Convergence of explicit p1 Finite-Element Solutions to Maxwell’s Equations
Paper i proceeding, 2020

This paper is devoted to the numerical validation of an explicit finite-difference scheme for the integration in time of Maxwell’s equations in terms of the sole electric field. The space discretization is performed by the standard P1 finite element method assorted with the treatment of the time-derivative term by a technique of the mass-lumping type. The rigorous reliability analysis of this numerical model was the subject of authors’ another paper [2]. More specifically such a study applies to the particular case where the electric permittivity has a constant value outside a sub-domain, whose closure does not intersect the boundary of the domain where the problem is defined. Our numerical experiments in two-dimension space certify that the convergence results previously derived for this approach are optimal, as long as the underlying CFL condition is satisfied.

Maxwell’s equations


CFL condition

P  finite elements 1

Explicit scheme


Larisa Beilina

Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik

V. Ruas

Institut Jean Le Rond d'Alembert

Conselho Nacional de Desenvolvimento Cientifico E Tecnologico Cnpq

Springer Proceedings in Mathematics and Statistics

21941009 (ISSN) 21941017 (eISSN)

Vol. 328 91-103

Conference on Mathematical and Numerical Approaches for Multi-Wave Inverse Problems, CIRM 2019
Marseille, France,



Sannolikhetsteori och statistik

Matematisk analys



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