GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
The interface probing technique in domain decomposition
SIAM Journal on Matrix Analysis and Applications
SIAM Journal on Scientific and Statistical Computing
A flexible inner-outer preconditioned GMRES algorithm
SIAM Journal on Scientific Computing
A Note on Preconditioning for Indefinite Linear Systems
SIAM Journal on Scientific Computing
Computer Solution of Large Sparse Positive Definite
Computer Solution of Large Sparse Positive Definite
Accuracy and Stability of Numerical Algorithms
Accuracy and Stability of Numerical Algorithms
Reducing the bandwidth of sparse symmetric matrices
ACM '69 Proceedings of the 1969 24th national conference
Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing
SIAM Journal on Scientific Computing
Rounding Errors in Algebraic Processes
Rounding Errors in Algebraic Processes
Numerical Approximation of Partial Differential Equations
Numerical Approximation of Partial Differential Equations
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We describe some features of a three-dimensional numerical simulator currently under development for studying water physico-chemical properties during the flooding of hydroelectric plants reservoirs. The work is sponsored by the Brazilian Electric Energy National Agency (ANEEL) and conducted with Furnas Centrais Elétricas S. A., the leading Brazilian power utility company. An overview of the simulator requirements is given. The mathematical model, the software modules, and engineering solutions are briefly discussed, including the finite element based transport module. We compare methods, iterative methods and preconditioners used to solve the sparse linear systems which arise from the discretization of three-dimensional partial differential equations.