Numerical solution of variational inequalities of obstacle type associated with second-order elliptic operators is considered. Iterative methods based on the domain decomposition approach are hereâ€¦ (More)

The solution of two optimal shape design problems related to industrial CFD using genetic algorithms are considered. The first one is a single objective optimization problem, where the geometry of aâ€¦ (More)

Domain decomposition algorithms based on the Schwarz alternating method are applied to the numerical solution of a singularly perturbed semilinear elliptic problem. The emphasis is given to theâ€¦ (More)

Parallel multi-level algorithms combining a time discretization and an overlapping domain decomposition technique are applied to the numerical solution of singularly perturbed parabolic problems. Twoâ€¦ (More)

Schwarz domain decomposition methods are developed for the numerical solution of singularly perturbed elliptic problems. Three variants of a two-level Schwarz method with interface subproblems areâ€¦ (More)

Qualitative properties of matrix splitting methods for linear systems with tridiagonal and block tridiagonal Stieltjes-Toeplitz matrices are studied. Two particular splittings, the so-calledâ€¦ (More)