A first-order stabilization-free Virtual Element Method

2023/02/01 by Stefano Berrone, Andrea Borio, Berrone, Stefano +5 · 2 citations
Engineering · Mathematics · #65N12 #65N30 #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.2302.00621

openalex publication_date 2023/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce a new Virtual Element Method (VEM) not requiring any stabilization term based on the usual enhanced first-order VEM space. The new method relies on a modified formulation of the discrete diffusion operator that ensures stability preserving all the properties of the differential operator.

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• Stabilization-free virtual element method for 2D third medium contact
• Virtual element method for thermomechanical analysis of electronic packaging structures with multi-scale features

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