The graph-theoretic field model— II. application of multi-terminal representations to field problems |
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| Authors: | GJ Savage HK Kesavan |
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| Institution: | Department of Systems Design, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1 |
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| Abstract: | This paper is a sequel to a paper entitled “The Graph-Theoretic Field Model—I: Modelling and Formulations” (1). Herein, the Theory of Multi-Terminal Representations is applied to the Graph-Theoretic Field Model to provide mathematical models of finite elements. The element models are obtained solely from the algebraic building blocks of the Graph-Theoretic Field Model, without recourse to any functional mathematics. The theory of Multi-Terminal Representations is developed for both linear and non-linear problems. Examples of the application of the theory to one- and two-dimensional field problems are presented from heat conduction and electrostatics. |
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