Hostname: page-component-745bb68f8f-hvd4g Total loading time: 0 Render date: 2025-02-05T23:11:23.120Z Has data issue: false hasContentIssue false
  • English
  • Français

Object oriented design philosophy for scientific computing

Published online by Cambridge University Press:  15 October 2002

Philippe R.B. Devloo  and
Gustavo C. Longhin
Philippe R.B. Devloo
Affiliation:
Faculdade de Engenharia Civil, UNICAMP, Brazil. [email protected].
Gustavo C. Longhin
Affiliation:
Faculdade de Engenharia Civil, UNICAMP, Brazil. [email protected].
Get access

Abstract

This contribution gives an overview of current research in applying object oriented programming to scientific computing at the computational mechanics laboratory (LABMEC) at the school of civil engineering – UNICAMP. The main goal of applying object oriented programming to scientific computing is to implement increasingly complex algorithms in a structured manner and to hide the complexity behind a simple user interface. The following areas are current topics of research and documented within the paper: hp-adaptive finite elements in one-, two- and three dimensions with the development of automatic refinement strategies, multigrid methods applied to adaptively refined finite element solution spaces and parallel computing.

Keywords

Finite element methodobject oriented programmingadaptivitymultigridsubstructuring.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 36 , Issue 5: Special issue on Programming , September 2002 , pp. 793 - 807
Copyright
© EDP Sciences, SMAI, 2002

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Ivo Babuska Ahmed, K. Noor, Quality assessment and control of finite element solutions. Finite Eleme. Anal. Des. 3 (1987) 1-26.
W. Bangerth, Using modern features of C++ for adaptive finite element methods: Dimension-independent programming in deal.II, in Proceedings of the 16th IMACS World Congress 2000, Lausanne, Switzerland, 2000, M. Deville and R. Owens Eds. (2000). Document Sessions/118-1.
R. Barrett, M. Berry, T.F. Chan, F. Demmel, J. Donato, J. Dongarra, V. Eijkhout, R. Pozo, C. Romine and H. van der Vorst, Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods. SIAM (1994).
C.M.A.A. Bravo, Sobre a implementação da técnica hp-adaptativa tri-dimensional para elementos finitos. Ph.D. thesis, Faculdade de Engenharia Mecânica, UNICAMP (2000).
C.M.A.A. Bravo, P.R.B. Devloo and R. Pavanello, Sobre a implementação do refinamento h-p in CILAMCE99 Congresso Ibero Latino Americano de Metodos Computacionais para Engenharia (1999) 1-21.
B. Cockburn, G. Kanschat, I. Perugia and D. Schötzau, Superconvergence of the local discontinuous galerkin method for elliptic problems on cartesian grids. Technical Report 2000/71 (2000).
Demkowicz, L., Devloo, P.R.B. and On, J.T. Oden an h-type mesh refinement strategy based on minimization of interpolation errors. Comput. Methods Appl. Mech. Engrg. 1-2 (1986) 63-87. CrossRef
Devloo, P.R.B., A three-dimensional adaptive finite element strategy. Comput. Structures 38 (1991) 121-130. CrossRef
P.R.B. Devloo, On the development of a finite element program based on the object oriented programming philosophy, in Proc. First Annual Object-Oriented Numerics Conference, Corvallis, OR, USA (1993) 183-203. Object Oriented Numerics Conference, Rogue Wave Software, Inc.
Devloo, P.R.B., PZ: An object oriented environment for scientific programming. Comput. Methods Appl. Mech. Engrg. 150 (1997) 133-153. CrossRef
P.R.B. Devloo and J.S.R.F. Alves, On the development of a finite element program based on the object oriented programming filosophy, in Numer. Methods Engrg. '92, Ch. Hirsch, O.C. Zienkiewicz and E. O nate Eds., Elsevier, Brussels, Belgium (1992) 39-42. First European Conference on Numerical Methods in Engineering, Elsevier.
Devloo, P.R.B., Oden, J.T. and Pattani, P., An hp-adaptive finite element method for the numerical simulation of compressible flow. Comput. Methods Appl. Mech. Engrg. 70 (1988) 203-235. CrossRef
P.R.B. Devloo and E.C. Rylo, Implementação da técnica de subestruturação no ambiente de elementos finitos pz. XXII Iberian Latin-American Congress on Computational Methods in Engineering (2001).
Forde, B.W.R., Foschi, R.O. and Stiemer, S.F., Object-oriented finite element analysis. Comput. Structures 34 (1990) 355-374. CrossRef
T.J. Liszka, C.A.M. Duarte and O.N. Hamzeh, Hp-meshes method for dynamic fracture propagation. The computational Mechanics Company, Inc. (COMCO) (1999).
G.C. Longhin and Ph.R.B. Devloo, An object oriented multi-threaded multi-frontal solver. XXII Iberian Latin-American Congress on Computational Methods in Engineering (2001).
Mackie, R.I., Object oriented programming of the finite element method. Internat. J. Numer. Methods Engrg. 35 (1992) 425-436. CrossRef
M.M.L. Santana and P.R.B. Devloo, Object oriented matrix classes. AIMETA Joint conference of Italian group of Comput. mech. CILAMCE (1996) 325-328.
T. Zimmermann and Y. Dubois-Pelerin, The object-oriented approach to finite elements: concepts and implementations. Proc. of the First European Conference on Numer. Methods Engrg., Brussels (1992) 865-870.