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

Sun-Gwon Hong

Abstract


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

Keywords


hypersingular integral; boundary limit method; complex boundary element method; symmetric boundary element scheme

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DOI: https://doi.org/10.14713/ejbe.v13i1.1972



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