Convergence of stabilized p1 finite element scheme for time harmonic maxwell’s equations
Paper in proceedings, 2020

The paper considers the convergence study of the stabilized P1 finite element method for the time harmonic Maxwell’s equations. The model problem is for the particular case of the dielectric permittivity function which is assumed to be constant in a boundary neighborhood. For the stabilized model a coercivity relation is derived that guarantee’s the existence of a unique solution for the discrete problem. The convergence is addressed both in a priori and a posteriori settings. Our numerical examples validate obtained convergence results.

Convergence

Time harmonic Maxwell’s equations

A posteriori estimate

P finite elements 1

A priori estimate

Author

Mohammad Asadzadeh

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

Larisa Beilina

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

Springer Proceedings in Mathematics and Statistics

21941009 (ISSN) 21941017 (eISSN)

Vol. 328 33-43

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

Subject Categories

Computational Mathematics

Control Engineering

Mathematical Analysis

DOI

10.1007/978-3-030-48634-1_4

More information

Latest update

9/1/2020 2