نتایج جستجو برای: weak form galerkin method

تعداد نتایج: 2318582  

Journal: :Journal of Computational and Applied Mathematics 2016

Journal: :Journal of Computational and Applied Mathematics 2023

This article introduces a weak Galerkin (WG) finite element method for linear elasticity interface problems on general polygonal/polyhedral partitions. The discrete divergence and gradient operators are discretized as polynomials computed by solving inexpensive local each element. developed WG has been proved to be stable accurate with optimal order error estimates in the H1 norm. Some numerica...

Journal: :Communications in Computational Physics 2018

Journal: :Computers & Mathematics with Applications 2018

Journal: :Communications in Computational Physics 2019

2013
Krzysztof J. Fidkowski

2 Discretization 9 2.1 The Discontinuous Galerkin Method . . . . . . . . . . . . . . . . . . . . . 9 2.1.1 Conservation Equations . . . . . . . . . . . . . . . . . . . . . . . . 9 2.1.2 Solution Approximation . . . . . . . . . . . . . . . . . . . . . . . . 9 2.1.3 Weak Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.1.4 Discrete System . . . . . . . . . . . . . . . . . ....

2005
Bo Li

(1) A one-dimensional minimization problem and the Ritz method. (2) Weak formulation and the Galerkin method. Abstract error estimates. (3) The lemma of variations. Euler-Lagrange equations. Weak formulation, again. (4) The Ritz-Galerkin finite element method: philosophy. (5) The piecewise linear finite element space and basis functions. The linear system. (6) The piecewise linear finite elemen...

Journal: :J. Comput. Physics 2006
Christiaan M. Klaij Jaap J. W. van der Vegt Harmen van der Ven

A space-time discontinuous Galerkin finite element method for the compressible Navier-Stokes equations is presented. We explain the space-time setting, derive the weak formulation and discuss our choices for the numerical fluxes. The resulting numerical method allows local grid adaptation as well as moving and deforming boundaries, which we illustrate by computing the flow around a 3D delta win...

2009
Xiaolin Li Jialin Zhu

In this paper, a Galerkin boundary node method (GBNM) is developed for boundary-only analysis of 2D problems in linear elasticity. The GBNM combines the variational form of a boundary integral formulation for the elastic equations with the moving least-squares approximations for generating the trial and test functions. Unlike the boundary node method, the main idea here is to use the Galerkin s...

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