Coupled boundary and volume integral equations for electromagnetic scattering
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Date
2025-06
Publication Type
Journal Article
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yes
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Abstract
We study frequency domain electromagnetic scattering at a bounded, penetrable, and inhomogeneous obstacle Ω⊂R3. From the Stratton-Chu integral representation, we derive a new representation formula when constant reference coefficients are given for the interior domain. The resulting integral representation contains the usual layer potentials, but also volume potentials on Ω. Then it is possible to follow a single-trace approach to obtain boundary integral equations perturbed by traces of compact volume integral operators with weakly singular kernels. The coupled boundary and volume integral equations are discretized with a Galerkin approach with usual Curl-conforming and Div-conforming finite elements on the boundary and in the volume. Compression techniques and special quadrature rules for singular integrands are required for an efficient and accurate method. Numerical experiments provide evidence that our new formulation enjoys promising properties.
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published
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Volume
461
Pages / Article No.
116443
Publisher
Elsevier
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Subject
Volume integral equations; Boundary integral equations; Electromagnetic scattering
Organisational unit
03632 - Hiptmair, Ralf / Hiptmair, Ralf
Notes
Funding
184848 - Novel Boundary Element Methods for Electromagnetics (SNF)
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