Direct integration of the Newton potential over cubes

DOI10.1007/s00607-001-1443-8zbMath1009.65070OpenAlexW1978248857MaRDI QIDQ1614977

Wolfgang Hackbusch

Publication date: 10 September 2002

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-001-1443-8

zbMATH Keywords

Galerkin methodLaplace equationintegral equation methodCoulomb potentialNewton potentialdirect integration

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (9)

Analysis of the operator \(\Delta^{-1}\text{div}\) arising in magnetic models ⋮ Analytic integration of the Newton potential over cuboids and an application to fast multipole methods ⋮ Tensor structured evaluation of singular volume integrals ⋮ Efficient convolution with the Newton potential in \(d\) dimensions ⋮ Hierarchical quadrature for multidimensional singular integrals ⋮ Applications of \(\mathcal H\)-matrix techniques in micromagnetics ⋮ Effective simulation of a macroscopic model for stationary micromagnetics ⋮ On the efficient convolution with the Newton potential ⋮ On stabilized models in micromagnetics

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