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- Maksymilian Dryja, Olof B. Widlund
- SIAM J. Scientific Computing
- 1994

Numerical experiments have shown that two-level Schwarz methods often perform very well even if the overlap between neighboring subregions is quite small. This is true to an even greater extent for aâ€¦ (More)

- Axel Klawonn, Olof B. Widlund, Maksymilian Dryja
- SIAM J. Numerical Analysis
- 2002

In this paper, certain iterative substructuring methods with Lagrange multipliers are considered for elliptic problems in three dimensions. The algorithms belong to the family of dual{ primal FETIâ€¦ (More)

Multilevel Schwarz methods are developed for a conforming finite element approximation of second order elliptic problems. We focus on problems in three dimensions with possibly large jumps in theâ€¦ (More)

Domain decomposition methods without overlapping for the approximation of parabolic problems are considered. Two kinds of methods are discussed. In the rst method systems of algebraic equationsâ€¦ (More)

1. Introduction. In this paper, an iterative substructuring method with La-grange multipliers is proposed for discrete problems arising from approximations of elliptic problem in two dimensions onâ€¦ (More)

An additive variant of the Schwarz alternating method is discussed. A general framework is developed, which is useful in the design and analysis of a variety of domain decomposition methods as wellâ€¦ (More)

- Petter E Bjjrstad, Maksymilian Dryja, +4 authors Olof B. Widlund
- 1997

1.1 Introduction This chapter develops two additive Schwarz methods with new coarse spaces. The methods are designed for elliptic problems in 2 and 3 dimensions with discontinuous coeecients. Theâ€¦ (More)

- Maksymilian Dryja, Juan Galvis, Marcus Sarkis
- J. Complexity
- 2007

A discontinuous Galerkin (DG) discretization of Dirichlet problem for second-order elliptic equations with discontinuous coefficients in 2-D is considered. For this discretization, balancing domainâ€¦ (More)

In the first part of the paper, we introduce an overlapping mortar finite element methods for solving two-dimensional elliptic problems discretized on overlapping non-matching grids. We prove anâ€¦ (More)

- Maksymilian Dryja, Marcus Sarkis
- Comput. Meth. in Appl. Math.
- 2010

The second order elliptic problem with highly discontinuous coefficients is considered. The problem is discretized by two methods: 1) a continuous finite element method (FEM) and 2) a compositeâ€¦ (More)