Abstract
We study adaptive meshes which are quasi-uniform in a metric generated by the Hessian of a P 1 finite element function. We consider three most efficient methods for recovering this Hessian, one variational method and two projection methods. We compare these methods for problems with anisotropic singularities to show that all Hessian recovery methods result in acceptable adaptive meshes although the variational method gives a smaller error.
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Lipnikov, K., Vassilevski, Y. (2006). Analysis of Hessian Recovery Methods for Generating Adaptive Meshes. In: Pébay, P.P. (eds) Proceedings of the 15th International Meshing Roundtable. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34958-7_10
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DOI: https://doi.org/10.1007/978-3-540-34958-7_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-34957-0
Online ISBN: 978-3-540-34958-7
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