Title Domain decomposition methods in science and engineering XIX / Yunqing Huang [and others], editors

Published Berlin ; Heidelberg : Springer, ©2011

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Description 1 online resource (xxiv, 462 pages) : illustrations (some color) Series Lecture notes in computational science and engineering, 1439-7358 ; 78 Lecture notes in computational science and engineering ; 78. Contents Cover13; -- Preface -- Contents -- Contributors -- Part I Plenary Presentations -- Domain Decomposition and hp-Adaptive Finite Elements -- Randolph E. Bank, Hieu Nguyen -- 1 Introduction -- 2 A Posteriori Error Estimate -- 3 Basis Functions -- 4 Parallel Adaptive Algorithm -- 5 DD Solver -- 6 Numerical Results -- Bibliography -- Domain Decomposition Methods for Electromagnetic Wave Propagation Problems in Heterogeneous Media and Complex Domains -- Victorita Dolean, Mohamed El Bouajaji, Martin J. Gander, St233;phane Lanteri, Ronan Perrussel -- 1 Introduction -- 2 Continuous Problem -- 3 A Family of Schwarz DD Algorithms -- 4 Discretization by a High Order DG Method -- 5 Numerical Results -- 6 Ongoing and Future Work -- Bibliography -- N -- N Solvers for a DG Discretization for Geometrically Nonconforming Substructures and Discontinuous Coefficients -- Maksymilian Dryja, Juan Galvis, Marcus Sarkis -- 1 Summary -- 2 Introduction -- 3 Differential and Discrete Problems -- 4 Notation and the Interface Condition -- 5 Additive Preconditioners -- 6 Final Remarks -- Bibliography -- On Adaptive-Multilevel BDDC -- B. Sousedik, J. Mandel -- 1 Introduction -- 2 Abstract BDDC for a Model Problem -- 3 Indicator of the Condition Number Bound -- 4 Optimal Coarse Degrees of Freedom -- 5 Adaptive-Multilevel BDDC in 2D -- 6 Numerical Examples and Conclusion -- Bibliography -- Interpolation Based Local Postprocessing for Adaptive Finite Element Approximations in Electronic Structure Calculations -- Jun Fang, Xingyu Gao, Xingao Gong, Aihui Zhou -- 1 Introduction -- 2 Interpolation Based Finite Element Postprocessing -- 3 Applications to Electronic Structure Calculations -- 4 Concluding Remarks -- Bibliography -- A New a Posteriori Error Estimate for Adaptive Finite Element Methods -- Yunqing Huang, Huayi Wei, Wei Yang, Nianyu Yi -- 1 Introduction -- 2 A Posteriori Error Estimate -- 3 Numerical Validation and Applications -- Bibliography -- Space-Time Nonconforming Optimized Schwarz Waveform Relaxation for Heterogeneous Problems and General Geometries -- Laurence Halpern, Caroline Japhet, J233;r233;mie Szeftel -- 1 Introduction -- 2 The Continuous OSWR Algorithm -- 3 Numerical Results -- 4 Conclusions -- Bibliography -- Convergence Behaviour of Dirichlet -- Neumann and Robin Methods for a Nonlinear Transmission Problem -- Heiko Berninger, Ralf Kornhuber, Oliver Sander -- 1 Introduction -- 2 Transmission Problem with Jumping Nonlinearities -- 3 Nonlinear Dirichlet -- Neumann and Robin Methods -- 4 Parameter Studies for the Dirichlet -- Neumann Method -- 5 Parameter Studies for the Robin Method -- Bibliography -- Part II Minisymposia -- Optimal Interface Conditions for an Arbitrary Decomposition into Subdomains -- Martin J. Gander, Felix Kwok -- 1 Optimal Interface Conditions -- 2 Notation and Assumptions -- 3 Construction of the Method -- 4 Sparsity Pattern -- 5 Numerical Examples -- 6 Conclusion -- Bibliography -- Optimized Schwarz Methods for Domains with an Arbitrary Interface -- Shiu Hong Lui -- 1 Introduction -- 2 First-Order Boundary Condition -- 3 Higher-Order Boundary Condition -- Bibliography -- Can the Discretization Modify the Performance of Schwarz Methods? -- Victorita Dolean, Martin J. Gander -- 1 Introduction -- 2 The Cauchy -- Riemann Summary These are the proceedings of the 19th international conference on domain decomposition methods in science and engineering. Domain decomposition methods are iterative methods for solving the often very large linear or nonlinear systems of algebraic equations that arise in various problems in mathematics, computational science, engineering and industry. They are designed for massively parallel computers and take the memory hierarchy of such systems into account. This is essential for approaching peak floating point performance. There is an increasingly well-developed theory which is having a direct impact on the development and improvement of these algorithms Bibliography Includes bibliographical references Notes Print version record Subject Decomposition method -- Congresses Differential equations, Partial -- Congresses MATHEMATICS -- Differential Equations -- Partial. Ecuaciones en derivadas parciales Decomposition method Differential equations, Partial Genre/Form proceedings (reports) Conference papers and proceedings Conference papers and proceedings. Actes de congrès. Form Electronic book Author Huang, Yunqing ISBN 9783642113048 3642113044 9783642113031 3642113036

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