Density results using Stokeslets and a method of fundamental solutions for the Stokes equations

In this paper we establish new density results for the trace spaces H 1/2( ∂Ω) and H n 1/2( ∂Ω)≔{ v ∈ H 1/2( ∂Ω): ∫ ∂Ω v · n =0} in terms of Stokeslets, fundamental solutions of the Stokes equations. Such density results are used to choose basis functions in the Method of Fundamental Solutions (MFS)...

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Bibliographic Details
Published in:Engineering analysis with boundary elements 2004-10, Vol.28 (10), p.1245-1252
Main Authors: Alves, C.J.S, Silvestre, A.L
Format: Article
Language:English
Subjects:
Density theorems
Method of fundamental solutions
Stokes equations
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Summary:In this paper we establish new density results for the trace spaces H 1/2( ∂Ω) and H n 1/2( ∂Ω)≔{ v ∈ H 1/2( ∂Ω): ∫ ∂Ω v · n =0} in terms of Stokeslets, fundamental solutions of the Stokes equations. Such density results are used to choose basis functions in the Method of Fundamental Solutions (MFS) for solving boundary value problems for the Stokes equations. Numerical simulations for the two-dimensional Dirichlet problem using this MFS method are presented.
ISSN:0955-7997
1873-197X
DOI:10.1016/j.enganabound.2003.08.007