## Abstract In this paper, we combine the usual finite element method with a Dirichlet‐to‐Neumann (DtN) mapping, derived in terms of an infinite Fourier series, to study the solvability and Galerkin approximations of an exterior transmission problem arising in non‐linear incompressible 2d‐elasticit
On a weakly formulated exterior problem from linear hydrodynamics
✍ Scribed by K. Doppel; B. Schomburg
- Publisher
- John Wiley and Sons
- Year
- 1988
- Tongue
- English
- Weight
- 481 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0170-4214
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✦ Synopsis
Communicated by E. Meister
In this paper we investigate a certain exterior boundary value problem for the inhomogeneous Helmholtz equation. We give sufficient conditions for the unique solvability of a weak formulation of this problem and show an interior regularity result for all weak solutions. As a speciaI case the incompressible, irrotational and stationary fluid flow around a totally immersed obstacle (submarine problem) is included.
📜 SIMILAR VOLUMES
We develop the finite dimensional analysis of a new domain decomposition method for linear exterior boundary value problems arising in potential theory and heat conductivity. Our approach uses a Dirichlet-to-Neumann mapping to transform the exterior problem into an equivalent boundary value problem
## Abstract The aim of the paper is to study the asymptotic behaviour of solutions of second‐order elliptic and parabolic equations, arising in modelling of flow in cavernous porous media, in a domain Ω^ε^ weakly connected by a system of traps 𝒫^ε^, where ε is the parameter that characterizes the s
## Abstract The linearized initial boundary value problem describing the motion of the viscous compressible fluid is studied under Dirichlet zero condition in bounded and unbounded domains. The resolvent estimate for the corresponding operator is proved in the __L~p~__ framework and the sharp inner