We investigate a parabolic problem from the point of view of stability and approximation properties of increasing order mixed (in space) nite element methods. Previous estimates for the Raviart-Thomas projection are proven to be sharp. We analyze the eeects of mixed nite element discretization in space to present transient error estimates (for semidiscrete mixed nite element methods).

As part of the efforts for building a unified Inductive Databases (IDBs) framework, an important step would be to find a way to combine discovered local patterns from the data with global models of predictive nature. In this paper, we investigate the possibility of using bi-sets (local patterns) as features during classification. When searching for bi-sets from Boolean data, despite reasonable ...

A posteriori error estimates without generic constants can be obtained by a comparison of the finite element solution with a feasible function for the dual problem. A cheap computation of such functions via equilibration is well-known for scalar equations of second order. We simplify and modify the equilibration such that it can be applied to Maxwell’s equations and edge elements. The construct...

A posteriori error estimates without generic constants can be obtained by a comparison of the finite element solution with a feasible function for the dual problem. A cheap computation of such functions via equilibration is well-known for scalar equations of second order. We simplify and modify the equilibration such that it can be applied to Maxwell’s equations and edge elements. The construct...