Locking-free adaptive discontinuous Galerkin FEM for linear elasticity problems

2006/01/20 by Thomas Wihler, Thomas P. Wihler · 2 citations
Engineering · Computer Science · #Advanced Numerical Methods in Computational Mathematics #Advanced Mathematical Modeling in Engineering #Computational Fluid Dynamics and Aerodynamics

paper · pdf · doi:10.1090/s0025-5718-06-01815-1

Abstract

An adaptive discontinuous Galerkin finite element method for linear elasticity problems is presented. We develop an a posteriori error estimate and prove its robustness with respect to nearly incompressible materials (absence of volume locking). Furthermore, we present some numerical experiments which illustrate the performance of the scheme on adaptively refined meshes.

Cited by

• A Locking-Free Weak Galerkin Finite Element Method for Elasticity Problems in the Primal Formulation
• Approximation Capabilities of Immersed Finite Element Spaces for Elasticity Interface Problems

Related

• An hp-adaptive discontinuous Galerkin discretization of a static anti-plane shear crack model
• A Locking-Free Weak Galerkin Finite Element Method for Linear Elasticity Problems
• A locking-free discontinuous Galerkin method for linear elastic Steklov eigenvalue problem
• A subspace correction method for discontinuous Galerkin discretizations of linear elasticity equations
• A novel parameter-free and locking-free enriched Galerkin method for linear elasticity