Logistic Dirichlet problems with discontinuous coefficients

Some developments on Dirichlet problems with discontinuous coefficients ( Praha , december 2008 )

Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients

Elliptic partial differential equations (PDEs) with discontinuous diffusion coefficients occur in application domains such as diffusions through porous media, electro-magnetic field propagation on heterogeneous media, and diffusion processes on rough surfaces. The standard approach to numerically treating such problems using finite element methods is to assume that the discontinuities lie on th...

On the Iterative Methods for Linear . Problems with Discontinuous Coefficients

This paper is devoted to the investigation of the investigation of the convergence of iterative methods for solving boundary va.!ue problems with discontinuous coeficients. The dependence of the rate" of convergence on the size of the discontinuity of coefficients is ana.!yzed for three popular genera.! iterative methods. A new criterion on the applicability of such methods is proposed and inve...

A mortar element method for elliptic problems with discontinuous coefficients

This paper proposes a mortar finite element method for solving the two-dimensional second-order elliptic problem with jumps in coefficients across the interface between two subregions. Non-matching finite element grids are allowed on the interface, so independent triangulations can be used in different subregions. Explicitly realizable mortar conditions are introduced to couple the individual d...

The Dirichlet problem for non - divergence parabolic equations with discontinuous in time coefficients

The Dirichlet problem for non-divergence parabolic equations with discontinuous in time coefficients.