A Computational Framework for Boundary-Value Problem Based Simulations

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1998
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Adomaitis, Raymond A.
Lin, Yi-hung
Chang, Hsiao-Yung
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Abstract
A framework is presented for step-by-step implementation of weighted-residualmethods (MWR) for simulations that require the solution ofboundary-value problems. A set of Matlab-based functions ofthe computationally common MWR solution steps has beendeveloped and is used in the application of eigenfunction expansion,collocation, and Galerkin-projection discretizations oftime-dependent, distributed-parameter system models. Fourindustrially relevant examples taken from electronic materialsand chemical processing applications are used to demonstrate thesimulation approach developed.
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