Abstract
This chapter explains the need for mixed finite element methods and the algorithmic ingredients of this discretization approach. Various Diffpack tools for easy programming of mixed methods on unstructured grids in 2D and 3D are described. As model problems for exemplifying the formulation and implementation of mixed finite elements we address the Stokes problem for creeping viscous flow and the system formulation of the Poisson equation. Efficient solution of the linear systems arising from mixed finite elements is treated in the chapter on block preconditioning.
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Mardal, KA., Langtangen, H.P. (2003). Mixed Finite Elements. 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_4
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DOI: https://doi.org/10.1007/978-3-642-18237-2_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-01438-6
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