TY - JOUR

T1 - A note on the Gauss-Jacobi quadrature formulae for singular integral equations of the second kind

AU - Ma, Lifeng

AU - Korsunsky, Alexander M.

PY - 2004/4

Y1 - 2004/4

N2 - A fast and efficient numerical method based on the Gauss-Jacobi quadrature is described that is suitable for solving Fredholm singular integral equations of the second kind that are frequently encountered in fracture and contact mechanics. Here we concentrate on the case when the unknown function is singular at both ends of the interval. Quadrature formulae involve fixed nodal points and provide exact results for polynomials of degree 2n-1, where n is the number of nodes. Finally, an application of the method to a plane problem involving complete contact is presented.

AB - A fast and efficient numerical method based on the Gauss-Jacobi quadrature is described that is suitable for solving Fredholm singular integral equations of the second kind that are frequently encountered in fracture and contact mechanics. Here we concentrate on the case when the unknown function is singular at both ends of the interval. Quadrature formulae involve fixed nodal points and provide exact results for polynomials of degree 2n-1, where n is the number of nodes. Finally, an application of the method to a plane problem involving complete contact is presented.

KW - Gauss-Jacobi quadrature

KW - Singular integral equation

UR - http://www.scopus.com/inward/record.url?scp=2942565666&partnerID=8YFLogxK

U2 - 10.1023/B:FRAC.0000031158.62052.3c

DO - 10.1023/B:FRAC.0000031158.62052.3c

M3 - Article

AN - SCOPUS:2942565666

VL - 126

SP - 399

EP - 405

JO - International Journal of Fracture

JF - International Journal of Fracture

SN - 0376-9429

IS - 4

ER -