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Designing a Flexible Software Tool for RBF Approximations Applied to PDEs
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology.
2010 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

This paper aims at addressing how to design a flexible software for RBF-based numerical solution of partial differential equations (PDEs). In the process, object-oriented analysis and design (OOAD) approach combined with feature modeling, is adopted to construct object models of PDE solvers. This project was mplemented in Fortran 90, emulating object oriented constructs by encapsulating particular data structures and subroutines in modules to represent classes.

The separation of mathematical domains and numerical domains as well as the introduction of the workflow manager and operations gives a significant flexibility and extendability for the software. For illustration, a solver for Dam seepage problem is constructed with the new design, compared with the one by the pre-existing reference code.

Place, publisher, year, edition, pages
2010.
Series
IT ; 10 058
Identifiers
URN: urn:nbn:se:uu:diva-133631OAI: oai:DiVA.org:uu-133631DiVA, id: diva2:369742
Uppsok
Technology
Supervisors
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Available from: 2010-11-11 Created: 2010-11-11 Last updated: 2010-11-11Bibliographically approved

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Citation style
  • apa
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