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" Boundary Element Methods for Engineers and Scientists "
by Lothar Gaul, Martin Kögl, Marcus Wagner.
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BL
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| Record Number
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577703
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b406922
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| Main Entry
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Gaul, Lothar.
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| Title & Author
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Boundary Element Methods for Engineers and Scientists : An Introductory Course with Advanced Topics /\ by Lothar Gaul, Martin Kögl, Marcus Wagner.
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| Publication Statement
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Berlin, Heidelberg :: Springer Berlin Heidelberg :: Imprint: Springer,, 2003.
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| ISBN
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9783662051368
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: 9783642055898
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| Contents
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I. The Direct Boundary Element Method -- 1. Introduction -- 2. Mathematical Preliminaries -- 3. Continuum Physics -- 4. Boundary Element Method for Potential Problems -- 5. Boundary Element Method for Elastic Continua -- 6. Numerical Integration -- II. The Dual Reciprocity Method -- 7. DRM for Potential Problems and Elastodynamics -- 8. Solution of the Equations of Motion -- 9. Dynamic Piezoelectricity -- 10. Coupled Thermoelasticity -- III. Hybrid Boundary Element Methods -- 11. Variational Principles of Continuum Mechanics -- 12. The Hybrid Displacement Method -- 13. The Hybrid Stress Method for Acoustics -- 14. The Hybrid Boundary Element Method in Time Domain -- IV. Appendices -- A. Properties of Elastic Materials -- B. Fundamental Solutions -- C. Particular Solutions -- D. The Bott-Duffin Inverse -- References.
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| Abstract
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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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| Subject
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Engineering.
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Numerical analysis.
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Mechanics, applied.
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Kögl, Martin.
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Wagner, Marcus.
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SpringerLink (Online service)
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