Electrostatic force computation with boundary element methods

DOI10.5802/smai-jcm.79zbMath1490.65300OpenAlexW4226142268MaRDI QIDQ2137890

Ralf Hiptmair, Piyush Panchal

Publication date: 11 May 2022

Published in: SMAI Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/smai-jcm.79

zbMATH Keywords

boundary element methodboundary integral equationselectrostaticsshape derivativeelectromagnetic forces

Mathematics Subject Classification ID

Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Boundary element methods for boundary value problems involving PDEs (65N38) Linear integral equations (45A05)

Related Items (1)

Force computation for dielectrics using shape calculus

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Shape derivatives in differential forms. I: An intrinsic perspective
• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• Improved extrapolation technique in the boundary element method to find the capacitances of the unit square and cube
• Boundary elements with mesh refinements for the wave equation
• Computation of electromagnetic force densities: Maxwell stress tensor vs. virtual work principle
• Integral equations. Theory and numerical treatment
• Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra
• Comparison of approximate shape gradients
• The \(hp\)-version of the boundary element method on polygons
• Shapes and Geometries
• An optimal control approach to a posteriori error estimation in finite element methods
• Numerical Approximation Methods for Elliptic Boundary Value Problems
• Optimization with PDE Constraints
• The eggshell approach for the computation of electromagnetic forces in 2D and 3D
• On Discrete Shape Gradients of Boundary Type for PDE-constrained Shape Optimization
• The Energy Viewpoint in Computational Electromagnetics
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

This page was built for publication: Electrostatic force computation with boundary element methods