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Cite Details

Konstantin Lipnikov and Yuri Vasilevski, "Analysis of Hessian recovery methods for generating adaptive meshes", in Proceedings of the 15th International Meshing Roundtable, Birmingham, AL, September 2006, pp. 163-171, 2006

Abstract

We study adaptive meshes which are quasi-uniform in a metric generated by the Hessian of a P1 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.

BibTeX Entry

@inproceedings{lipnikov-2006-hessian,
author = {Konstantin Lipnikov and Yuri Vasilevski},
title = {Analysis of Hessian recovery methods for generating adaptive meshes},
year = {2006},
booktitle = {Proceedings of the 15th International Meshing Roundtable, Birmingham, AL, September 2006},
pages = {163-171}
}