From the Back Cover
Dynamic unbounded medium–structure interactions occur in manyfields of engineering and physical science, such as wavepropagation in soil–structure and fluid–structure interactions,acoustics and electromagnetism and as diffusion in heat conductionand consolidation. This book presents three novel concepts, basedon the finite–element methodology, to model the unbounded medium:
- The consistent infinitesimal finite–element cell method, aboundary finite–element procedure, requires the discretization ofthe structure–medium interface only and is exact in thefinite–element sense. It is applied to unbounded media governed bythe hyperbolic, parabolic and elliptic differential equations.
- The damping–solvent extraction method permits the analysis of abounded medium only.
- The doubly–asymptotic multi–directional transmitting boundaryis exact for the low– and high–frequency limits at preselected wavepropagation directions.
All concepts are explained using simple examples that the readercan follow step by step. A computer program of the consistentinfinitesimal finite–element cell method available on disk analysestwo– and three–dimensional unbounded and bounded media for thescalar and vector wave equations and the diffusion equation in thefrequency and time domains.