References & Citations
Mathematics > Numerical Analysis
Title: A locking-free mixed enriched Galerkin method of arbitrary order for linear elasticity using the stress-displacement formulation
(Submitted on 29 Apr 2023 (v1), last revised 10 Nov 2023 (this version, v2))
Abstract: In this paper, we develop an arbitrary-order locking-free enriched Galerkin method for the linear elasticity problem using the stress-displacement formulation in both two and three dimensions. The method is based on the mixed discontinuous Galerkin method in [30], but with a different stress approximation space that enriches the arbitrary order continuous Galerkin space with some piecewise symmetric-matrix valued polynomials. We prove that the method is well-posed and provide a parameter-robust error estimate, which confirms the locking-free property of the EG method. We present some numerical examples in two and three dimensions to demonstrate the effectiveness of the proposed method.
Submission history
From: Hui Peng [view email][v1] Sat, 29 Apr 2023 02:05:47 GMT (361kb)
[v2] Fri, 10 Nov 2023 05:59:08 GMT (0kb,I)
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