A compiler approach for generating low-level computer code from high-level input for discontinuous Galerkin finite element forms is presented. The input language mirrors convention...
A new way of devising numerical methods is introduced whose distinctive feature is the computation of a finite element approximation only in a polyhedral subdomain D of the origina...
We study preconditioners for the iterative solution of the linear systems arising in the implicit time integration of the compressible Navier-Stokes equations. The spatial discreti...
In this paper we introduce and analyze two augmented mixed finite element methods for a velocity-pressure-stress formulation of the stationary Stokes equations. Our approach, which...
Leonardo E. Figueroa, Gabriel N. Gatica, Antonio M...
We use a Hierarchical Partition of Unity Finite Element Method (H-PUFEM) to represent and analyse the non-rigid deformation fields involved in multidimensional image registration...