Generalized Mangler-type principal value integrals with an application to fracture mechanics

DOI10.1016/0377-0427(90)90030-4zbMath0698.73074OpenAlexW2037913983MaRDI QIDQ912696

N. E. Zubov

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0377-0427(90)90030-4

zbMATH Keywords

plane elasticityinterface crackquadrature rulesPlemelj formulaefinite-part integralsCauchy-type integralsnumerical integration ruleshypersingular integrodifferential equationsecond-order singularities

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Brittle damage (74R05) Integral equations with kernels of Cauchy type (45E05) Singular integral equations (45E99)

Related Items (2)

Numerical evaluation of hypersingular integrals ⋮ The Cauchy principal value and the Hadamard finite part integral as values of absolutely convergent integrals

Cites Work

• A new interpretation of Cauchy type singular integrals with an application to singular integral equations
• On the Uniform Convergence of Gaussian Quadrature Rules for Cauchy Principal Value Integrals and Their Derivatives
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