Abstract
We consider several systems of PDEs and how block preconditioners can be formulated. Implementation of block preconditioners in Diffpack is in particular explained. We emphasize object-oriented design, where a standard simulator is developed and debugged before being extended with efficient block preconditioners in a derived class. Optimal preconditioners are applied to the Stokes problem, the mixed formulation of the Poisson equation, and the Bidomain model for the electrical activity in the heart.
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Mardal, KA., Sundnes, J., Langtangen, H.P., Tveito, A. (2003). Systems of PDEs and Block Preconditioning. In: Langtangen, H.P., Tveito, A. (eds) Advanced Topics in Computational Partial Differential Equations. Lecture Notes in Computational Science and Engineering, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18237-2_5
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DOI: https://doi.org/10.1007/978-3-642-18237-2_5
Publisher Name: Springer, Berlin, Heidelberg
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