Product Description

Dynamic unbounded medium–structure interactions occur in many fields of engineering and physical science, such as wave propagation in soil–structure and fluid–structure interactions, acoustics and electromagnetism and as diffusion in heat conduction and consolidation. This book presents three novel concepts, based on the finite–element methodology, to model the unbounded medium:
∗ The consistent infinitesimal finite–element cell method, a boundary finite–element procedure, requires the discretization of the structure–medium interface only and is exact in the finite–element sense. It is applied to unbounded media governed by the hyperbolic, parabolic and elliptic differential equations.
∗ The damping–solvent extraction method permits the analysis of a bounded medium only.
∗ The doubly–asymptotic multi–directional transmitting boundary is exact for the low– and high–frequency limits at preselected wave propagation directions.
All concepts are explained using simple examples that the reader can follow step by step. A computer program of the consistent infinitesimal finite–element cell method available on disk analyses two– and three–dimensional unbounded and bounded media for the scalar and vector wave equations and the diffusion equation in the frequency and time domains.

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Product Details

• Amazon Sales Rank: #1850984 in Books
• Published on: 1996-06-10
• Original language: English
• Number of items: 1
• Binding: Hardcover
• 350 pages

From the Back Cover
Dynamic unbounded medium–structure interactions occur in many fields of engineering and physical science, such as wave propagation in soil–structure and fluid–structure interactions, acoustics and electromagnetism and as diffusion in heat conduction and consolidation. This book presents three novel concepts, based on the finite–element methodology, to model the unbounded medium:

1. The consistent infinitesimal finite–element cell method, a boundary finite–element procedure, requires the discretization of the structure–medium interface only and is exact in the finite–element sense. It is applied to unbounded media governed by the hyperbolic, parabolic and elliptic differential equations.
2. The damping–solvent extraction method permits the analysis of a bounded medium only.
3. The doubly–asymptotic multi–directional transmitting boundary is exact for the low– and high–frequency limits at preselected wave propagation directions.

All concepts are explained using simple examples that the reader can follow step by step. A computer program of the consistent infinitesimal finite–element cell method available on disk analyses two– and three–dimensional unbounded and bounded media for the scalar and vector wave equations and the diffusion equation in the frequency and time domains.