In the framework of 2D elasticity problems, a family of Virtual Element schemes based on the Hellinger-Reissner variational principle is presented. A convergence and stability analysis is rigorously developed. Numerical tests confirming the theoretical predictions are performed.

A family of virtual element methods for plane elasticity problems based on the Hellinger-Reissner principle

C Lovadina;
2018

Abstract

In the framework of 2D elasticity problems, a family of Virtual Element schemes based on the Hellinger-Reissner variational principle is presented. A convergence and stability analysis is rigorously developed. Numerical tests confirming the theoretical predictions are performed.
2018
Istituto di Matematica Applicata e Tecnologie Informatiche - IMATI -
Hellinger-Reissner formulation
Plane elasticity problem
Stability and convergence analysis
Virtual element method
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Descrizione: A family of virtual element methods for plane elasticity problems based on the Hellinger-Reissner principle
Tipologia: Versione Editoriale (PDF)
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Formato Adobe PDF
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/346529
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