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A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations - Softcover

Schweitzer, Marc Alexander

 
9783642593260: A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations
Softcover
ISBN 10: 3642593267 ISBN 13: 9783642593260
Publisher: Springer, 2011

This specific ISBN edition is currently not available.

Synopsis

1 Introduction.- 2 Partition of Unity Method.- 2.1 Construction of a Partition of Unity Space.- 2.2 Properties.- 2.3 Basic Convergence Theory.- 3 Treatment of Elliptic Equations.- 3.1 Galerkin Discretization.- 3.2 Boundary Conditions.- 3.3 Numerical Results.- 4 Multilevel Solution of the Resulting Linear System.- 4.1 Multilevel Iterative Solvers.- 4.2 Multilevel Partition of Unity Method.- 4.3 Numerical Results.- 5 Tree Partition of Unity Method.- 5.1 Single Level Cover Construction.- 5.2 Construction of a Sequence of PUM Spaces.- 5.3 Numerical Results.- 6 Parallelization and Implementational Details.- 6.1 Parallel Data Structures.- 6.2 Parallel Tree Partition of Unity Method.- 6.3 Numerical Results.- 7 Concluding Remarks.- Treatment of other Types of Equations.- A.1 Parabolic Equations.- A.2 Hyperbolic Equations.- Transformation of Keys.- Color Plates.- References.

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Publisher
Springer
Publication date
2011
Language
English
ISBN 10 
3642593267
ISBN 13 
9783642593260
Binding
Paperback

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Other Popular Editions of the Same Title

9783540003519: A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations: 29 (Lecture Notes in Computational Science and Engineering, 29)

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ISBN 10:  3540003517 ISBN 13:  9783540003519
Publisher: Springer, 2003
Softcover