Abstract
In this chapter we address an object-oriented strategy for the development of software solving systems of partial differential equations. The proposed development strategy encourages heavy reuse of modules capable of solving the involved subproblems. Using class inheritance for successive refinement of the involved solvers, the complexity of the overall model is increased stepwise, layer by layer. In addition to the obvious advantage of code reuse and modular testing, this approach allows the developer to pull the pieces apart at any time for individual verification.
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References
E. Arge, A. M. Bruaset, P. В. Calvin, J. F. Kanny, H. P. Langtangen, and C. T. Miller. On the efficiency of C++ in scientific computing. In M. Dæhlen and A. Tveito, editors, Numerical Methods and Software Tools in Industrial Mathematics, pages 93–119. Birkhäuser, 1997.
S. Balay, W. Gropp, L. C. McInnes, and B. F. Smith. Efficient management of parallelism in object-oriented numerical software libraries. In E. Arge, A. M. Bruaset, and H. P. Langtangen, editors, Modern Software Tools for Scientific Computing, pages 163–202. Birkhäuser, 1997.
J. J. Barton and L. R. Nackman. Scientific and Engineering C++. An Introduction with Advanced Techniques and Examples. Addison-Wesley, 1994.
R. Beck, B. Erdman, and R. Roitzsch. An object-oriented adaptive finite element code: Design issues and applications in hyperthermia treatment planning. In E. Arge, A. M. Bruaset, and H. P. Langtangen, editors, Modern Software Tools for Scientific Computing, pages 105–124. Birkhäuser, 1997.
A. M. Bruaset and H. P. Langtangen. A comprehensive set of tools for solving partial differential equations; Diffpack. In M. Dæhlen and A. Tveito, editors, Numerical Methods and Software Tools in Industrial Mathematics,pages 63–92. Birkhäuser, 1997.
X. Cai, B. F. Nielsen, and A. Tveito. An analysis of a preconditioner for the discretized pressure equation arising in reservoir simulation. Preprint 1995–4, Department of Informatics, University of Oslo, 1995. (Submitted for publication).
Diffpack World Wide Web home page. URL: http://www.oslo.sintef.no./diffpack.
K. Eriksson, D. Estep, P. Hansbo and C. Johnson. Computational Differential Equations. Studentlitteratur (Sweden) and Cambridge University Press (UK), 1996.
FEMLAB World Wide Web home page. URL: http://www.math.chalmers.se /Research/Femlab.
E. J. Holm and H. P. Langtangen. A unified mesh refinement technique with applications to porous media flow, 1997. (Submitted for publication).
E. J. Holm and H. P. Langtangen A unified model for injection molding, 1997. (Journal paper in preparation).
PETSc World Wide Web home page. URL: http://www.mcs.anl.gov/petsc/petsc.html.
M. Metcalf and J. Reid. Fortran 90 Explained. Oxford Science Publications, 1992.
G. Nelissen and P. F. Vankeirsbilck. Electrochemical modelling and software genericity. In E. Arge, A. M. Bruaset, and H. P. Langtangen, editors, Modern Software Tools for Scientific Computing,pages 81–104. Birkhäuser, 1997.
B. F. Nielsen and A. Tveito. On the approximation of the solution of the pressure equation by changing the domain. SIAM J. Appl. Math., 57:15–33, 1997.
J. R. Rice and R. F. Boisvert. From scientific software libraries to problem-solving environments. IEEE Comp. Sci. & Engrg., 3:44–53, 1996.
B. Stroustrup. The C++ Programming Language. Addison-Wesley, 2nd edition, 1992.
M. Thuné, E. Mossberg, P. Olsson, J. Rantakokko, K. Åhlander, and K. Otto. Object-oriented construction of parallel PDE solvers. In E. Arge, A. M. Bruaset, and H. P. Langtangen, editors, Modern Software Tools for Scientific Computing, pages 203–226. Birkhäuser, 1997.
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Bruaset, A.M., Holm, E.J., Langtangen, H.P. (1997). Increasing the Efficiency and Reliability of Software Development for Systems of PDEs. In: Arge, E., Bruaset, A.M., Langtangen, H.P. (eds) Modern Software Tools for Scientific Computing. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1986-6_11
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DOI: https://doi.org/10.1007/978-1-4612-1986-6_11
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7368-4
Online ISBN: 978-1-4612-1986-6
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