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

Petrausch S, Rabenstein R (2005)


Publication Status: Published

Publication Type: Conference contribution, Conference Contribution

Publication year: 2005

Book Volume: 2005

Pages Range: 104-109

Article Number: 1507840

Event location: Wuppertal DE

URI: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33749055693&origin=inward

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.

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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.

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