H. Power

The ability to study complex biological processes has greatly improved with the increasing speed and expanded storage capacity of modern computers, together with new advanced numerical methods and programming techniques. Bioengineering applies the methods of engineering, applied mathematics and physics to the study of biological phenomena, and the use of their concepts to describe these phenomena. In addition, since fluids are one of the major components of a living organism, fluid mechanics play a major role in bioengineering, by analyzing and simulating the fluid flow problems associated with physiological processes.

Bio-fluid Mechanics

R. T. Hart

Computer Simulations in Biomedicine

C. A. Brebbia

Covering the latest developments in the field of boundary elements, this work contains a selection of papers presented at the 21st International Conference on the topic. The 70 papers have been contributed by researchers from many countries and are divided under various headings.

Boundary Elements XXI

Viktor Popov

L. Škerget

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.

Application to Fluid Flow

Domain Decomposition Techniques for Boundary Elements

Covering state-of-the-art developments in this field of engineering analysis, this volume consists of the papers presented at an international conference devoted to the boundary element method. It addresses areas of active research related to the BEM community, such as meshless techniques, advanced formulations and high performance computing. Further work in the dual reciprocity method is also discussed. Other papers reflect late-20th century advances in fluid dynamics, fracture and damage mechanics, acoustics and electromagnetism, while there is also a section on the industrial implementation of the technique, and the way in which it can be used as a tool.

H. Power

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