Boundary element methods for engineers and scientists

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-understandintroduction 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 mechanicsfor 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. INDICE: Introduction.- Mathematical Preliminaries.- Continuum Physics.- Boundary Element Method for Potential Problems.- Boundary Element Method for Elastic Continua.- Numerical Integration.- ; DRM for Potential Problems and Elastodynamics.- Solution of the Equations of Motion.- Dynamic Piezoelectricity.- Coupled Thermoelasticity.- Variational Principles of Continuum Mechanics.- The Hybrid Displacement Method.- The Hybrid Stress ;Method for Acoustics.- The Hybrid Boundary Element Method in Time Domain.- Properties of Elastic Materials.-Fundamental Solutions.- Particular Solutions.- The Bott-Duffin Inverse.

• ISBN: 978-3-642-05589-8
• Editorial: Springer
• Encuadernacion: Rústica
• Fecha Publicación: 31/03/2012
• Nº Volúmenes: 1
• Idioma: Inglés