Adaptive \(h\)- and \(h\)-\(r\) methods for Symm's integral equation

DOI10.1016/S0045-7825(97)00326-5zbMath0936.65147OpenAlexW2059612079MaRDI QIDQ1808061

Thang Cao

Publication date: 30 November 1999

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(97)00326-5

zbMATH Keywords

numerical resultselasticityfinite differencesa posteriori error estimateSymm's integral equationGalerkin approximation\(h\)-, \(r\)- and \(h\)-\(r\) methodsmesh grading function

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Classical linear elasticity (74B05) Numerical methods for ill-posed problems for integral equations (65R30) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items

Superconvergence and the use of the residual as an error estimator in the BEM. II: Collocation, numerical integration and error indicators, A posteriori boundary element error estimation

Cites Work

• Adaptive boundary element methods for strongly elliptic integral equations
• A finite element method for some integral equations of the first kind
• The h, p and h-p versions of the finite element method in 1 dimension. III. The adaptive h-p version
• On the \(h\)-\(p\) version of the boundary element method for Symm's integral equation on polygons
• On a class of two-dimensional Stokes flows
• Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
• Boundary integral equations for mixed Dirichlet, Neumann and transmission problems
• Grading Functions and Mesh Redistribution
• The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Theory
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• Analysis of Optimal Finite-Element Meshes in R 1
• On the integral equation method for the plane mixed boundary value problem of the Laplacian
• Error Estimates for Adaptive Finite Element Computations
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