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A Locking-Free Weak Galerkin Finite Element Method for Elasticity Problems in the Primal Formulation by Wang, Chunmei; Wang, Junping; Wang, Ruishu; Zhang, Ran is a scholarly article available to read on EtoBox.

What is A Locking-Free Weak Galerkin Finite Element Method for Elasticity Problems in the Primal Formulation about?

This paper presents an arbitrary order locking-free numerical scheme for linear elasticity on general polygonal/polyhedral partitions by using weak Galerkin (WG) finite element methods. Like other WG methods, the key idea for the linear elasticity is to introduce discrete weak strain and stress tensors which are defined and computed by solving inexpensive local problems on each element. Such local problems are derived from weak formulations of the corresponding differential operators through integration by parts. Locking-free error estimates of optimal order are derived in a discrete $H^1$-norm and the usual $L^2$-norm for the approximate displacement when the exact solution is smooth. Numerical results are presented to demonstrate the efficiency, accuracy, and the locking-free property of the weak Galerkin finite element method.

Author

Wang, Chunmei; Wang, Junping; Wang, Ruishu; Zhang, Ran

Published

2015

Language

EN