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Maxwell's equations for conductors with impedance boundary conditions: Discontinuous Galerkin and Reduced Basis Methods

Kristin Kirchner (Institutionen för matematiska vetenskaper, Tillämpad matematik och statistik) ; K. Urban ; O. Zeeb
Mathematical Modelling and Numerical Analysis (0764-583X). Vol. 50 (2016), 6, p. 1763-1787.
[Artikel, refereegranskad vetenskaplig]

We consider Maxwell's equations with impedance boundary conditions on a conductive polyhedron with polyhedral holes. Well-posedness of the variational formulation is proven, a hp-discontinuous Galerkin (hp-dG) approximation as well as a priori error estimates are introduced. Next, we use the frequency. as a parameter in a multi-query context. For this purpose, we derive a Reduced Basis Method (RBM) based upon the dG formulation as well as the corresponding a posteriori error bound. Numerical results indicate the efficiency and the robustness of the scheme.

Nyckelord: Maxwell's equations, impedance, conductor, discontinuous Galerkin, reduced Basis Method, partial-differential-equations, posteriori error estimation, field, integral-equation, electromagnetic scattering, local regularization, approximation, constants, Mathematics



Denna post skapades 2016-12-09. Senast ändrad 2016-12-19.
CPL Pubid: 246022

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, Tillämpad matematik och statistikInstitutionen för matematiska vetenskaper, Tillämpad matematik och statistik (GU)

Ämnesområden

Matematisk analys
Beräkningsmatematik
Signalbehandling

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