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内容説明
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.
Book 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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