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

• Autorzy: Larisa Beilina
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Maxwell’s equation; Hybrid finite element/finite difference method; Energy estimates; Gauge condition; Stabilized finite element method

Kategorie tematyczne

• 65M06: Finite difference methods
• 65M60: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
• 65M15: Error bounds

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 4
• Strony: 702-733

Daty

wydano

2013-04-01

online

2013-01-29

Twórcy

autor

Larisa Beilina

• Chalmers University of Technology and Gothenburg University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0202-3