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Object oriented design has proven itself as a powerful tool in the field of scientific computing. Several software packages, libraries and toolkits exist, in particular in the FEM arena that follow this design methodology providing extensible, reusable, and flexible software while staying competitive to traditionally designed point tools in terms of efficiency. However, the common approach to identify classes is to turn data structures and algorithms of traditional implementations into classes such that the level of abstraction is essentially not raised. In this paper we discuss an alternative way to approach the design challenge which we call “concept oriented design”. We apply this design methodology to Petrov-Galerkin methods leading to a class library for both, boundary element methods (BEM) and finite element methods (FEM). We show as a particular example the implementation of -FEM using the library with special attention to the handling of inconsistent meshes.
@article{M2AN_2002__36_5_937_0,
author = {Frauenfelder, Philipp and Lage, Christian},
title = {Concepts-An object-oriented software package for partial differential equations},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {937--951},
publisher = {EDP-Sciences},
volume = {36},
number = {5},
year = {2002},
doi = {10.1051/m2an:2002036},
zbl = {1032.65128},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2002036/}
}
TY - JOUR AU - Frauenfelder, Philipp AU - Lage, Christian TI - Concepts-An object-oriented software package for partial differential equations JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2002 SP - 937 EP - 951 VL - 36 IS - 5 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/m2an:2002036/ DO - 10.1051/m2an:2002036 LA - en ID - M2AN_2002__36_5_937_0 ER -
%0 Journal Article %A Frauenfelder, Philipp %A Lage, Christian %T Concepts-An object-oriented software package for partial differential equations %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2002 %P 937-951 %V 36 %N 5 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/m2an:2002036/ %R 10.1051/m2an:2002036 %G en %F M2AN_2002__36_5_937_0
Frauenfelder, Philipp; Lage, Christian. Concepts-An object-oriented software package for partial differential equations. ESAIM: Mathematical Modelling and Numerical Analysis , Special issue on Programming, Tome 36 (2002) no. 5, pp. 937-951. doi: 10.1051/m2an:2002036
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