1996
DOI: 10.1016/0377-0427(95)00190-5
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Numerical computation of Muskhelishvili's integral equation in plane elasticity

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Cited by 6 publications
(3 citation statements)
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“…Then there exists an integer n 0 such that equations (20) are solvable for all n ≥ n 0 , and the sequence {x n } n≥n 0 converges to a solution of equation (3) in the norm of C (Γ).…”
Section: Theorem 5 Let γ Be a Simple Closed Curve And Let Its Paramementioning
confidence: 99%
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“…Then there exists an integer n 0 such that equations (20) are solvable for all n ≥ n 0 , and the sequence {x n } n≥n 0 converges to a solution of equation (3) in the norm of C (Γ).…”
Section: Theorem 5 Let γ Be a Simple Closed Curve And Let Its Paramementioning
confidence: 99%
“…42 -43], [17], [19,Chapter 4], that equation (3) is closely connected to different problems of elasticity theory and the theory of slow viscous flows. In fact, a number of boundary value problems for the biharmonic operator in the domain D can be reduced to equation (3). This makes equation (3) a very valuable object for application of different numerical procedures because it allows us to essentially reduce computational costs while considering the corresponding problems for partial differential equations.…”
Section: Introductionmentioning
confidence: 99%
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