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

Authors

  • Sun-Gwon Hong Institute of Mathematics, Academy of Sciences, Pyongyang, DPR Korea

DOI:

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

Keywords:

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

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.

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Published

2016-07-05

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Section

Papers