A New Concept in Near-Singular Integral Evaluation: The Continuation Approach

DOI10.1137/0149078zbMath0687.65014OpenAlexW1983083455MaRDI QIDQ4206279

Sinnathurai Vijayakumar, Donald E. Cormack

Publication date: 1989

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0149078

zbMATH Keywords

singular integralGreen functionsboundary element methodintegralscontinuation methodNumerical examplesprincipal valuefinite part integralsnear-singular integralscontinuum integral

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (3)

Computing Weakly Singular and Near-Singular Integrals Over Curved Boundary Elements ⋮ Helmholtz equation and non-singular boundary elements applied to multi-disciplinary physical problems ⋮ On the tangential stress anomaly in the displacement discontinuity method

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