A Nyström scheme with rational quadrature applied to edge crack problems

DOI10.1002/cnm.937zbMath1130.74056OpenAlexW2132968590MaRDI QIDQ5435435

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Publication date: 14 January 2008

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://lup.lub.lu.se/record/629728

zbMATH Keywords

integral equationstress intensity factorfast multipole method

Mathematics Subject Classification ID

Brittle fracture (74R10) Stress concentrations, singularities in solid mechanics (74G70)

Related Items (3)

Higher-order extended finite elements with harmonic enrichment functions for complex crack problems ⋮ On the evaluation of layer potentials close to their sources ⋮ The isogeometric Nyström method

Cites Work

• Stress computations on perforated polygonal domains.
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• Thin bridges in isotropic electrostatics
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• Stable algorithm for the stress field around a multiply branched crack
• Efficient algorithm for edge cracked geometries
• The dual boundary element method: Effective implementation for crack problems
• Generalized Gaussian Quadratures and Singular Value Decompositions of Integral Operators
• On the computation of stress fields on polygonal domains with V-notches
• The Numerical Solution of Integral Equations of the Second Kind
• Hypersingular quarter‐point boundary elements for crack problems
• Numerical integration of a function that has a pole
• A fast algorithm for particle simulations
• The use of rational functions in numerical quadrature

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