Numerical solution of a singular integral equation with Cauchy kernel in the plane contact problem

DOI10.1090/S0033-569X-2010-01231-3zbMath1215.65194MaRDI QIDQ2995456

Giuliana Criscuolo, Maria Rosaria Capobianco

Publication date: 21 April 2011

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

Full work available at URL: http://www.ams.org/journals/qam/2011-69-01/S0033-569X-2010-01231-3/home.html

zbMATH Keywords

convergencecollocation methodsingular integral equationsnumerical examplescontact problemhypersingular integral equationCauchy kernelVolterra operatorsfirst kind

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Contact in solid mechanics (74M15) Integral equations with kernels of Cauchy type (45E05)

Cites Work

• A fast algorithm for Prandtl's integro-differential equation
• A fast algorithm for solving the generalized airfoil equation
• Collocation with Chebyshev polynomials for a hypersingular integral equation on an interval
• A review of linear and nonlinear Cauchy singular integral and integro-differential equations arising in mechanics
• On the solution of integral equations with strongly singular kernels
• Uniform convergence of the collocation method for Prandtl's Integro-differential equation
• On the numerical solution of a hypersingular integral equation for elastic scattering from a planar crack
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