A Robust and Accurate Solver of Laplace's Equation with General Boundary Conditions on General Domains in the Plane

DOI10.4208/jcm.1201-m3644zbMath1274.65310OpenAlexW2115429190MaRDI QIDQ4927668

Rikard Ojala

Publication date: 20 June 2013

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

Full work available at URL: https://lup.lub.lu.se/record/2971888

zbMATH Keywords

numerical examplesmixed boundary conditionsRobin boundary conditionsintegral equation methodLaplace's equationrecursive compressed inverse preconditioning

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Preconditioners for iterative methods (65F08)

Related Items (9)

An integral equation technique for scattering problems with mixed boundary conditions ⋮ Accurate quadrature of nearly singular line integrals in two and three dimensions by singularity swapping ⋮ An accurate integral equation method for Stokes flow with piecewise smooth boundaries ⋮ Solving integral equations on piecewise smooth boundaries using the RCIP method: a tutorial ⋮ An adaptive fast multipole accelerated Poisson solver for complex geometries ⋮ On the discretization of Laplace's equation with Neumann boundary conditions on polygonal domains ⋮ On the Numerical Solution of Elliptic Partial Differential Equations on Polygonal Domains ⋮ Solving Laplace Problems with Corner Singularities via Rational Functions ⋮ Solution of Stokes flow in complex nonsmooth 2D geometries via a linear-scaling high-order adaptive integral equation scheme

Uses Software

• Algorithm 788

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