Towards a posteriori error estimators for realistic problems in incompressible miscible displacement

Chapman, John and Jensen, Max (2013) Towards a posteriori error estimators for realistic problems in incompressible miscible displacement. In: Cangiani, Andrea, Davidchack, Ruslan L, Georgoulis, Emmanuli, Gorban, Alexander N, Levesley, Jeremy and Tretyakov, Michael V (eds.) Numerical mathematics and advanced applications 2011: proceedings of ENUMATH 2011, the 9th European Conference on Numerical Mathematics and Advanced Applications, Leicester, September 2011. Springer, Berlin, pp. 323-331. ISBN 9783642331336

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Abstract

The incompressible miscible displacement problem has attracted interest in recent years as it models economically important activities such as oil recovery and groundwater flow. It is important that numerical simulations can accurately model the types of problems seen in industry. We discuss a posteriori finite element indicators for the incompressible miscible displacement problem and propose an extension to a mixed-discontinuous Galerkin scheme. Furthermore we highlight some physically realistic scenarios not covered by the existing analysis and outline the theory of weighted spaces required to address them.

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 13:09
Last Modified: 19 Jun 2013 13:09
URI: http://sro.sussex.ac.uk/id/eprint/45509
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