Titlebook: Incomplete Decomposition (ILU) — Algorithms, Theory, and Applications; Proceedings of the E Wolfgang Hackbusch,Gabriel Wittum Conference pr

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Preconditioning of Blockstructured Linear Systems with Block ILU on Parallel Computers,ential equations. We describe a procedure to partition the matrices into subsystems that can be easily, efficiently and in a numerically stable way solved on a parallel computer. The partitioning is based on low rank modifications which generalize the approaches used in Divide and Conquer methods. T

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Quadrant Tridiagonal Partitioning and Preconditioned Conjugate Gradient Method for Solving Ellipticiate for paralell implementation. Here we show that in case of second order elliptic problem, the classical, color and multicolor ordering technique [4] are applicable for further paralellization of QDP iterative methods. Moreover we give a direct algorithm with arithmetical complexity O(n) for solv

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The use of sparse matrix techniques for solving the incompressible Navier-Stokes equations,n using Newton or Picard iteration a system of linear equations of the form Ax = b has to be solved several times. Some sparse matrix techniques are introduced to solve these matrix equations..Various computations of the laminar flow over a backward facing step are made. We do not take advantage of

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The Construction of the Interpolation Operator with I L U Decomposition for Algebraic Positive Defis which are also positive definite.Ue obtain these results using a special construction of the interpolation operator based on Gaussian elimination on a sub-matrix of the original system matrix.At the end of the paper we make also some remarks concerning the symmetric indefinite systems.

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On ordering strategies in a multigrid algorithm,ete divergence-free finite elements we get positive definite stiffness matrices, which allow the use of standard smoothers such as Jacobi-, Gau?-Seidel- and ILU-relaxation. For different ordering strategies (finite element two level ordering, geometrical ordering (row- and linewise), Cuthill-McKee-a