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The lowest-order weak Galerkin finite element method for linear elasticity problems on convex polygonal grids.
- Source :
-
Communications in Nonlinear Science & Numerical Simulation . May2024, Vol. 132, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- This paper presents the lowest-order weak Galerkin finite element method for linear elasticity problems on the convex polygonal meshes. This method uses piecewise constant vector-valued spaces on element interiors and edges. The discrete weak gradient space introduced by this paper is the matrix version of C W 0 space. The discrete weak divergence space is piecewise constant space on each element. This method is simple, efficient, stabilizer-free and symmetric positive-definite. The optimal error estimates in discrete H 1 and L 2 norms are presented. Numerical results are given to demonstrate the efficiency of algorithm and the locking-free property. • The matrix version of C W 0 element for discrete weak gradient is introduced. • The lowest-order weak Galerkin finite element space ( P 0 2 , P 0 2 , C W 0 2 , P 0 ) is adopted. • Our method is suitable for the polygonal and hybrid meshes. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FINITE element method
*ELASTICITY
*GALERKIN methods
Subjects
Details
- Language :
- English
- ISSN :
- 10075704
- Volume :
- 132
- Database :
- Academic Search Index
- Journal :
- Communications in Nonlinear Science & Numerical Simulation
- Publication Type :
- Periodical
- Accession number :
- 176034367
- Full Text :
- https://doi.org/10.1016/j.cnsns.2024.107934