A priori error analysis of the BEM with graded meshes for the electric field integral equation on polyhedral surfaces
DOI10.1016/j.camwa.2016.03.013zbMath1443.65399OpenAlexW2321515752MaRDI QIDQ2007208
Alexei Bespalov, Serge Nicaise
Publication date: 12 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2016.03.013
boundary element methodelectromagnetic scatteringanisotropic elementsa priori error analysisgraded meshelectric field integral equation
Error bounds for boundary value problems involving PDEs (65N15) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Boundary element methods for boundary value problems involving PDEs (65N38)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The BEM with graded meshes for the electric field integral equation on polyhedral surfaces
- The hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces: A priori error analysis
- The electric field integral equation on Lipschitz screens: definitions and numerical approximation
- Boundary element methods for Maxwell transmission problems in Lipschitz domains
- On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.
- Boundary element methods for Maxwell's equations on non-smooth domains
- Singularities of electromagnetic fields in polyhedral domains
- On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra
- A newH(div)-conformingp-interpolation operator in two dimensions
- Convergence of the Natural $hp$-BEM for the Electric Field Integral Equation on Polyhedral Surfaces
- Natural hp-BEM for the electric field integral equation with singular solutions
- Regularity of mixed boundary value problems in ℝ3 and boundary element methods on graded meshes
- Natural p-BEM for the electric field integral equation on screens
- Mixed and Hybrid Finite Element Methods
- The Maximum Angle Condition for Mixed and Nonconforming Elements: Application to the Stokes Equations
- Natural Boundary Element Methods for the Electric Field Integral Equation on Polyhedra
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
This page was built for publication: A priori error analysis of the BEM with graded meshes for the electric field integral equation on polyhedral surfaces