一言以蔽之，有限元方法（finite element method）中的Galerkin 方法（Galerkin Method）可以看作基于变分...
A new weak Galerkin (WG) finite element method is introduced and analyzed in this article for the biharmonic equation in its primary form. This method is highly robust and flexible in the element construction by using discontinuous piecewise polynomials on general finite element partitions consisting ...
A weak-Galerkin finite element method is used to determine approximate solutions of an elliptic variational inequality. Three sets of basis functions are employed: the first has constant values inside each element and on each edge; the second has constant values inside each element but is a linear...
A new weak Galerkin finite element method is introduced and analyzed for the Reissner–Mindlin plate model in the primary form (without introducing shear strain as an extra unknown), which results in a linear system with symmetric positive definite stiffness matrix. The proposed method achieves unifo...
A stabilizer-free weak Galerkin mixed finite element method for the biharmonic equation In this paper, we present and study a stabilizer-free weak Galerkin (SFWG) finite element method for the Ciarlet-Raviart mixed form of the biharmonic equat... S Gu,F Huo,S Liu - 《Computers & Mathematics...
The numerical integration of Galerkin weak forms for meshfree methods is investigated and some improvements are presented. The character of the shape functions in meshfree methods is reviewed and compared to those used in the Finite Element Method (FEM). Emphasis is placed on the relationship between...
Galerkin methods differential equations finite element method finite element theory maximum parabolic partial Search within this book Search Table of contents (20 chapters) Front Matter Pages I-XII Download chapter PDF The Standard Galerkin Method Vidar Thomée Pages 1-24 Methods Based ...
A HYBRIDIZED WEAK GALERKIN FINITE ELEMENT METHOD FOR THE BIHARMONIC EQUATION This paper presents a hybridized formulation for t Wang,Junping,Chunmei - 《International Journal of Numerical Analysis & Modeling》 被引量: 20发表: 2015年 A hybridized weak Galerkin finite element scheme for the Stokes equa...
We solved time-dependent Brinkman equation by the weak Galerkin finite element method.Corresponding error equations and error estimates were established by using semi-discrete scheme only for the discrete space and full-discrete scheme for the time and space discretization.We obtained the optimal rate ...
In this paper we propose a locally conservative Galerkin (LCG) finite element method for two-phase flow simulations in heterogeneous porous media. The main idea of the method is to use the property of local conservation at steady state conditions in order to define a numerical flux at element ...