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An adaptive finite element method for singular parabolic equations

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Summary.

We study the adaptive finite element method to solve singular parabolic equations of porous media type and of nonstationary infiltration. We first prove a posteriori error estimates that especially take into account the discretization and algebraic errors. Furthermore we propose a robust adaptive method and apply this method to saturated/unsaturated porous media flow in an aquifer coupled with a root extraction process.

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  1. Sonderforschungsbereich 256, Universität Bonn, Wegelerstrasse 6, 53115, Bonn, Germany

    Olga Wilderotter

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  1. Olga Wilderotter
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Correspondence to Olga Wilderotter.

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Mathematics Subject Classification (2000): 65N15, 65N30, 35K65, 76S05

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Wilderotter, O. An adaptive finite element method for singular parabolic equations. Numer. Math. 96, 377–399 (2003). https://doi.org/10.1007/s00211-003-0463-z

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  • DOI: https://doi.org/10.1007/s00211-003-0463-z

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