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Comput Visual Sci (2004) Computing and
Digital Object Identifier (DOI) 10.1007/s00791-004-0145-0
Visualization in Science
Regular article
On a modular architecture for finite element systems.
I. Sequential codes
Krzysztof Bana´s
´
Section of Applied Mathematics ICM, Cracow University of Technology, Warszawska 24, 31-155 Krakow, Poland
(e-mail: Krzysztof.Banas@.pl)
Received: 9 December 2002 / Accepted: 22 March 2003
Published online: 17 August 2004 – Springer-Verlag 2004
Communicated by: G. Wittum
Abstract. The paper discusses basic principles for the modu- information on the problem solved, the approximation used
lar design of sequential finite element codes. The emphasis and the finite element mesh.
is put on computational kernels, considering pre- and post- The attempts to define a new paradigm have continued
processing as separate programs. Four fundamental modules for at least ten years [13, 17, 27] and have recently intensi-
(subsystems) of computational kernels are identified for the fied (see e.g. articles in [3] and [16]). There are basically two
four main tasks: problem definition, approximation, mesh approaches that can be found in literature. The first of them
manipulation and linear system solution. Example interfaces are case studies of large, complex systems [5–8]. For such
between the four modules that can accommodate a broad systems it is necessary to introduce some kind of modular-
range of application areas, approximation methods, mesh ization of the program. Modular design
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