A multilevel method with overcorrection by aggregation for solving discrete elliptic problems
Journal of Computational and Applied Mathematics - Special issue on iterative methods for the solution of linear systems
Iterative solution methods
The use of pointwise interpolation in domain decomposition methods with nonnested meshes
SIAM Journal on Scientific Computing
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
The method of subspace corrections
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. VII: partial differential equations
An Aggregation-Based Domain Decomposition Preconditioner for Groundwater Flow
SIAM Journal on Scientific Computing
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Parallel High-Performance Computing in Geomechanics with Inner/Outer Iterative Procedures
ICCS '02 Proceedings of the International Conference on Computational Science-Part III
Large scale parallel FEM computations of far/near stress field changes in rocks
Future Generation Computer Systems
Large scale parallel FEM computations of far/near stress field changes in rocks
Future Generation Computer Systems
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This paper addresses the use of space decomposition preconditioners for the numerical solution of boundary value problems. As special cases, it deals with the displacement decomposition (DiD) and overlapping domain decomposition (DD) preconditioners. A special attention is also devoted to inexact solution of sub-problems and the use of non-symmetric preconditioners. In these cases, the generalized preconditioned congugate gradient method is shown to be efficient to use. The considered methods are applied to the solution of selected model problems as well as to a large scale problem arising from assessment of stress changes induced by mining activities.