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arxiv: 1702.01702 · v1 · pith:DCEEQ5YBnew · submitted 2017-02-06 · 🧮 math.NA

A Stress/Displacement Virtual Element Method for Plane Elasticity Problems

classification 🧮 math.NA
keywords elasticityelementmethodnumericalproblemsvirtuala-priorialong
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The numerical approximation of 2D elasticity problems is considered, in the framework of the small strain theory and in connection with the mixed Hellinger-Reissner variational formulation. A low-order Virtual Element Method (VEM) with a-priori symmetric stresses is proposed. Several numerical tests are provided, along with a rigorous stability and convergence analysis.

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