WIAS Preprint No. 1450, (2009)
Stable Crank--Nicolson discretisation for incompressible miscible displacement problems of low regularity
Authors
- Jensen, Max
- Müller, Rüdiger
ORCID: 0000-0003-2643-722X
2010 Mathematics Subject Classification
- 65M60 65M12 76S05
Keywords
- discontinuous Galerkin, low regularity, Crank-Nicolson
DOI
Abstract
In this article we study the numerical approximation of incompressible miscible displacement problems with a linearised Crank-Nicolson time discretisation, combined with a mixed finite element and discontinuous Galerkin method. At the heart of the analysis is the proof of convergence under low regularity requirements. Numerical experiments demonstrate that the proposed method exhibits second-order convergence for smooth and robustness for rough problems.
Appeared in
- Numerical Mathematics and Advanced Applications 2009, Part 2, G. Kreiss, P. Lötstedt, A. Målqvist, M. Neytcheva, eds., Springer, Heidelberg et al., pp. 469--477
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