A Computational Framework for Boundary-Value Problem Based Simulations

Abstract

A framework is presented for step-by-step imple mentation of weighted-residual methods (MWR) for simulations that require the solution of boundary-value problems. A set of MATLAB-based functions of the computationally common MWR solution steps has been developed and is used in the application of eigenfunction expansion, collo cation, and Galerkin-projection discretizations of time-dependent, distributed-parameter system models. Four industrially relevant examples taken from electronic materials and chemical processing applications are used to demonstrate the simula tion approach developed. This library of functions and several demonstration scripts can be obtained from the MWRtools project Website located at http://www.ench.umd.edu/software/MWRtools.