Stability and Convergence Analysis of a Domain Decomposition FE/FD Method for Maxwell’s Equations in the Time Domain
Journal article, 2022

Stability and convergence analyses for the domain decomposition finite element/finite difference (FE/FD) method are presented. The analyses are developed for a semi-discrete finite element scheme for time-dependent Maxwell’s equations. The explicit finite element schemes in different settings of the spatial domain are constructed and a domain decomposition algorithm is formulated. Several numerical examples validate convergence rates obtained in the theoretical studies.

Maxwell’s equations

stability analysis

convergence analysis

finite difference method

domain decomposition

finite element method

Author

Mohammad Asadzadeh

Chalmers, Mathematical Sciences

Larisa Beilina

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

Algorithms

19994893 (eISSN)

Vol. 15 10 337-356

Subject Categories

Computational Mathematics

DOI

10.3390/a15100337

More information

Latest update

10/26/2023