Domain Decomposition Techniques for Boundary Elements: Application to Fluid Flow [Kõva köide]

These first steps in using the boundary element method (BEM) in conjunction with a large number of sub-domains result in meshes that resemble those produced by the finite element method (FEM) with increased efficiency. The editors and their contributors work first from diffusion-convection problems with numerical examples, then move to viscous compressible fluid dynamics and an appraisal of using multi-domain dual reciprocity methods (DRMs) and BEMs for the numerical simulation of non-isothermal flow problems. They model flow and solute transport in fractured porous media using the DRM multidomain technique, present a parallel domain decomposition BEM approach for large-scale transient and steady nonlinear heat conduction, develop a computational implementation for three-dimensional problems and conclude with iterative schemes for the solution of systems of equations arising from the DRM in multidomains. The US office of WIT Press is Computational Mechanics. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)

The sub-domain techniques in the BEM are nowadays finding its place in the toolbox of numerical modellers, especially when dealing with complex 3D problems. We see their main application in conjunction with the classical BEM approach, which is based on a single domain, when part of the domain needs to be solved using a single domain approach, the classical BEM, and part needs to be solved using a domain approach. This has usually been done in the past by coupling the BEM with the FEM, however, it is much more efficient to use a combination of the BEM and a BEM sub-domain technique. The advantage arises from the simplicity of coupling the single domain and multi-domain solutions, and from the fact that only one formulation needs to be developed, rather than two separate formulations based on different techniques. There are still possibilities for improving the BEM sub-domain techniques. However, considering the increased interest and research in this approach we believe that BEM sub-domain techniques will become a logical choice in the future substituting the FEM whenever an efficient solution requires coupling of the BEM with a domain technique.