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Robust Multi-Grid Methods: Proceedings of the Fourth GAMM-Seminar, Kiel, January 22 to 24,1988 (Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 23) (German Edition) - Softcover
Synopsis
In full multigrid methods for elliptic difference equations one works on a sequence of meshes where a number of pre- and/or postsmoothing steps are performed on each level. As is well known these methods can converge very fast on problems with a smooth solution and a regular mesh, but the rate of convergence can be severely degraded for problems with unisotropy or discontinuous coefficients unless some form of robust smoother is used. Also problems can arise with the increasingly coarser meshes because for some types of discretization methods, coercivity may be lost on coarse meshes and on massively parallel computers the computation cost of transporting information between computer processors devoted to work on various levels of the mesh can dominate the whole computing time. For discussions about some of these problems, see (11). Here we propose a method that uses only two levels of meshes, the fine and the coarse level, respec tively, and where the corrector on the coarse level is equal to a new type of preconditioner which uses an algebraic substructuring of the stiffness matrix. It is based on the block matrix tridiagonal structure one gets when the domain is subdivided into strips. This block-tridiagonal form is used to compute an approximate factorization whereby the Schur complements which arise in the recursive factorization are approximated in an indirect way, i. e.
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Robust Multigrid Methods (Notes on Numerical Fluid Mechanics): Proceedings of the Fourth GAMM-Seminar, Kiel, January 22 to 24,1988 (Notes on Numerical . and Multidisciplinary Design, 23, Band 23)
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Friedrich Vieweg & Sohn Verlagsgesellschaft mbH, 1989
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Robust Multi-Grid Methods: Proceedings of the Fourth GAMM-Seminar, Kiel, January 22 to 24,1988 (Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 23) (German Edition)
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Robust Multi-Grid Methods: Proceedings of the Fourth GAMM-Seminar, Kiel, January 22 to 24,1988 (Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 23) (German Edition)
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Robust Multi-Grid Methods : Proceedings of the Fourth GAMM-Seminar, Kiel, January 22 to 24,1988
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Robust Multi-Grid Methods
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Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH, 1989
ISBN 10: 3528080973
ISBN 13: 9783528080976
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Robust Multi-Grid Methods
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Vieweg+Teubner, Vieweg+Teubner Verlag Jan 1989, 1989
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ISBN 13: 9783528080976
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In full multigrid methods for elliptic difference equations one works on a sequence of meshes where a number of pre- and/or postsmoothing steps are performed on each level. As is well known these methods can converge very fast on problems with a smooth solution and a regular mesh, but the rate of convergence can be severely degraded for problems with unisotropy or discontinuous coefficients unless some form of robust smoother is used. Also problems can arise with the increasingly coarser meshes because for some types of discretization methods, coercivity may be lost on coarse meshes and on massively parallel computers the computation cost of transporting information between computer processors devoted to work on various levels of the mesh can dominate the whole computing time. For discussions about some of these problems, see (11). Here we propose a method that uses only two levels of meshes, the fine and the coarse level, respec tively, and where the corrector on the coarse level is equal to a new type of preconditioner which uses an algebraic substructuring of the stiffness matrix. It is based on the block matrix tridiagonal structure one gets when the domain is subdivided into strips. This block-tridiagonal form is used to compute an approximate factorization whereby the Schur complements which arise in the recursive factorization are approximated in an indirect way, i. e. 244 pp. Englisch. Seller Inventory # 9783528080976
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Robust Multi-Grid Methods
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Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH, 1989
ISBN 10: 3528080973
ISBN 13: 9783528080976
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Robust Multi-Grid Methods : Proceedings of the Fourth GAMM-Seminar, Kiel, January 22 to 24,1988
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - In full multigrid methods for elliptic difference equations one works on a sequence of meshes where a number of pre- and/or postsmoothing steps are performed on each level. As is well known these methods can converge very fast on problems with a smooth solution and a regular mesh, but the rate of convergence can be severely degraded for problems with unisotropy or discontinuous coefficients unless some form of robust smoother is used. Also problems can arise with the increasingly coarser meshes because for some types of discretization methods, coercivity may be lost on coarse meshes and on massively parallel computers the computation cost of transporting information between computer processors devoted to work on various levels of the mesh can dominate the whole computing time. For discussions about some of these problems, see (11). Here we propose a method that uses only two levels of meshes, the fine and the coarse level, respec tively, and where the corrector on the coarse level is equal to a new type of preconditioner which uses an algebraic substructuring of the stiffness matrix. It is based on the block matrix tridiagonal structure one gets when the domain is subdivided into strips. This block-tridiagonal form is used to compute an approximate factorization whereby the Schur complements which arise in the recursive factorization are approximated in an indirect way, i. e. Seller Inventory # 9783528080976
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Robust Multi-Grid Methods
Published by
Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH, 1989
ISBN 10: 3528080973
ISBN 13: 9783528080976
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Robust Multi-Grid Methods
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A robust preconditioner based on algebraic substructuring and two-level grids.- Adaptive multigrid Solution of the convection-diffusion equation on the DIRMU multiprocessor.- Finite volume multigrid Solutions of the two-dimensional incompressible Navier-Sto. Seller Inventory # 4867189
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