Author | Zumbusch, Gerhard. author |
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Title | Parallel Multilevel Methods [electronic resource] : Adaptive Mesh Refinement and Loadbalancing / by Gerhard Zumbusch |
Imprint | Wiesbaden : Vieweg+Teubner Verlag, 2003 |
Connect to | http://dx.doi.org/10.1007/978-3-322-80063-3 |
Descript | 216 p. 22 illus. online resource |
1 Introduction -- 2 Multilevel Iterative Solvers -- 2.1 Direct and Iterative Solvers -- 2.2 Subspace Correction Schemes -- 2.3 Multigrid and Multilevel Methods -- 2.4 Domain Decomposition Methods -- 2.5 Sparse Grid Solvers -- 3 Adaptively Refined Meshes -- 3.1 The Galerkin Method, Finite Elements and Finite Differences -- 3.2 Error Estimation and Adaptive Mesh Refinement -- 3.3 Data Structures for Adaptively Refined Meshes -- 4 Space-Filling Curves -- 4.1 Definition and Construction -- 4.2 Partitioning -- 4.3 Partitions of Adaptively Refined Meshes -- 4.4 Partitions of Sparse Grids -- 5 Adaptive Parallel Multilevel Methods -- 5.1 Multigrid on Adaptively Refined Meshes -- 5.2 Parallel Multilevel Methods -- 5.3 Parallel Adaptive Methods -- 6 Numerical Applications -- 6.1 Parallel Multigrid for a Poisson Problem -- 6.2 Parallel Multigrid for Linear Elasticity -- 6.3 Parallel Solvers for Sparse Grid Discretisations -- Concluding Remarks and Outlook