Preconditioning the EFIE on screens

DOI10.1142/S0218202520500347zbMath1451.78044OpenAlexW3084002314MaRDI QIDQ3386874

Ralf Hiptmair, Carolina Urzúa-Torres

Publication date: 7 January 2021

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202520500347

zbMATH Keywords

screenselectric field integral equationoperator preconditioning

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (1)

Bi-parametric operator preconditioning

Uses Software

• Gmsh
• BETL
• AHMED

Cites Work

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• Integral equations for electromagnetic scattering at multi-screens
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• Boundary element methods for Maxwell's equations on non-smooth domains
• Compact equivalent inverse of the electric field integral operator on screens
• Operator preconditioning
• On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra
• Convergence of the Natural $hp$-BEM for the Electric Field Integral Equation on Polyhedral Surfaces
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• A Note on the Superlinear Convergence of GMRES
• Natural Boundary Element Methods for the Electric Field Integral Equation on Polyhedra
• Uniform preconditioners for problems of negative order
• A Multiplicative Calderon Preconditioner for the Electric Field Integral Equation
• Finite Elements
• A dual finite element complex on the barycentric refinement

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