Stability and Convergence Analysis of a Domain Decomposition FE/FD Method for Maxwell’s Equations in the Time Domain
Artikel i vetenskaplig tidskrift, 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
Författare
Mohammad Asadzadeh
Chalmers, Matematiska vetenskaper
Larisa Beilina
Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik
Algorithms
19994893 (eISSN)
Vol. 15 10 337-356Ämneskategorier
Beräkningsmatematik
DOI
10.3390/a15100337