The finite element (FE) solutions of a general elliptic equation -div([a ij ] β’ βu) + u = f in an exterior domain , which is the complement of a bounded subset of R 3 , is considered. The most common approach to deal with exterior domain problems is truncating an unbounded subdomain β , so that the
On the finite element solution of an exterior boundary value problem
β Scribed by Winifred L. Wood
- Publisher
- John Wiley and Sons
- Year
- 1976
- Tongue
- English
- Weight
- 277 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0029-5981
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β¦ Synopsis
Abstract
This paper compares three methods for dealing with an exterior boundary value problem by the Finite Element Method, one of which involves using an infinite element. The methods are illustrated by application to the problem of ground water flow round a tunnel with permeable invert. The use of a special trial function with a variable parameter in the infinite element gives a particularly efficient method of solution.
π SIMILAR VOLUMES
A finite element scheme is devised for the solution of nonlinear time-dependent exterior wave problems. The two-dimensional nonlinear scalar (Klein-Gordon) wave equation is taken as a model to illustrate the method. The governing equation is first discretized in time, leading to a time-stepping sche
## Abstract We consider a coupled finite element (fe)βboundary element (be) approach for threeβdimensional magnetic field problems. The formulation is based on a vector potential in a bounded domain (fe) and a scalar potential in an unbounded domain (be). We describe a coupled variational problem y