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Selçuk Journal
of
Applied Mathematics
Winter-Spring, 2003
Volume 4
Number 1
Research Center
of
Applied Mathematics
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SJAM
Winter-Spring 2003, Volume 4 - Number 1
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Object oriented finite
element calculations using Maple
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Dmytro Chibisov, Victor G. Ganzha, and Christoph Zenger |
Institute of Informatics, Technical University of Munich,
Garching 85748,
Boltzmannstr. 3, Germany;
Email: chibisov@in.tum.de ,
ganzha@in.tum.de ,
zenger@in.tum.de
Received: June 6, 2003
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Summary
Modern Computer Algebra Systems (CAS), such as Maple or
Mathematica, with their symbolic facilities and
visualization possibilities are powerful tools to design data
structures and algorithms used in numerical simulation, with
significantly lower costs compared to straightforward
implementation in ''real'' programming languages, such as, for
example, C or Java. The present paper shows how the CAS Maple can
be used to design finite element software using linear and
hierarchical bases. As a computational example the two-dimensional
Poisson-equation with Dirichlet boundary conditions is presented. |
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Key
words
finite element method, object oriented modeling
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Mathematics Subject Classification (2000): 65N30, 68N19
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Article
in PS format (6712 kb) |
Article
in ZIP format (672 kb) |
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