Splitting extrapolation algorithms for solving the boundary integral equations of Steklov problems on polygons by mechanical quadrature methods

DOI10.1016/j.enganabound.2011.05.006zbMath1259.65166OpenAlexW2001734419MaRDI QIDQ1944586

Pan Cheng, Jin Huang, Guang Zeng

Publication date: 25 March 2013

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2011.05.006

zbMATH Keywords

eigenvaluesingularityLaplace's equationmechanical quadrature methodsplitting extrapolation

Mathematics Subject Classification ID

Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (6)

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 ⋮ Mechanical quadrature methods and extrapolation algorithms for boundary integral equations with linear boundary conditions in elasticity ⋮ Mechanical quadrature methods and extrapolation for solving nonlinear problems in elasticity ⋮ A DRBEM approximation of the Steklov eigenvalue problem ⋮ Mechanical quadrature methods and extrapolation for solving nonlinear boundary Helmholtz integral equations

Cites Work

• Advanced quadrature methods and splitting extrapolation algorithms for first kind boundary integral equations of Laplace's equation with discontinuity solutions
• Combinations of method of fundamental solutions for Laplace's equation with singularities
• High accuracy eigensolution and its extrapolation for potential equations
• Mechanical quadrature methods and their splitting extrapolations for boundary integral equations of first kind on open arcs
• Mechanical quadrature methods and their splitting extrapolations for solving boundary integral equations of axisymmetric Laplace mixed boundary value problems
• Quadrature methods for periodic singular and weakly singular Fredholm integral equations
• The modified quadrature method for logarithmic-kernel integral equations on closed curves
• An optimal order collocation method for first kind boundary integral equations on polygons
• On integral equations of the first kind with logarithmic kernels
• Preconditioned multiwavelet Galerkin boundary element solution of Laplace's equation
• A posteriori error estimates for the Steklov eigenvalue problem
• Theory of Boundary Eigensolutions in Engineering Mechanics
• An augmented galerkin procedure for the boundary integral method applied to two-dimensional screen and crack problems
• The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Theory
• Quadrature methods for logarithmic-kernel integral equations on closed curves
• The Collocation Method for First-Kind Boundary Integral Equations on Polygonal Regions
• Isoparametric finite-element approximation of a Steklov eigenvalue problem
• The Splitting Extrapolation Method
• Galerkin's method for boundary integral equations on polygonal domains
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