Multigrid methods for unstructured grids

Prof. Jinchao Xu

Department of Mathematics, Penn State University

A number of techniques will be presented in this talk on how a finite element equation posed on an unstructured grid in two or three dimensions can be solved within optimal computational complexity by special multigrid methods such as nonnested multigrid methods, agglomeration methods and auxiliary space methods. Elliptic problems including convection dominated equations will be discussed. Some engineering applications will also be addressed.