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Hybrid Methods in Engineering

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ISSN Печать: 1099-2391

ISSN Онлайн: 2641-7359

ERROR ANALYSIS OF MIXED LUMPED-DIFFERENTIAL FORMULATIONS IN DIFFUSION PROBLEMS

Том 2, Выпуск 4, 2000, 28 pages
DOI: 10.1615/HybMethEng.v2.i4.40
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Краткое описание

Mixed lumped-differential formulations for diffusion problems are formally analyzed, with particular emphasis on heat transfer applications The main interest in these formulations resides in the task of modeling problems, prior to the choice of solution strategies, trying to reduce, as much as possible, and within prescribed accuracy requirements, the number of dimensions of any particular partial differential problem. This article illustrates appropriate integration strategies developed within a symbolic computation environment, which are employed to deduce mathematical formulations of comparable simplicity and improved accuracy in comparison with the classical well—established lumping procedures. Besides, approximate error expressions, based on the known boundary and/or initial conditions of the solutions, are readily obtained, for both steady and transient states formulations.

ЦИТИРОВАНО В
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