Wednesday, March 2, 2011

Boundary Element Methods for Engineers and Scientists: An Introductory Course with Advanced Topics

Boundary Element Methods for Engineers and Scientists: An Introductory Course with Advanced Topics

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Product Description

This introductory course on the classical Boundary Element Method also contains advanced topics such as the Dual Reciprocity and the Hybrid Boundary Element Methods. The latter methods are extensions that permit the application of BME to anisotropic materials, as well as multi-field problems and fluid-structure interaction. The class-tested textbook offers a clear and easy-to-understand introduction to the subject, including worked-out examples that describe all the basic features of the method. The first two chapters not only establish the mathematical basis for BEM but also review the basics of continuum mechanics for field problems, perhaps a unique feature for a text on numerical methods. This helps the reader to understand the physical principles of the field problems, to apply the method judiciously, and toe critically evaluate the results.

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Boundary Element Methods for Engineers and Scientists: An Introductory Course with Advanced Topics Review

I think the book does an overall decent job of putting the relevant information together. I found the introduction to the Dual Reciprocity Method quite helpful. The book presents discussions on classical singularity removal techniques, for more specialized applications (which is almost always the case) you are on your own. The illustrations are nicely done.

The emphasis is strong on Laplace and Poisson equations. Personally, I won't mind seeing a chapter on drop mechanics. If the authors plan to publish a next edition, I'd encourage them to consider including a bit more differential geometry. For now, this is one of the books I am suggesting to my graduate students. I'd really rather give it a 3.5 stars if I could.

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