Solving Elliptic Partial Differential Equations with Concepts

Abstract

Concepts is a set of classes written in C++ which allow solving elliptic partial differential equations using various methods. Available are hp-FEM, DGFEM and BEM (not currently released under GPL). More...

Interesting Pages

1. Terse introduction into mathematical ideas and classes in Concepts.
2. Tutorials: well documented example programs demonstrating how to use the library to solve specific problems.
3. Modules: Basic modules of Concepts like geometry, solvers, bilinear and linear forms are described.
4. The pages on namespaces and the alphabetic list of the classes of the library are good entry points to find something
5. The list of external libraries (linear solver and eigensolvers) with interfaces in Concepts.
6. History and Authors of Concepts

References

1. Christian Lage, Softwareentwicklung zur Randelementmehtode: Analyse und Entwurf effizienter Techniken, Dissertation Christian-Albrechts-Universität, Kiel, 1995.
2. Christian Lage, Concept Oriented Design of Numerical Software, SAM report 98-07.
3. Philipp Frauenfelder and Christian Lage, Concepts---An Object-Oriented Software Package for Partial Differential Equations, M2AN 36 Nr. 5, 2002, doi:1051/m2an:2002036.
4. Gregor Schmidlin, Fast Solution Algorithms for Integral Equations in R³, Dissertation 15016 ETH Zurich, 2003.

All references in a BibTeX file.

Author:

Philipp Frauenfelder, 2004