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

Larisa Beilina (Institutionen för matematiska vetenskaper, matematik)
Central European Journal of Mathematics (1895-1074). Vol. 11 (2013), 4, p. 702-733.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Maxwell's equation, Hybrid finite element/finite difference method, Energy estimates, Gauge, equations, boundary



Denna post skapades 2013-03-19.
CPL Pubid: 174797

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematik

Chalmers infrastruktur