TWO-dimensional block based physical modeling with the functional transformation method

Conference contribution
(Conference Contribution)


Publication Details

Author(s): Petrausch S, Rabenstein R
Publication year: 2005
Volume: 2005
Pages range: 104-109


Abstract


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 block-based 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 demon-strated and illustrated with the two-dimensional wave equation.



FAU Authors / FAU Editors

Rabenstein, Rudolf Prof. Dr.
Lehrstuhl für Multimediakommunikation und Signalverarbeitung


How to cite

APA:
Petrausch, S., & Rabenstein, R. (2005). TWO-dimensional block based physical modeling with the functional transformation method. In Proceedings of the 4th International Workshop on Multidimensional Systems, NDS 2005 (pp. 104-109). Wuppertal, DE.

MLA:
Petrausch, Stefan, and Rudolf Rabenstein. "TWO-dimensional block based physical modeling with the functional transformation method." Proceedings of the 4th International Workshop on Multidimensional Systems, NDS 2005, Wuppertal 2005. 104-109.

BibTeX: 

Last updated on 2019-03-06 at 07:09

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