A modified non-linear transformation method for evaluating weakly singular boundary integrals.

DOI10.1016/S0096-3003(02)00917-7zbMath1035.65141OpenAlexW2045083406MaRDI QIDQ1417022

Peter R. Johnston, Barbara M. Johnston

Publication date: 18 December 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00917-7

zbMATH Keywords

comparison of methodsnumerical examplesBoundary element methodboundary integralsLaplace's equationSingular integralsNon-linear transformationSingularity subtraction

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items

Analysis of the temperature field in anisotropic coating-structures by the boundary element method, Estimating quadrature errors for an efficient method for quasi-singular boundary integral

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Transformations for evaluating singular boundary element integrals
• Numerical integration of functions with boundary singularities
• On non-linear transformations for accurate numerical evaluation of weakly singular boundary integrals
• On non-linear transformations for the integration of weakly-singular and Cauchy Principal Value integrals
• Remarks on methods for the computation of boundary-element integrals by co-ordinate transformation
• A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
• A Collocation Method for the Generalized Airfoil Equation for an Airfoil with a Flap
• Application of sigmoidal transformations to weakly singular and near-singular boundary element integrals
• Numerical Solution of the Generalized Airfoil Equation for an Airfoil with a Flap
• Semi-sigmoidal transformations for evaluating weakly singular boundary element integrals
• Error estimation of quadrature rules for evaluating singular integrals in boundary element problems
• A simple device to improve the accuracy of evaluating weakly singular boundary element integrals
• A bi‐cubic transformation for the numerical evaluation of the Cauchy principal value integrals in boundary methods
• A generalisation of Telles' method for evaluating weakly singular boundary element integrals