A finite element multigrid preconditioner for Chebyshev–collocation methods

Multilevel additive Schwarz preconditioner for nonconforming mortar finite element methods

Mortar elements form a family of special non-overlapping domain decomposition methods which allows the coupling of different triangulations across subdomain boundaries. We discuss and analyze a multilevel preconditioner for mortar finite elements on nonmatching triangulations. The analysis is carried out within the abstract framework of additive Schwarz methods. Numerical results show a perform...

A Parallel Algebraic Multigrid Preconditioner Using Algebraic Multicolor Ordering for Magnetic Finite Element Analyses

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Generic programming and algebraic multigrid for stabilized finite element methods

Finite Element Methods for Convection Diffusion Equation

This paper deals with the finite element solution of the convection diffusion equation in one and two dimensions. Two main techniques are adopted and compared. The first one includes Petrov-Galerkin based on Lagrangian tensor product elements in conjunction with streamlined upwinding. The second approach represents Bubnov/Petrov-Galerkin schemes based on a new group of exponential elements. It ...

Multigrid on the Interface for Mortarmixed Finite Element Methods

We consider mixed nite element approximations of second order elliptic equations on domains that can be described as a union of sub-domains or blocks. We assume that the subdomain grids are locally deened and need not match across the block boundaries. Specially chosen mortar nite element spaces are introduced on the interfaces for approximating the scalar variable (pressure). The mortars also ...