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Titlebook: Efficient Solutions of Elliptic Systems; Proceedings of a GAM Wolfgang Hackbusch Conference proceedings 1984 Springer Fachmedien Wiesbaden

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Wolf-Dietrich Tretsch,Renst Zerschs. For the first algorithm we transform the original problem into an equation Lp = g involving a continuous, positive definite, symmetric linear operator L. We apply a conjugate gradient algorithm to this equation. The evaluation of Lp is done approximately using a multigrid algorithm. In the second
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https://doi.org/10.1007/978-3-663-14807-4The 3-D exterior Stokes’ boundary value problem is investigated. The classical hydrodynamical potential theory is developed up to a boundary element method, where the algebraic system is quickly solved by a two-level multigrid method. The results of numerical test calculations are discussed.
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,On a Multigrid Method to Solve the Integral Equations of 3-D Stokes’ Flow,The 3-D exterior Stokes’ boundary value problem is investigated. The classical hydrodynamical potential theory is developed up to a boundary element method, where the algebraic system is quickly solved by a two-level multigrid method. The results of numerical test calculations are discussed.
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The Direct Solution of a Generalized Biharmonic Equation on a Disk,he computational work is essentially proportional to the number of grid points. This work is motivated by the usefulness of such a solver in the numerical study of a more complicated model equation describing nonlinear pattern formation near the onset of Rayleigh-Benard convection [1].
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Multi-Grid Schemes for Incompressible Flows,tor and the pressure gradients as dependent variables. A Multi-Grid scheme for the system of equations is proposed. The algebraic convergence rate of the new (PGA-MG) scheme is compared to the convergence of the (DGS-MG) scheme of Brandt and Dinar [1]. As test problems we use either a smooth test ca
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