Title: Variational Mesh Adaptation
Speaker: Weizhang Huang, Department of Mathematics, University of Kansas
Abstract:
Mesh adaptation has become an indispensable tool in the numerical
solution of partial differential equations. With the variational
approach, mesh adaptation is viewed as a continuous process and
adaptive meshes are generated through a coordinate transformation
determined as the minimizer of an adaptation functional.
In this talk, a new variational method will be presented.
The two critical issues in mesh generation, mesh quality and
concentration, are taken into account in the development of
the method. Topics such as the measures of mesh geometry
and adaptation, the choice of the monitor function,
and error analysis, will also be addressed.