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

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posted on 2023-06-08, 15:16 authored by John Chapman, Max Jensen
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.

History

Publication status

  • Published

Publisher

Springer

Page range

323-331

Pages

859.0

Book title

Numerical mathematics and advanced applications 2011: proceedings of ENUMATH 2011, the 9th European Conference on Numerical Mathematics and Advanced Applications, Leicester, September 2011

Place of publication

Berlin

ISBN

9783642331336

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Editors

Ruslan L Davidchack, Jeremy Levesley, Emmanuli Georgoulis, Michael V Tretyakov, Andrea Cangiani, Alexander N Gorban

Legacy Posted Date

2013-06-19

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