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Статті в журналах з теми "Galerkin-isogeometric method"
Yu, Shengjiao, Renzhong Feng, and Tiegang Liu. "An isogeometric discontinuous Galerkin method for Euler equations." Mathematical Methods in the Applied Sciences 40, no. 8 (December 2, 2016): 3129–39. http://dx.doi.org/10.1002/mma.4227.
Повний текст джерелаMichoski, C., J. Chan, L. Engvall, and J. A. Evans. "Foundations of the blended isogeometric discontinuous Galerkin (BIDG) method." Computer Methods in Applied Mechanics and Engineering 305 (June 2016): 658–81. http://dx.doi.org/10.1016/j.cma.2016.02.015.
Повний текст джерелаHofer, Christoph. "Analysis of discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods." Mathematical Models and Methods in Applied Sciences 28, no. 01 (December 13, 2017): 131–58. http://dx.doi.org/10.1142/s0218202518500045.
Повний текст джерелаYu, Shengjiao. "Adjoint-Based Adaptive Isogeometric Discontinuous Galerkin Method for Euler Equations." Advances in Applied Mathematics and Mechanics 10, no. 3 (June 2018): 652–72. http://dx.doi.org/10.4208/aamm.oa-2017-0046.
Повний текст джерелаDuvigneau, R. "Isogeometric analysis for compressible flows using a Discontinuous Galerkin method." Computer Methods in Applied Mechanics and Engineering 333 (May 2018): 443–61. http://dx.doi.org/10.1016/j.cma.2018.01.039.
Повний текст джерелаWang, Kun, Shengjiao Yu, Zheng Wang, Renzhong Feng, and Tiegang Liu. "Adjoint-based airfoil optimization with adaptive isogeometric discontinuous Galerkin method." Computer Methods in Applied Mechanics and Engineering 344 (February 2019): 602–25. http://dx.doi.org/10.1016/j.cma.2018.10.033.
Повний текст джерелаPezzano, Stefano, Régis Duvigneau, and Mickaël Binois. "Geometrically consistent aerodynamic optimization using an isogeometric Discontinuous Galerkin method." Computers & Mathematics with Applications 128 (December 2022): 368–81. http://dx.doi.org/10.1016/j.camwa.2022.11.004.
Повний текст джерелаTran, Han Duc, and Binh Huy Nguyen. "An isogeometric SGBEM for crack problems of magneto-electro-elastic materials." Vietnam Journal of Mechanics 39, no. 2 (June 21, 2017): 135–47. http://dx.doi.org/10.15625/0866-7136/8691.
Повний текст джерелаRen, Jingwen, and Hongwei Lin. "A Survey on Isogeometric Collocation Methods with Applications." Mathematics 11, no. 2 (January 16, 2023): 469. http://dx.doi.org/10.3390/math11020469.
Повний текст джерелаStauffert, Maxime, and Régis Duvigneau. "Shape Sensitivity Analysis in Aerodynamics Using an Isogeometric Discontinuous Galerkin Method." SIAM Journal on Scientific Computing 43, no. 5 (January 2021): B1081—B1104. http://dx.doi.org/10.1137/20m1356269.
Повний текст джерелаДисертації з теми "Galerkin-isogeometric method"
Saade, Christelle. "Méthodes isogéométriques espace-temps pour des équations multi-champs en mécanique." Thesis, Ecole centrale de Marseille, 2020. http://www.theses.fr/2020ECDM0011.
Повний текст джерелаIn this work, we introduce different weak formulations based on time continuous Galerkin methods for several types of problems, governed by partial differential equations in space and time. Our approach is based on a simultaneous and arbitrary discretization of the space and time. The Isogeometric Analysis (IGA) is employed instead of the classical Finite Element Method (FEM) in order to take advantage of the continuity properties of B-splines and NURBS functions. A detailed state of the art is narrated first to introduce the concept of both of these methods and to show the work already done in literature regarding the space-time methods on a first basis, and the IGA on a second basis. Then, the methods are applied to different types of mechanical problems. These problems are mainly engineering problems such as elastodynamics, thermomechanics, and history dependant behaviors (viscoelasticity). We compare different types of variational formulations and different discretizations. We show that in the case of problems having discontinuous solutions such as impact problems, the use of both a formulation with derived in time test functions and additional least square terms makes it possible to avoid the spurious numerical oscillations often observed for these type of problems. Furthermore, we introduce a new stabilization technique that can be used easily for non-linear problems. It is based on the consistency condition of the acceleration, so we call it Galerkin with Acceleration Consistency (GAC). The problems investigated take both linear and non-linear forms. We solve elastodynamics, thermomechanics and viscoelatic type problems at small and finite strains. Both compressible and incompressible materials are considered. The convergence of the method is numerically studied and compared with existing methods. We verify, where applicable, the conservation properties of the formulation and compare them to the conservation properties of the classical methods such as the FEM equipped with an HHT scheme for the time discretization. The numerical results show that space-time methods are more energy conserving than classical methods for the elastodynamic problems. Different convergence tests are leaded and optimal convergence rates are obtained, showing the efficiency of the method. We show furthermore that heterogeneous and asynchroneous schemes can be built in a very simple manner, opening up many possibilities while dealing with space-time methods. Finally, the performances observed on different problems and the versatility of the approach suggest that ST IGA methods have a strong potential for advanced simulations in engineering
Ladecký, Martin. "Isogeometrická analýza a její použití v mechanice kontinua." Master's thesis, Vysoké učení technické v Brně. Fakulta stavební, 2018. http://www.nusl.cz/ntk/nusl-371938.
