Title
Analysis Of Hessian Recovery Methods For Generating Adaptive Meshes
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.
Year
DOI
Venue
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. Lipnikov152157.35
Yuri Vassilevski2132.53