Convergence of infinite element methods for scalar waveguide problems

Convergence of adaptive finite element methods for eigenvalue problems

In this article we prove convergence of adaptive finite element methods for second order elliptic eigenvalue problems. We consider Lagrange finite elements of any degree and prove convergence for simple as well as multiple eigenvalues under a minimal refinement of marked elements, for all reasonable marking strategies, and starting from any initial triangulation.

Numerical Methods for Scalar Convection-Dominated Problems

On the Convergence of Boundary Element Methods for Initial -neumann Problems for the Heat Equation

In this paper we study boundary element methods for initialNeumann problems for the heat equation. Error estimates for some fully discrete methods are established. Numerical examples are presented.

On the convergence of boundary element methods for initial-Neumann problems for the heat equation

In this paper we study boundary element methods for initialNeumann problems for the heat equation. Error estimates for some fully discrete methods are established. Numerical examples are presented.

Convergence of trajectories in infinite horizon optimization

In this paper, we investigate the convergence of a sequence of minimizing trajectories in infinite horizon optimization problems. The convergence is considered in the sense of ideals and their particular case called the statistical convergence. The optimality is defined as a total cost over the infinite horizon.