Laplace's equation and the Dirichlet-Neumann map: a new mode for Mikhlin's method
type: Item
instance of: scholarly article
title: Laplace's equation and the Dirichlet-Neumann map: a new mode for Mikhlin's method
zbMATH Open document ID: 1063.65130
author: Johan Helsing
author: Eddie Wadbro
published in: Journal of Computational Physics
publication date: 2005-01-11T00:00:00Z
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65Y20
zbMATH DE Number: 2126428
zbMATH Keywords: Laplace's equation
zbMATH Keywords: Exterior problem
zbMATH Keywords: Multiply connected domains
zbMATH Keywords: Integral equations
zbMATH Keywords: Fast solvers
zbMATH Keywords: Dirichlet-Neumann map
zbMATH Keywords: Numerical examples
zbMATH Keywords: Mikhlin's method
zbMATH Keywords: computational complexity
describes a project that uses: FMM Toolbox
MaRDI profile type: Publication
full work available at URL: j.jcp.2004.06.024
OpenAlex ID: W2086261919
cites work: Large-scale simulations of microstructural evolution in elastically stressed solids.
cites work: A fast solver for the Stokes equations with distributed forces in complex geometries.
cites work: A Fast Adaptive Multipole Algorithm for Particle Simulations
cites work: Laplace's equation and the Dirichlet-Neumann map in multiply connected domains
cites work: Integral equation methods for Stokes flow in doubly-periodic domains
cites work: Integral equation methods for Stokes flow and isotropic elasticity in the plane
cites work: A fast algorithm for particle simulations
cites work: Thin bridges in isotropic electrostatics
cites work: On the Interior Stress Problem for Elastic Bodies
cites work: Stress calculations on multiply connected domains
cites work: On Deriving the Inverse of a Sum of Matrices
cites work: Boundary integral methods for multicomponent fluids and multiphase materials.
cites work: Second kind integral equations for the classical potential theory on open surfaces I: Analytical apparatus.
cites work: Second kind integral equations for the classical potential theory on open surfaces. II.
cites work: Microstructural evolution in inhomogeneous elastic media
cites work: A boundary integral method for the simulation for two-dimensional particle coarsening
cites work: Q5727852
cites work: Q5822969
cites work: Preconditioned, Adaptive, Multipole-Accelerated Iterative Methods for Three-Dimensional First-Kind Integral Equations of Potential Theory
cites work: The completed double layer boundary integral equation method for two-dimensional Stokes flow
cites work: Rapid solution of integral equations of classical potential theory
cites work: A cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow.
cites work: GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
cites work: Second-kind integral formulations of the capacitance problem
DOI: 10.1016/J.JCP.2004.06.024
description: scientific article; zbMATH DE number 2126428