DOI: 10.1177/003754970007400104. A Computational Framework for Boundary-Value Problem Based Simulations

A Computational Framework for Boundary-Value Problem Based Simulations

10.1177/003754970007400104

Crossref journal-article

SAGE Publications

SIMULATION (179)

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.

Bibliography

Adomaitis, R. A., Lin, Y., & Chang, H.-Y. (2000). A Computational Framework for Boundary-Value Problem Based Simulations. SIMULATION, 74(1), 28â38.

Authors 3

Raymond A. Adomaitis (first)
Yi-hung Lin (additional)
Hsiao-Yung Chang (additional)

References 26 Referenced 4

{'volume-title': 'Partial Differential Equations and Boundary Value Problems with Maple V', 'year': '1998', 'author': 'Articolo, G.A.', 'key': 'atypb1'} / Partial Differential Equations and Boundary Value Problems with Maple V by Articolo, G.A. (1998)
10.1007/978-1-4612-1754-1
{'volume-title': 'Boundary Value Problems and Orthogonal Expansions—Physical Problems from a Sobolev Viewpoint', 'year': '1994', 'author': 'MacCluer, C.R.', 'key': 'atypb3'} / Boundary Value Problems and Orthogonal Expansions—Physical Problems from a Sobolev Viewpoint by MacCluer, C.R. (1994)
10.1145/355945.355950
10.1007/3-540-09554-3
{'volume-title': "Partial Differential Equation Toolbox—For Use with MATLAB User's Guide", 'year': '1995', 'key': 'atypb6'} / Partial Differential Equation Toolbox—For Use with MATLAB User's Guide (1995)
{'volume-title': 'Special Functions for Engineers and Applied Mathematicians', 'year': '1985', 'author': 'Andrews, L.C.', 'key': 'atypb7'} / Special Functions for Engineers and Applied Mathematicians by Andrews, L.C. (1985)
10.1016/S0098-1354(99)00272-0
10.1016/S0096-3003(99)00065-X
{'volume-title': 'Solution of Differential Equation Models by Polynomial Approximation', 'year': '1978', 'author': 'Villadsen, J.', 'key': 'atypb10'} / Solution of Differential Equation Models by Polynomial Approximation by Villadsen, J. (1978)
10.1016/0009-2509(67)80074-5
10.1016/S1385-8947(98)00127-2
10.1137/1.9781611970425
10.1137/S0036144596301390
10.1016/S0142-727X(98)10042-5
{'volume-title': 'Nuclear Chemical Engineering', 'year': '1981', 'author': 'Benedict, M.', 'key': 'atypb16'} / Nuclear Chemical Engineering by Benedict, M. (1981)
Dostrovsky, I. and Epstein, M. "The Production of Stable Isotopes of Oxygen ." In Stable Isotopes, H.L. Schmidt, H. Forstel and K. Heinzinger (eds.), Elsevier Scientific, pp 693-702,1982.
{'volume-title': "Proceedings of the 1st World Congress of Nonlinear Analysts '92", 'author': 'Adomaitis, R.A.', 'key': 'atypb18'} / Proceedings of the 1st World Congress of Nonlinear Analysts '92 by Adomaitis, R.A.
10.1115/1.3239887
{'volume-title': "Proceedings of NOLCOS'92: Nonlinear Control System Design Symposium", 'author': 'Liaw, D.-C.', 'key': 'atypb20'} / Proceedings of NOLCOS'92: Nonlinear Control System Design Symposium by Liaw, D.-C.
{'volume-title': 'Control of Bifurcations and Routes to Chaos in Dynamical Systems', 'year': '1993', 'author': 'Wang, H.-O.', 'key': 'atypb21'} / Control of Bifurcations and Routes to Chaos in Dynamical Systems by Wang, H.-O. (1993)
10.1002/aic.690350102
10.1116/1.579300
{'volume-title': 'Introduction to Plasma Physics', 'year': '1980', 'author': 'Chen, F.F.', 'key': 'atypb24'} / Introduction to Plasma Physics by Chen, F.F. (1980)
10.1016/S0375-9601(98)00241-2
10.1109/TPS.1986.4316510

Dates

Type	When
Created	17 years, 4 months ago (March 29, 2008, 1:23 p.m.)
Deposited	5 months, 3 weeks ago (March 3, 2025, 11:45 p.m.)
Indexed	5 months, 2 weeks ago (March 5, 2025, 12:13 a.m.)
Issued	25 years, 7 months ago (Jan. 1, 2000)
Published	25 years, 7 months ago (Jan. 1, 2000)
Published Online	25 years, 7 months ago (Jan. 1, 2000)
Published Print	25 years, 7 months ago (Jan. 1, 2000)

Funders 0

None

BibTeX

@article{Adomaitis_2000, title={A Computational Framework for Boundary-Value Problem Based Simulations}, volume={74}, ISSN={1741-3133}, url={http://dx.doi.org/10.1177/003754970007400104}, DOI={10.1177/003754970007400104}, number={1}, journal={SIMULATION}, publisher={SAGE Publications}, author={Adomaitis, Raymond A. and Lin, Yi-hung and Chang, Hsiao-Yung}, year={2000}, month=jan, pages={28–38} }

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