Conjugate gradient methods for the solution of boundary integral equations on a piecewise smooth boundary

DOI10.1016/0021-9991(91)90042-JzbMath0744.65071MaRDI QIDQ1181932

Ke Chen

Publication date: 27 June 1992

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

zbMATH Keywords

convergenceboundary integral equationsHelmholtz equationboundary element methodspreconditioned conjugate gradient methodsintensive solvers

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38)

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Cites Work

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• On the condition number of boundary integral operators for the exterior Dirichlet problem for the Helmholtz equation
• Multigrid methods for boundary integral equations
• On the numerical treatment of viscous flows against bodies with corners and edges by boundary element and multigrid methods
• Smoothness results of single and double layer solutions of the Helmholtz equations
• A limited survey of various conjugate gradient methods for solving complex matrix equations arising in electromagnetic wave interactions
• Iterative solution methods for certain sparse linear systems with a non- symmetric matrix arising from PDE-problems
• Boundary-distribution solution of the Helmholtz equation for a region with corners
• Application of multigrid methods for integral equations to two problems from fluid dynamics
• Iterative variants of the Nystrom method for the numerical solution of integral equations
• Analytical Behaviour of Solutions of Boundary Integral Equations for a Nonsmooth Region
• Product Integration-Collocation Methods for Noncompact Integral Operator Equations
• Multiple Grid Methods for the Solution of Fredholm Integral Equations of the Second Kind
• Influence of the Eigenvalue Spectrum on the Convergence Rate of the Conjugate Gradient Method
• The solution of sparse linear equations by the conjugate gradient method
• The Numerical Solution of Laplace's Equation on a Wedge
• Boundary Integral Equations for the Three-Dimensional Helmholtz Equation

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