Fast wavelet BEM for 3d electromagnetic shaping

DOI10.1016/j.apnum.2004.09.018zbMath1114.78017OpenAlexW2017005368MaRDI QIDQ2486146

Karsten Eppler, Helmut Harbrecht

Publication date: 5 August 2005

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2004.09.018

zbMATH Keywords

waveletsboundary element methodsShape optimization

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Optimization of shapes other than minimal surfaces (49Q10) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (9)

Boundary element based multiresolution shape optimisation in electrostatics ⋮ Maximizing the electromagnetic chirality of thin metallic nanowires at optical frequencies ⋮ Development and implementation of some BEM variants - A critical review ⋮ Wavelet-based boundary element methods for exterior electromagnetic shaping ⋮ Combined single domain and subdomain BEM for 3D laminar viscous flow ⋮ Efficient Solution of Two-Dimensional Wave Propagation Problems by CQ-Wavelet BEM: Algorithm and Applications ⋮ Velocity-vorticity formulation for 3D natural convection in an inclined enclosure by BEM ⋮ A new fictitious domain method in shape optimization ⋮ Coupling of FEM and BEM in shape optimization

Cites Work

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• On the fast matrix multiplication in the boundary element method by panel clustering
• Numerical simulation of tridimensional electromagnetic shaping of liquid metals
• Adaptive low-rank approximation of collocation matrices
• Theoretical and numerical study of a free boundary problem by boundary integral methods
• Biorthogonal wavelet bases for the boundary element method
• About existence of equilibria in electromagnetic casting
• Numerical Approximation of a Free Boundary Problem Arising in Electromagnetic Shaping
• Exterior electromagnetic shaping using wavelet BEM
• Numerical Solution of Elliptic Shape Optimization Problems using wavelet-based BEM
• Wavelet Galerkin Schemes for Boundary Integral Equations---Implementation and Quadrature
• Compression Techniques for Boundary Integral Equations---Asymptotically Optimal Complexity Estimates
• A fast algorithm for particle simulations

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