Paper Info
Title
Anisotropic Mesh Adaptation For Solution Of Finite Element Problems Using Hierarchical Edge-Based Error Estimates
Abstract
We present a new technology for generating meshes minimizing the interpolation and discretization errors or their gradients. The key element of this methodology is construction of a space metric from edge-based error estimates. For a mesh with N-h triangles, the error is proportional to N-h(-1) and the gradient of error is proportional to N-h(-1/2) which are the optimal asymptotics. The methodology is verified with numerical experiments.
Year
DOI
Venue
2009
10.1007/978-3-642-04319-2_34
PROCEEDINGS OF THE 18TH INTERNATIONAL MESHING ROUNDTABLE
Keywords
Field
DocType
finite element
Discretization,Applied mathematics,Interpolation error,Polygon mesh,Interpolation,Finite element method,Anisotropic meshes,Geometry,Asymptotic analysis,Mathematics
Conference
Citations 
PageRank 
References 
2
0.52
3
Authors
3
Name
Order
Citations
PageRank
Abdellatif Agouzal1114.98
K. Lipnikov252157.35
Yuri V. Vassilevski39114.75