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Symmetric Complex Boundary Element Scheme for 2-D Stokes Mixed Boundary Value Problem

Authors
  • Hong, Sun-Gwon
Publication Date
Jul 05, 2016
Source
Electronic Journal of Boundary Elements
Keywords
Language
English
License
Unknown
External links

Abstract

For 2-D Stokes mixed boundary value problems we construct a boundaryintegral equation which couples a conventional boundary integral equationfor the velocity with a hypersingular boundary integral equation for thetraction. Expressing terms in the equation by complex variables, we obtain acomplex boundary integral equation and realize symmetrization of boundaryelement scheme by Galerkin method. Applying a boundary limit method, weobtain exact calculation formulae for calculation of hypersingular boundaryintegrals. It is shown that all divergent terms in hypersingular integralscancel each other out.

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