Location of boundary contours and discontinuity arcs, of known shape and conditions, of analytic functions by using contour integrals

DOI10.1016/0377-0427(89)90035-6zbMath0669.65016OpenAlexW2072381602MaRDI QIDQ1118968

S. H. Smith

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0377-0427(89)90035-6

zbMATH Keywords

holesanalytic functioninclusionscrackscontour integralsCauchy type integralscomplex path- independent integralslocation of boundariesarc of discontinuityComplex integrals

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of solutions to single equations (65H05)

Related Items

Application of complex path-independent integrals to problems of bending of thin elastic plates ⋮ Application of the conformal mapping and the complex path-independent integrals to the location of elliptical holes and inclusions in plane elasticity problems ⋮ The location of discontinuity intervals of sectionally analytic functions: Applications to the interface crack problem ⋮ Numerical estimation of the coefficient of the homogeneous Riemann- Hilbert problem on the basis of boundary data

Cites Work

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