Selšuk Journal of Applied Mathematics

www.selcuk.edu.tr



 Selšuk Journal of
  Applied Mathematics

Winter-Spring, 2003
  Volume  4
  Number 1

 
Research Center of 
  Applied Mathematics


 SJAM Winter-Spring 2003, Volume 4 - Number 1

Object oriented finite element calculations using Maple

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
 

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.

 

Key words
finite element method, object oriented modeling
 

Mathematics Subject Classification (2000): 65N30, 68N19
 
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