A computational framework for boundary-value problem based simulations

A framework is presented for step-by-step implementation of weighted-residu al methods (MWR) for simulations that require the solution of boundary-valu e problems. A set of MATLAB-based functions of the computationally common M WR solution steps has been developed and is used in the application of eige nfunction expansion, collocation, and Galerkin-projection discretizations o f time dependent, distributed-parameter system models. Four industrially re levant examples taken from electronic materials and chemical processing app lications are used to demonstrate the simulation approach developed. This l ibrary of functions and several demonstration scrips can be obtained from t he MWRtools project Website located at http://www.ench.umd.edu/software/MWR tools.