The double-layer potential operator over polyhedral domains II: Spline Galerkin methods

DOI10.1002/mma.1670150104zbMath0770.65099OpenAlexW2080086345MaRDI QIDQ3989399

Johannes Elschner

Publication date: 28 June 1992

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670150104

zbMATH Keywords

stabilityGalerkin methodFredholm integral equationsplinetriangulationsharmonic functionspolyhedral surfacequasi-optimal error estimatesdouble-layer potential operator

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items

On quadrature methods for the double layer potential equation over the boundary of a polyhedron ⋮ A Chebyshev-based rectangular-polar integral solver for scattering by geometries described by non-overlapping patches ⋮ Approximate moment matrix decomposition in wavelet Galerkin BEM ⋮ Dirichlet problems in polyhedral domains. II: Approximation by FEM and BEM ⋮ Finite Section Method for the Double Layer Potential Operator over Polyhedral Boundaries ⋮ Spline approximation methods for multidimensional periodic pseudodifferential equations ⋮ BEM with linear complexity for the classical boundary integral operators ⋮ An integral equation formulation of the N-body dielectric spheres problem. Part I: numerical analysis ⋮ Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains

Cites Work

• Error Analysis of a Boundary Element Collocation Method for a Screen Problem in ℝ 3 .
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