High accuracy eigensolution and its extrapolation for potential equations

DOI10.1007/s10483-010-1381-xzbMath1207.65133OpenAlexW1982700736MaRDI QIDQ616020

Guang Zeng, Jin Huang, Pan Cheng

Publication date: 7 January 2011

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-010-1381-x

zbMATH Keywords

convergenceefficiencyquadrature formulasLaplace equationboundary integral equationslogarithmic singularityRichardson extrapolationtrapezoidal ruleAsymptotic expansion, algorithm

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical quadrature and cubature formulas (65D32) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items

Nyström methods and extrapolation for solving Steklov eigensolutions and its application in elasticity ⋮ Analytical and numerical studies for solving Steklov eigenproblems by using the boundary integral equation method/boundary element method ⋮ Splitting extrapolation algorithms for solving the boundary integral equations of Steklov problems on polygons by mechanical quadrature methods ⋮ Mechanical quadrature methods and extrapolation algorithms for boundary integral equations with linear boundary conditions in elasticity ⋮ Extrapolation algorithms for solving nonlinear boundary integral equations by mechanical quadrature methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A modified collocation Trefftz method for the inverse Cauchy problem of Laplace equation
• Combinations of method of fundamental solutions for Laplace's equation with singularities
• Quadrature methods for periodic singular and weakly singular Fredholm integral equations
• Preconditioned multiwavelet Galerkin boundary element solution of Laplace's equation
• Extrapolation Algorithms for Solving Mixed Boundary Integral Equations of the Helmholtz Equation by Mechanical Quadrature Methods
• Theory of Boundary Eigensolutions in Engineering Mechanics
• The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Applications