Schwarz method for dual contact problems

Schwarz Methods for a Preconditioned WOPSIP Method for Elliptic Problems

We construct and analyze non-overlapping Schwarz methods for a preconditioned weakly over-penalized symmetric interior penalty (WOPSIP) method for elliptic problems.

Acceleration of a Schwarz waveform relaxation method for parabolic problems

In this paper we generalize the Aitken-like acceleration method of the additive Schwarz algorithm for elliptic problems to the additive Schwarz waveform relaxation for parabolic problems. The domain decomposition is in space and time. The standard Schwarz waveform relaxation algorithm has a linear rate of convergence and low numerical efficiency. This algorithm is, however, friendly to cache us...

A Parallel Schwarz Method for Multiple Scattering Problems

Additive Schwarz Method for DG Discretization of Anisotropic Elliptic Problems

In the paper we consider a second order elliptic problem with discontinuous anisotropic coefficients defined on a polygonal region Ω . The problem is discretized by a Discontinuous Galerkin (DG) finite element method with triangular elements and piecewise linear functions. Our goal is to design and analyze an additive Schwarz method (ASM), see the book by Toselli and Widlund [4], for solving th...

On the Schwarz Alternating Method for Eigenvalue Problems

In this paper an analogue of the Schwarz alternating method is considered to nd a minimal eigenvalue and its corresponding eigenvector of generalized symmetric eigenvalue problem. The technique suggested is based on decomposition of the original domain into overlapping subdomains and on consideration of local eigenvalue problems in subdomains. Both multiplicative and additive variants of the me...