Energy estimates and numerical verification of the stabilized Domain Decomposition Finite Element/Finite Difference approach for time-dependent Maxwell's system
Artikel i vetenskaplig tidskrift, 2013

We rigorously derive energy estimates for the second order vector wave equation with gauge condition for the electric field with non-constant electric permittivity function. This equation is used in the stabilized Domain Decomposition Finite Element/Finite Difference approach for time-dependent Maxwell's system. Our numerical experiments illustrate efficiency of the modified hybrid scheme in two and three space dimensions when the method is applied for generation of backscattering data in the reconstruction of the electric permittivity function.

Energy estimates

Hybrid finite element/finite difference method

boundary

equations

Gauge

Maxwell's equation

Författare

Larisa Beilina

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Central European Journal of Mathematics

1895-1074 (ISSN) 1644-3616 (eISSN)

Vol. 11 702-733

Ämneskategorier

Matematik

DOI

10.2478/s11533-013-0202-3