On a new integration rule with the Gegenbauer polynomials for singular integral equations used in the theory of elasticity

DOI10.1007/BF00537198zbMath0627.73018OpenAlexW307889890MaRDI QIDQ3763651

E. G. Ladopoulos

Publication date: 1988

Published in: Ingenieur-Archiv (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00537198

zbMATH Keywords

Gegenbauer polynomialsplaneantiplane elasticityCauchy-type singular integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Brittle damage (74R05) Elastic materials (74B99) Integral equations with kernels of Cauchy type (45E05)

Related Items

Quadrature rules for weakly singular, strongly singular, and hypersingular integrals in boundary integral equation methods ⋮ Nonlinear singular integral equations in elastodynamics by using Hilbert transformations ⋮ The general type of finite-part singular integrals and integral equations with logarithmic singularities used in fracture mechanics ⋮ On Approximate Solutions of Linear and Nonlinear Singular Integral Equations ⋮ Non-linear singular integral approximations in banach spaces ⋮ Non‐linear dynamic analysis by three‐dimensional ordinary differential equations ⋮ Existence and uniqueness for nonlinear singular integral equations used in fluid mechanics ⋮ Approximations of singular integral equations on Lyapunov contours in Banach spaces

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