On the location of straight discontinuity intervals of arbitrary sectionally analytic functions by using complex path-independent integrals
type: Item
instance of: scholarly article
title: On the location of straight discontinuity intervals of arbitrary sectionally analytic functions by using complex path-independent integrals
zbMATH Open document ID: 0615.65034
DOI: 10.1016/0045-7825(87)90011-9
author: E. G. Anastasselou
author: N. I. Ioakimidis
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1987-01-01T00:00:00Z
review text: The classical method of locating zeros and poles of analytic and meromorphic functions in the complex plane via the evaluation of complex path-independent integrals on closed contours surrounding the sought zeros and poles is generalized to become applicable (for the first time) to the location of straight discontinuity intervals of completely general sectionally analytic functions possessing such an interval. Such is the case e.g. in crack problems in plane elasticity or in airfoils in plane fluid dynamics. This generalization makes use of appropriate or arbitrary quadrature rules and, in this way, it leads to a completely numerical method. The method is illustrated in the case of a simple sectionally analytic function, where the classical Chebyshev and Legendre polynomials are used and numerical results are presented. Possible generalizations of the present results are also reported in brief and are strongly expected in future.
Mathematics Subject Classification ID: 65E05
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 30C15
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 76B10
zbMATH DE Number: 3997013
zbMATH Keywords: complex path-independent integrals
zbMATH Keywords: location of straight discontinuity intervals
zbMATH Keywords: analytic functions
zbMATH Keywords: crack problems
zbMATH Keywords: airfoils
zbMATH Keywords: quadrature rules
MaRDI profile type: Publication
full work available at URL: 0045-7825(87)90011-9
OpenAlex ID: W1996168536
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description: scientific article; zbMATH DE number 3997013