Повний текст джерелаGdhami, Asma. "Méthodes isogéométriques pour les équations aux dérivées partielles hyperboliques." Thesis, Université Côte d'Azur (ComUE), 2018. http://www.theses.fr/2018AZUR4210/document.
Повний текст джерелаIsogeometric Analysis (IGA) is a modern strategy for numerical solution of partial differential equations, originally proposed by Thomas Hughes, Austin Cottrell and Yuri Bazilevs in 2005. This discretization technique is a generalization of classical finite element analysis (FEA), designed to integrate Computer Aided Design (CAD) and FEA, to close the gap between the geometrical description and the analysis of engineering problems. This is achieved by using B-splines or non-uniform rational B-splines (NURBS), for the description of geometries as well as for the representation of unknown solution fields.The purpose of this thesis is to study isogeometric methods in the context of hyperbolic problems usingB-splines as basis functions. We also propose a method that combines IGA with the discontinuous Galerkin(DG)method for solving hyperbolic problems. More precisely, DG methodology is adopted across the patchinterfaces, while the traditional IGA is employed within each patch. The proposed method takes advantageof both IGA and the DG method.Numerical results are presented up to polynomial order p= 4 both for a continuous and discontinuousGalerkin method. These numerical results are compared for a range of problems of increasing complexity,in 1D and 2D
Kadapa, Chennakesava. "Mixed Galerkin and least-squares formulations for isogeometric analysis." Thesis, Swansea University, 2014. https://cronfa.swan.ac.uk/Record/cronfa42221.
Повний текст джерелаЧастини книг з теми "Galerkin-isogeometric method"
Seiler, Agnes, and Bert Jüttler. "Reparameterization and Adaptive Quadrature for the Isogeometric Discontinuous Galerkin Method." In Mathematical Methods for Curves and Surfaces, 251–69. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-67885-6_14.
Повний текст джерелаCalabrò, Francesco, Gabriele Loli, Giancarlo Sangalli, and Mattia Tani. "Quadrature Rules in the Isogeometric Galerkin Method: State of the Art and an Introduction to Weighted Quadrature." In Advanced Methods for Geometric Modeling and Numerical Simulation, 43–55. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-27331-6_3.
Повний текст джерелаAmin Ghaziani, Milad, Josef Kiendl, and Laura De Lorenzis. "Isogeometric Multiscale Modeling with Galerkin and Collocation Methods." In Virtual Design and Validation, 105–20. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-38156-1_6.
Повний текст джерелаFalini, Antonella, and Tadej Kanduč. "A Study on Spline Quasi-interpolation Based Quadrature Rules for the Isogeometric Galerkin BEM." In Advanced Methods for Geometric Modeling and Numerical Simulation, 99–125. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-27331-6_6.
Повний текст джерелаMika, Michal L., René R. Hiemstra, Dominik Schillinger, and Thomas J. R. Hughes. "A Comparison of Matrix-Free Isogeometric Galerkin and Collocation Methods for Karhunen–Loève Expansion." In Current Trends and Open Problems in Computational Mechanics, 329–41. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-87312-7_32.
Повний текст джерелаТези доповідей конференцій з теми "Galerkin-isogeometric method"
Wilson, S. G., J. Kópházi, A. R. Owens, and M. D. Eaton. "Interior Penalty Schemes for Discontinuous Isogeometric Methods With an Application to Nuclear Reactor Physics." In 2018 26th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/icone26-81322.
Повний текст джерелаHeld, Susanne, Wolfgang Dornisch, and Nima Azizi. "An Isogeometric Element Formulation for Linear Two-Dimensional Elasticity Based on the Airy Equation." In VI ECCOMAS Young Investigators Conference. València: Editorial Universitat Politècnica de València, 2021. http://dx.doi.org/10.4995/yic2021.2021.12598.
Повний текст джерелаNiiranen, Jarkko, Sergei Khakalo, Viacheslav Balobanov, Josef Kiendl, Antti H. Niemi, Bahram Hosseini, and Alessandro Reali. "ISOGEOMETRIC GALERKIN METHODS FOR GRADIENT-ELASTIC BARS, BEAMS, MEMBRANES AND PLATES." In VII European Congress on Computational Methods in Applied Sciences and Engineering. Athens: Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece, 2016. http://dx.doi.org/10.7712/100016.2002.9170.
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