaqib, and Wahid Nugraha Majid. "Furrow irrigation infiltration in various soil types using dual reciprocity boundary element method." In INTERNATIONAL CONFERENCE ON MATHEMATICS, COMPUTATIONAL SCIENCES AND STATISTICS 2020. AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0042682.

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