Energy estimates and numerical verification of the stabilized Domain Decomposition Finite Element/Finite Difference approach for time-dependent Maxwell's system
Journal article, 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

Author

Larisa Beilina

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Central European Journal of Mathematics

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

Vol. 11 4 702-733

Subject Categories

Mathematics

DOI

10.2478/s11533-013-0202-3