Work

Error estimates for a helicity-preserving finite element discretisation of an incompressible magnetohydrodynamics system

Year: 2025

Type: article

Abstract: We derive error estimates of a finite element method for the approximation of solutions to a seven-fields formulation of a magnetohydrodynamics model, which preserves the energy of the system, and the magnetic and cross helicities on the discrete level.

Source: ESAIM Mathematical Modelling and Numerical Analysis

DOI: 10.1051/m2an/2025015

Authors: Lourenço Beirão da Veiga, Kaibo Hu, Lorenzo Mascotto

Institutions: Istituto di Matematica Applicata e Tecnologie Informatiche, University of Milano-Bicocca, Maxwell Institute for Mathematical Sciences

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: