Numerical solution of a singular integral equation with Cauchy kernel in the plane contact problem (Articolo in rivista)

Type
Label
  • Numerical solution of a singular integral equation with Cauchy kernel in the plane contact problem (Articolo in rivista) (literal)
Anno
  • 2011-01-01T00:00:00+01:00 (literal)
Alternative label
  • Capobianco M.R., Criscuolo G. (2011)
    Numerical solution of a singular integral equation with Cauchy kernel in the plane contact problem
    in Quarterly of applied mathematics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Capobianco M.R., Criscuolo G. (literal)
Pagina inizio
  • 79 (literal)
Pagina fine
  • 89 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 69 (literal)
Rivista
Note
  • Scopu (literal)
  • ISI Web of Science (WOS) (literal)
  • Google Scholar (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Capobianco Maria Rosaria CNR-IAC Napoli Criscuolo Giuliana Dipartimento di Matematica e Applicazioni, Università di Napoli \"Federico II\" (literal)
Titolo
  • Numerical solution of a singular integral equation with Cauchy kernel in the plane contact problem (literal)
Abstract
  • This paper describes a collocation method for solving numerically a singular integral equation with Cauchy and Volterra operators, associated with a proper constraint condition. The numerical method is based on the transformation of the given integral problem into a hypersingular integral equation and then applying a collocation method to solve the latter equation. Convergence of the resulting method is then discussed, and optimal convergence rates for the collocation and discrete collocation methods are given in suitable weighted Sobolev spaces. Numerical examples are solved using the proposed numerical technique. (literal)
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