An \(hp\)-adaptive finite element/boundary element coupling method for electromagnetic problems

DOI10.1007/s00466-006-0110-5zbMath1166.78007OpenAlexW1988701755MaRDI QIDQ1015581

Matthias Maischak, Florian Leydecker, Ernst Peter Stephan

Publication date: 8 May 2009

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-006-0110-5

zbMATH Keywords

adaptive algorithm\(hp\)-versionelectromagnetic problemsFEM/BEM couplingResidual error estimator

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10)

Related Items (8)

ACA accelerated high order BEM for Maxwell problems ⋮ Analysis of a kinematic dynamo model with FEM-BEM coupling ⋮ Ap-hierarchical error estimator for a fe–be coupling formulation applied to electromagnetic scattering problems in ℝ³ ⋮ Stabilization in 3‐D FEM and solution of the MHD equations ⋮ An adaptive approach to solutions of Fredholm integral equations of the second kind ⋮ The hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces: A priori error analysis ⋮ A FE/BE coupling for the 3D time-dependent eddy current problem. I: A priori error estimates ⋮ Adaptive FE-BE coupling for an electromagnetic problem in ℝ3-A residual error estimator

Uses Software

• maiprogs

Cites Work

• Unnamed Item
• Unnamed Item
• Mixed finite elements in \(\mathbb{R}^3\)
• de Rham diagram for \(hp\) finite element spaces
• \(H^1\), \(H\)(curl) and \(H\)(div)-conforming projection-based interpolation in three dimensions: Quasi-optimal \(p\)-interpolation estimates
• A posteriori error estimates for FEM-BEM couplings of three-dimensional electromagnetic problems
• On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra
• Polynomial Liftings on a Tetrahedron and Applications to the h-p Version of the Finite Element Method in Three Dimensions
• Finite elements in computational electromagnetism
• A boundary element method for an exterior problem for three-dimensional maxwell’s equations
• A p‐adaptive algorithm for the BEM with the hypersingular operator on the plane screen
• p Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions
• Anhp-adaptive refinement strategy for hypersingular operators on surfaces
• Symmetric Coupling for Eddy Current Problems

This page was built for publication: An \(hp\)-adaptive finite element/boundary element coupling method for electromagnetic problems