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
An effective direct solution method for certain boundary element equations in 3D
β Scribed by A. Meyer; S. Rjasanow
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 379 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0170-4214
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β¦ Synopsis
Abstract
The boundary element method for the Dirichlet problem in a threeβdimensional rotational domain leads to a system of linear equations with a full dense matrix having a special block structure. A direct solution method for such systems is presented, which requires O(N^3/2^ ln N) arithmetical operations only, using a Fast Fourier Transformation (FFT), where N denotes the number of unknowns on the boundary surface.
π SIMILAR VOLUMES
In the present work, we propose an indirect boundary-only integral equation approach for the numerical solution of the Navier-Stokes system of equations in a three-dimensional ow cavity. The formulation is based on an indirect integral representational formula for the permanent Stokes equations, and
## Abstract An advanced boundary element method (BEM) for solving twoβ (2D) and threeβdimensional (3D) problems in materials with microstructural effects is presented. The analysis is performed in the context of Mindlin's FormβII gradient elastic theory. The fundamental solution of the equilibrium