Rapid parallel evaluation of integrals in potential theory on general three-dimensional regions

DOI10.1006/jcph.1998.6048zbMath0911.65016OpenAlexW1965399207MaRDI QIDQ1268370

Anita Mayo, Anne Greenbaum

Publication date: 8 December 1998

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1998.6048

zbMATH Keywords

singularitiesPoisson's equationLaplace equationparallelizationsurface integralsvolume integralsfast Poisson solvers

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Numerical quadrature and cubature formulas (65D32)

Related Items (6)

Fourth order accurate evaluation of integrals in potential theory on exterior 3D regions ⋮ A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems ⋮ A fourth-order kernel-free boundary integral method for implicitly defined surfaces in three space dimensions ⋮ A fast solver for the Stokes equations with distributed forces in complex geometries. ⋮ A spectral-element method for particulate Stokes flow ⋮ A boundary condition capturing method for Poisson's equation on irregular domains

Cites Work

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• Rapid solution of integral equations of classical potential theory
• QMR: A quasi-minimal residual method for non-Hermitian linear systems
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• A fast Poisson solver for complex geometries
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Fast Parallel Iterative Solution of Poisson’s and the Biharmonic Equations on Irregular Regions
• A DECOMPOSITION FINITE DIFFERENCE METHOD FOR THE FOURTH ORDER ACCURATE SOLUTION OF POISSON'S EQUATION ON GENERAL REGIONS
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• The Fast Solution of Poisson’s and the Biharmonic Equations on Irregular Regions

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