Submitted

A Staggered Discontinuous Galerkin Method for Linear Elasticity Problem on Polytopal Meshes

Long Chen, Xuehai Huang, Ruishu Wang, and Ran Zhang

Submitted

arXiv   Bibtex

ABSTRACT:

This paper develops a novel staggered discontinuous Galerkin
(SDG) method for linear elasticity based on the Hellinger-Reissner
variational principle. We construct symmetric stress spaces with
normal continuity across element boundaries on arbitrary polytopal
meshes, while approximating the displacement field using piecewise
polynomial functions defined on the same meshes. The method is
locking-free and satisfies a local balance of linear momentum and
angular momentum. We present a comprehensive theoretical analysis,
including proofs of stability and error estimates. The formulation
admits a hybridizable structure, which significantly simplifies the
numerical implementation. Numerical experiments validate the
theoretical results and demonstrate the effectiveness of the proposed
approach.