Exploiting Symmetry in Boundary Element Methods

DOI10.1137/0729034zbMath0754.65089OpenAlexW2041872092MaRDI QIDQ4009449

Kurt Georg, Rick Miranda, Klaus Böhmer, Eugene L. Allgower

Publication date: 27 September 1992

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6daee256f02c08beaa3ff6acf429db34eab8fb52

zbMATH Keywords

computational complexityboundary element methodisometry groupcollocation methodssymmetry groupsequivariant operatorslinear equation solvers

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Discrete potential theory (31C20) Boundary element methods for boundary value problems involving PDEs (65N38) Symmetric groups (20B30)

Related Items (12)

Perturbation analysis for some linear boundary integral operators ⋮ Sparse generalized Fourier transforms ⋮ On symmetry and non-uniqueness in exact topology optimization ⋮ Groups and Symmetries in Numerical Linear Algebra ⋮ An abstract theory for the domain reduction method ⋮ Restriction matrices for numerically exploiting symmetry ⋮ A Numerical Liapunov-Schmidt Method with Applications to Hopf Bifurcation on a Square ⋮ Applications of the generalized Fourier transform in numerical linear algebra ⋮ Restriction matrices in space-time energetic BEM ⋮ Topics in structure-preserving discretization ⋮ Restrictions matrices for Platonic solids invariance and applications to space-time energetic BEM ⋮ On a numerical Lyapunov-Schmidt method for operator equations

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