The paper deals with the Dirichlet problem for the Stokes linear equation in a domain exterior to an open surface. With the help of the theory of boundary integral (pseudo-differential) equations uniqueness and existence theorems are proved in the Bessel-potential and Besov spaces and C?-smoothness
On a robust BEM formulation for the Dirichlet problem of exterior stokes flow
β Scribed by A. Frangi
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 174 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0093-6413
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## Abstract In this paper we derive a mixed variational formulation for the exterior Stokes problem in terms of the vorticity and stream function, or the vector potential in three dimensions. The main steps are the construction of the stream function (or vector potential) and the proof of the BabuΕ‘
The purpose of the paper is to give an a priori convergence estimate for the hp-adaptive boundary element method. The method is used to solve an exterior Hehnholtz boundary-value problem with the Robin's boundary condition in the three-dimensional space. The mathematical model describes an acoustic