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An Adaptive MFD Method for the Obstacle Problem

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Numerical Mathematics and Advanced Applications 2011

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Abstract

We present an adaptive mimetic finite difference method for the approximate solution of variational inequalities. The adaptive strategy is based on a heuristic hierarchical type error indicator. Numerical experiments that validate the performance of the adaptive MFD method are also presented.

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References

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Author information

Authors and Affiliations

  1. MOX – Modelling and Scientific Computing - Dipartimento di Matematica “F. Brioschi”, Politecnico di Milano, Piazza Leonardo da Vinci 32, I-20133, Milano, Italy

    P. F. Antonietti & M. Verani

  2. Dipartimento di Matematica, Università di Milano, Via Saldini 50, I-20133, Milano, Italy

    L. Beirão da Veiga

Authors
  1. P. F. Antonietti
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  2. L. Beirão da Veiga
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  3. M. Verani
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Corresponding author

Correspondence to M. Verani .

Editor information

Editors and Affiliations

  1. , Department of Mathematics, University of Leicester, Leicester, LE!1 7RH, United Kingdom

    Andrea Cangiani

  2. , Department of Mathematics, University of Leicester, Leicester, LE1 7RL, United Kingdom

    Ruslan L. Davidchack

  3. , Department of Mathematics, University of Leicester, Leicester, LE1 7RH, United Kingdom

    Emmanuil Georgoulis

  4. , Department of Mathematics, University of Leicester, Leicester, LE1 7RH, United Kingdom

    Alexander N. Gorban

  5. , Department of Mathematics, University of Leicester, Leicester, LE1 7RH, United Kingdom

    Jeremy Levesley

  6. , School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, United Kingdom

    Michael V. Tretyakov

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Antonietti, P.F., da Veiga, L.B., Verani, M. (2013). An Adaptive MFD Method for the Obstacle Problem. In: Cangiani, A., Davidchack, R., Georgoulis, E., Gorban, A., Levesley, J., Tretyakov, M. (eds) Numerical Mathematics and Advanced Applications 2011. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33134-3_1

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