The dual reciprocity boundary element method traditionally uses the linear radial basis function r for interpolation. Recently, however, the use of the r function has been questioned both in relation to accuracy and in relation to the number and position of internal nodes required to obtain satisfac
The hp-Version of the Boundary Element Method in ℝ3 The Basic Approximation Results
✍ Scribed by M. Maischak; E. P. Stephen
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 349 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0170-4214
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✦ Synopsis
Dedicated to
📜 SIMILAR VOLUMES
We propose and analyze efficient preconditioners for solving systems of equations arising from the p-version for the finite element/boundary element coupling. The first preconditioner amounts to a block Jacobi method, whereas the second one is partly given by diagonal scaling. We use the generalized
This paper describes an adaptive hp-version mesh reÿnement strategy and its application to the ÿnite element solution of one-dimensional ame propagation problems. The aim is to control the spatial and time discretization errors below a prescribed error tolerance at all time levels. In the algorithm,
## Dedicated to G. C. Hsiao on the occasion of his 60th birthday The two-dimensional frictionless contact problem of linear isotropic elasticity in the half-space is treated as a boundary variational inequality involving the Poincare-Steklov operator and discretized by linear boundary elements. Qua
In this paper the diffusion equation is solved in two-dimensional geometry by the dual reciprocity boundary element method (DRBEM). It is structured by fully implicit discretization over time and by weighting with the fundamental solution of the Laplace equation. The resulting domain integral of the
This paper describes the solution of a steady state natural convection problem in porous media by the dual reciprocity boundary element method (DRBEM). The boundary element method (BEM) for the coupled set of mass, momentum, and energy equations in two dimensions is structured by the fundamental sol