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Towards A Posteriori Error Estimators for Realistic Problems in Incompressible Miscible Displacement

In: Numerical Mathematics and Advanced Applications 2011

Author

Listed:
  • J. Chapman

    (Durham University)

  • M. Jensen

    (Durham University)

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.

Suggested Citation

  • J. Chapman & M. Jensen, 2013. "Towards A Posteriori Error Estimators for Realistic Problems in Incompressible Miscible Displacement," Springer Books, in: Andrea Cangiani & Ruslan L. Davidchack & Emmanuil Georgoulis & Alexander N. Gorban & Jeremy Levesley (ed.), Numerical Mathematics and Advanced Applications 2011, edition 127, pages 323-331, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-33134-3_35
    DOI: 10.1007/978-3-642-33134-3_35
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