The Cruciform Crack Problem and Sigmoidal Transformations

DOI<121::AID-MMA840>3.0.CO;2-7 10.1002/(SICI)1099-1476(19970125)20:2<121::AID-MMA840>3.0.CO;2-7zbMath0865.73044OpenAlexW2051939563MaRDI QIDQ2785653

David L. Elliott

Publication date: 6 July 1997

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(19970125)20:2<121::aid-mma840>3.0.co;2-7

zbMATH Keywords

integral equationsingularitySidi transformation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fracture and damage (74R99)

Related Items (8)

A numerical method for the solution of exterior Neumann problems for the Laplace equation in domains with corners ⋮ Approximate solution to an integral equation with fixed singularity for a cruciform crack ⋮ A numerical method for the solution of integral equations of Mellin type ⋮ Numerical solution of an integral equation arising in the problem of cruciform crack using Daubechies scale function ⋮ A modified Nyström method for integral equations with Mellin type kernels ⋮ Nyström type methods for Fredholm integral equations with weak singularities ⋮ An efficient transformation with Gauss quadrature rule for weakly singular integrals ⋮ A non-linear co-ordinate transformation for accurate numerical evaluation of weakly singular integrals

Cites Work

• Unnamed Item
• A Nyström method for boundary integral equations on domains with a piecewise smooth boundary
• A Nyström method for boundary integral equations in domains with corners
• An IMT-type double exponential formula for numerical integration
• On a certain quadrature formula
• An algorithm for the approximate solution of integral equations of Mellin type
• The Numerical Solution of Laplace's Equation on a Wedge
• A PRESSURIZED CRACK IN THE FORM OF A CROSS

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