NDLI: Two-dimensional block based physical modeling with the functional transformation method (2005)

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Two-dimensional block based physical modeling with the functional transformation method (2005)

Content Provider	CiteSeerX
Author	Petrausch, Stefan Rabenstein, Rudolf
Description	The Functional Transformation Method (FTM) is a mathematical founded method for the solution of multi- dimensional initial boundary value problems. It is based on suitable problem-specific integral transformations, that yield a transfer function model (TFM) in both, space and time frequency domain. This TFM can be discretized and, after inverse transformation, realized on computer hardware. The boundary conditions are so far inherently included in the solution. Slight changes in type or form always require a complete reanalysis. Therefore in this paper a new blockbased approach for two-dimensional regions is presented, where the complete model is subdivided into smaller regions. These smaller models are solved independently with the FTM and are merged again in the discrete system. The complete procedure is demonstrated and illustrated with the two-dimensional wave equation. 1.
File Format	PDF
Language	English
Publisher Date	2005-01-01
Publisher Institution	in Fourth Int. Workshop on Multidimensional (ND) Systems (NDS 2005
Access Restriction	Open
Subject Keyword	Inverse Transformation Complete Reanalysis New Blockbased Approach Physical Modeling Two-dimensional Block Complete Procedure Two-dimensional Region Two-dimensional Wave Equation Time Frequency Domain Complete Model Slight Change Functional Transformation Method Transfer Function Model Computer Hardware Mathematical Founded Method Discrete System Suitable Problem-specific Integral Transformation Boundary Condition
Content Type	Text
Resource Type	Article

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