Virtual element method for two-dimensional linear elasticity problem in mixed weakly symmetric formulation

Baiju Zhang and Minfu Feng

Applied Mathematics and Computation, 2018, vol. 328, issue C, 1-25

Abstract: We propose and analyze a virtual element method for two-dimensional linear elasticity problem in mixed weakly symmetric formulation, that is to say, stresses are not require to be symmetric, but only to satisfy a weaker condition based on Lagrange multipliers. The proposed method is well-posed, and the error bounds are shown to be uniform with the incompressibility parameter λ. Numerical tests confirm the convergence rate that is expected from the theory.

Keywords: Virtual elements; Linear elasticity problems; Weakly symmetric formulation (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:328:y:2018:i:c:p:1-25

DOI: 10.1016/j.amc.2018.01.023

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