WIT Press

Domain Decomposition Techniques for Boundary Elements

Application to Fluid Flow

Edited By: V. Popov, Wessex Institute of Technology, UK; H. Power, University of NottIngham, UK; L. Skerget, University of Maribor, Slovenia


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Book Series Title

Advances in Boundary Elements

Book Series


Transaction Series

WIT Transactions on State-of-the-art in Science and Engineering

Transaction Volume






The sub-domain techniques in the BEM are nowadays finding their 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, BEM subdomain technique. 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.

Time Domain Techniques in Computational Electromagnetics
Transformation of Domain Effects to the Boundary
Boundary Collocation Techniques and their Application in Engineering