Maxwell's equations for conductors with impedance boundary conditions: Discontinuous Galerkin and Reduced Basis Methods
Artikel i vetenskaplig tidskrift, 2016

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.

Mathematics

Maxwell's equations

electromagnetic scattering

conductor

reduced Basis Method

constants

posteriori error estimation

local regularization

impedance

partial-differential-equations

field

integral-equation

approximation

discontinuous Galerkin

Författare

Kristin Kirchner

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik

K. Urban

Universitat Ulm

O. Zeeb

Universitat Ulm

Mathematical Modelling and Numerical Analysis

0764-583X (ISSN) 1290-3841 (eISSN)

Vol. 50 1763-1787

Ämneskategorier

Beräkningsmatematik

Signalbehandling

Matematisk analys

DOI

10.1051/m2an/2016006