Abstract | ||
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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. |
Year | DOI | Venue |
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2006 | 10.1007/978-3-540-34958-7_10 | PROCEEDINGS OF THE 15TH INTERNATIONAL MESHING ROUNDTABLE |
Keywords | Field | DocType |
projection method,finite element,variational method | Applied mathematics,Mathematical optimization,Interpolation error,Polygon mesh,Variational method,Computer science,Hessian matrix,Finite element method,Mesh node,Gravitational singularity | Conference |
Citations | PageRank | References |
1 | 0.42 | 6 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
K. Lipnikov | 1 | 521 | 57.35 |
Yuri Vassilevski | 2 | 13 | 2.53 |