Work

A nonconforming virtual element method for advection–diffusion–reaction problems with CIP stabilization

Year: 2025

Type: article

Abstract: We study a nonconforming virtual element method (VEM) for advection–diffusion–reaction problems with continuous interior penalty (CIP) stabilization. The design of the method is based on a standard variational formulation of the problem (no skew-symmetrization), and boundary conditions are imposed with a Nitsche technique. We use the enhanced version of VEM, with a “dofi-dofi” stabilization in the diffusion and reaction terms. We prove stability of the proposed method and derive h-version error estimates.

Source: ESAIM Mathematical Modelling and Numerical Analysis

DOI: 10.1051/m2an/2025023

Authors: Carlo Lovadina, Ilaria Perugia, Manuel Trezzi

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

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: