2 papers
math.NA2026
A Virtual Element Method for elliptic problems on trimmed background meshes
L. Beirão da Veiga, C. Canuto, R. H. Nochetto +2
We consider a two-dimensional piecewise domain that cuts through a quasi-uniform fixed polygonal background mesh, for instance made of quadrilaterals. A simple procedure base…
math.NA2026
Conforming/Non-conforming Virtual Elements and application to elasticity problems in curved three-dimensional domains
L. Beirão da Veiga, F. Dassi, A. Russo +1
The Virtual Element Method (VEM) is a well-established framework for solving partial differential equations on polygonal and polyhedral meshes. In this paper, we introduce a novel…