Stable Crank–Nicolson discretisation for incompressible miscible displacement problems of low regularity

Jensen, Max and Müller, Rüdiger (2010) Stable Crank–Nicolson discretisation for incompressible miscible displacement problems of low regularity. In: Kreiss, Gunilla, Lötstedt, Per, Målqvist, Axel and Neytcheva, Maya (eds.) Numerical mathematics and advanced applications 2009: proceedings of ENUMATH 2009, the 8th European Conference on Numerical Mathematics and Advanced Applications, Uppsala, July 2009. Springer, Heidelberg, pp. 469-477. ISBN 9783642117947

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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.

Item Type: Book Section
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0297 Numerical analysis
Depositing User: Max Jensen
Date Deposited: 19 Jun 2013 11:13
Last Modified: 19 Jun 2013 11:13
URI: http://srodev.sussex.ac.uk/id/eprint/45504

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