Work

A Hu–Washizu variational approach to self-stabilized virtual elements: 2D linear elastostatics

Year: 2023

Type: article

Abstract: An original, variational formulation of the Virtual Element Method (VEM) is proposed, based on a Hu–Washizu mixed variational statement for 2D linear elastostatics. The proposed variational framework appears to be ideal for the formulation of VEs, whereby compatibility is enforced in a weak sense and the strain model can be prescribed a priori, independently of the unknown displacement model. It is shown how the ensuing freedom in the definition of the strain model can be conveniently exploited for the formulation of self-stabilized and possibly locking-free low order VEs. The superior performances of the VEs formulated within this framework has been verified by application to several numerical tests.

Source: Computational Mechanics

DOI: 10.1007/s00466-023-02282-2

Authors: Andrea Lamperti, Massimiliano Cremonesi, Umberto Perego, Alessandro Russo, Carlo Lovadina

Institutions: ETH Zurich, Politecnico di Milano, Istituto di Matematica Applicata e Tecnologie Informatiche, University of Milano-Bicocca, University of Milan

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,590

Funder: Ministero dell’Istruzione, dell’Università e della Ricerca