Description |
1 online resource (xiii, 764 pages) : illustrations |
Series |
Lecture notes in computational science and engineering ; 61 |
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Lecture notes in computational science and engineering ; 61.
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Contents |
Decomposition Frameworks; Schwarz Iterative Algorithms; Schur Complement and Iterative Substructuring Algorithms; Lagrange Multiplier Based Substructuring: FETI Method; Computational Issues and Parallelization; Least Squares-Control Theory: Iterative Algorithms; Multilevel and Local Grid Refinement Methods; Non-Self Adjoint Elliptic Equations: Iterative Methods; Parabolic Equations; Saddle Point Problems; Non-Matching Grid Discretizations; Heterogeneous Domain Decomposition Methods; Fictitious Domain and Domain Imbedding Methods; Variational Inequalities and Obstacle Problems |
Summary |
Domain decomposition methods are divide and conquer computational methods for the parallel solution of partial differential equations of elliptic or parabolic type. The methodology includes iterative algorithms, and techniques for non-matching grid discretizations and heterogeneous approximations. This book serves as a matrix oriented introduction to domain decomposition methodology. The topics discussed include hybrid formulations, Schwarz, substructuring and Lagrange multiplier methods for elliptic equations, computational issues, least squares-control methods, multilevel methods, non-self a |
Bibliography |
Includes bibliographical references and index |
Notes |
English |
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Print version record |
Subject |
Decomposition method.
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Differential equations, Partial -- Numerical solutions.
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MATHEMATICS -- Differential Equations -- Partial.
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Numerical and Computational Methods in Engineering.
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Partial differential equations.
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Mathematics of Computing.
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Computational Science and Engineering.
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Computational Mathematics and Numerical Analysis.
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Mathematics.
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Decomposition method.
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Differential equations, Partial -- Numerical solutions.
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Matemáticas
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Ecuaciones en derivadas parciales estocásticas
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Decomposition method
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Differential equations, Partial -- Numerical solutions
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Form |
Electronic book
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ISBN |
9783540772095 |
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354077209X |
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3540772057 |
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9783540772057 |
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