Titlebook: Rational Transmitting Boundaries for Time-Domain Analysis of Dam-Reservoir Interaction; Benedikt Weber Book 1994 Springer Basel AG 1994 ea

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Common Numerical Procedures,ther by directly formulating a transmitting boundary condition in the time domain or by using discretization schemes specially devised for infinite domains or by transforming the frequency-domain solution to the time domain by techniques other than convolution.

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Approximation by Scalar Systems,In the last chapter we discussed the motivation and the theoretical background for employing the rational formulation. In this chapter, several methods for determining the coefficients of a rational transfer function are derived and illustrated by examples.

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Balanced Realization,on, a method for the realization problem has apparently not been found yet. On the other hand, there are methods available based on balancing which are not quite as accurate but numerically more attractive. A critical survey of different methods can be found in [KA87].

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Introduction,actical examples are soil-structure interaction for buildings on soft soils and fluid-structure interaction for dams and reservoirs. To keep the effort for the analysis reasonable, only the . consisting of the structure and a small portion of the surrounding media can be modeled directly while the r

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Model Problems,cifically, they will be used to explain the main difficulty when formulating the radiation condition in the time domain. The model problems are as simple as possible but general enough to allow a conclusive discussion. In the following chapters they will be used to investigate some commonly used num

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Common Numerical Procedures,ther by directly formulating a transmitting boundary condition in the time domain or by using discretization schemes specially devised for infinite domains or by transforming the frequency-domain solution to the time domain by techniques other than convolution.