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A Posteriori Error Estimates for Axisymmetric and Nonlinear Problems

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Abstract

We propose and examine the primal and dual finite element method for solving an axially symmetric elliptic problem with mixed boundary conditions. We derive an a posteriori error estimate and generalize the method used for a nonlinear elliptic problem. Finally, an a posteriori error estimate for a nonlinear parabolic problem based on the concept of hierarchical finite element basis functions is introduced.

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Authors and Affiliations

  1. Mathematical Institute, Academy of Sciences, Žitná 25, CZ-115 67 Praha 1, Czech Republic

    Michal Křížek, Jan Němec & Tomáš Vejchodský

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  1. Michal Křížek
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  2. Jan Němec
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  3. Tomáš Vejchodský
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Křížek, M., Němec, J. & Vejchodský, T. A Posteriori Error Estimates for Axisymmetric and Nonlinear Problems. Advances in Computational Mathematics 15, 219–236 (2001). https://doi.org/10.1023/A:1014234911830

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