Keyes, David E.

Domain Decomposition Methods in Science and Engineering XVI

Keyes, David E. - Domain Decomposition Methods in Science and Engineering XVI, ebook


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Table of contents

Part I. Plenary Presentations

1. A Domain Decomposition Solver for a Parallel Adaptive Meshing Paradigm
Randolph E. Bank

2. Algebraic Multigrid Methods Based on Compatible Relaxation and Energy Minimization
James Brannick, Ludmil Zikatanov

3. Lower Bounds in Domain Decomposition
Susanne C. Brenner

4. Heterogeneous Domain Decomposition Methods for Fluid-Structure Interaction Problems
Simone Deparis, Marco Discacciati, Gilles Fourestey, Alfio Quarteroni

5. Preconditioning of Saddle Point Systems by Substructuring and a Penalty Approach
Clark R. Dohrmann

6. Nonconforming Methods for Nonlinear Elasticity Problems
Bernd Flemisch, Barbara I. Wohlmuth

7. Finite Element Methods with Patches and Applications
Roland Glowinski, Jiwen He, Alexei Lozinski, Marco Picasso, Jacques Rappaz, Vittoria Rezzonico, Joël Wagner

8. On Preconditioned Uzawa-type Iterations for a Saddle Point Problem with Inequality Constraints
Carsten Gräser, Ralf Kornhuber

9. Multilevel Methods for Eigenspace Computations in Structural Dynamics
Ulrich L. Hetmaniuk, Richard B. Lehoucq

10. Recent Developments on Optimized Schwarz Methods
Frédéric Nataf

11. Schur Complement Preconditioners for Distributed General Sparse Linear Systems
Yousef Saad

12. Schwarz Preconditioning for High Order Simplicial Finite Elements
Joachim Schöberl, Jens M. Melenk, Clemens G. A. Pechstein, Sabine C. Zaglmayr

Part II. Minisymposia

13. MINISYMPOSIUM 1: Domain Decomposition Methods for Simulation-constrained Optimization
Volkan Akcelik, George Biros, Omar Ghattas

14. Robust Multilevel Restricted Schwarz Preconditioners and Applications
Ernesto E. Prudencio, Xiao-Chuan Cai

15. MINISYMPOSIUM 2: Optimized Schwarz Methods
Martin Gander, Fréderic Nataf

16. Optimized Schwarz Methods in Spherical Geometry with an Overset Grid System
Jean Côté, Martin J. Gander, Lahcen Laayouni, Abdessamad Qaddouri

17. An Optimized Schwarz Algorithm for the Compressible Euler Equations
Victorita Dolean, Frédéric Nataf

18. Optimized Schwarz Methods with Robin Conditions for the Advection-Diffusion Equation
Olivier Dubois

19. Optimized Algebraic Interface Conditions in Domain Decomposition Methods for Strongly Heterogeneous Unsymmetric Problems
Luca Gerardo-Giorda, Frédéric Nataf

20. Optimal and Optimized Domain Decomposition Methods onthe Sphere
Sébastien Loisel

21. Additive Schwarz Method for Scattering Problems Using the PML Method at Interfaces
Achim Schädle, Lin Zschiedrich

22. Optimized Restricted Additive Schwarz Methods
Amik St-Cyr, Martin J. Gander, Stephen J. Thomas

23. MINISYMPOSIUM 3: Domain Decomposition Methods Applied to Challenging Engineering Problems
Daniel Rixen, Christian Rey, Pierre Gosselet

24. An Overview of Scalable FETI—DP Algorithms for Variational Inequalities
Zden?k Dostál, David Horák, Dan Stefanica

25. Performance Evaluation of a Multilevel Sub-structuring Method for Sparse Eigenvalue Problems
Weiguo Gao, Xiaoye S. Li, Chao Yang, Zhaojun Bai

26. Advection Diffusion Problems with Pure Advection Approximation in Subregions
Martin J. Gander, Laurence Halpern, Caroline Japhet, Véronique Martin

27. Construction of a New Domain Decomposition Method for the Stokes Equations
Frédéric Nataf, Gerd Rapin

28. MINISYMPOSIUM 4: Domain Decomposition Methods for Electromagnetic Field Problems
Ronald H. W. Hoppe, Jin-Fa Lee

29. A Domain Decomposition Approach for Non-conformal Couplings between Finite and Boundary Elements for Electromagnetic Scattering Problems in R3

Marinos Vouvakis, Jin-Fa Lee

30. MINISYMPOSIUM 5: Space-time Parallel Methods for Partial Differential Equations
Martin Gander, Laurence Halpern

31. Optimized Schwarz Waveform Relaxation Algorithms with Nonconforming Time Discretization for Coupling Convection-diffusion Problems with Discontinuous Coefficients
Eric Blayo, Laurence Halpern, Caroline Japhet

32. Stability of the Parareal Time Discretization for Parabolic Inverse Problems
Daoud S. Daoud

33. A Schwarz Waveform Relaxation Method for Advection—Diffusion—Reaction Problems with Discontinuous Coefficients and Non-matching Grids
Martin J. Gander, Laurence Halpern, Michel Kern

34. On the Superlinear and Linear Convergence of the Parareal Algorithm
Martin J. Gander, Stefan Vandewalle

35. Optimized Sponge Layers, Optimized Schwarz Waveform Relaxation Algorithms for Convection-diffusion Problems and Best Approximation
Laurence Halpern

36. MINISYMPOSIUM 6: Schwarz Preconditioners and Accelerators
Marcus Sarkis, Daniel Szyld

37. Numerical Implementation of Overlapping Balancing Domain Decomposition Methods on Unstructured Meshes
Jung-Han Kimn, Blaise Bourdin

38. OBDD: Overlapping Balancing Domain Decomposition Methods and Generalizations to the Helmholtz Equation
Jung-Han Kimn, Marcus Sarkis

39. Developments in Overlapping Schwarz Preconditioning of High-Order Nodal Discontinuous Galerkin Discretizations
Luke N. Olson, Jan S. Hesthaven, Lucas C. Wilcox

40. Domain-decomposed Fully Coupled Implicit Methods for a Magnetohydrodynamics Problem
Serguei Ovtchinnikov, Florin Dobrian, Xiao-Chuan Cai, David Keyes

41. A Proposal for a Dynamically Adapted Inexact Additive Schwarz Preconditioner
Marcus Sarkis, Daniel B. Szyld

42. MINISYMPOSIUM 7: FETI and Neumann-Neumann Methods with Primal
Axel Klawonn, Kendall Pierson

43. Parallel Scalability of a FETI—DP Mortar Method for Problems with Discontinuous Coefficients
Nina Dokeva, Wlodek Proskurowski

44. Neumann-Neumann Algorithms (Two and Three Levels) for Finite Element Elliptic Problems with Discontinuous Coefficients on Fine Triangulation ki
Maksymilian Dryja, Olof Widlund

45. The Primal Alternatives of the FETI Methods Equipped with the Lumped Preconditioner
Yannis Fragakis, Manolis Papadrakakis

46. Balancing Domain Decomposition Methods for Mortar Coupling Stokes-Darcy Systems
Juan Galvis, Marcus Sarkis

47. A FETI-DP Formulation for Compressible Elasticity with Mortar Constraints
Hyea Hyun Kim

48. Some Computational Results for Robust FETI-DP Methods Applied to Heterogeneous Elasticity Problems in 3D
Axel Klawonn, Oliver Rheinbach

49. Dual-primal Iterative Substructuring for Almost Incompressible Elasticity
Axel Klawonn, Oliver Rheinbach, Barbara Wohlmuth

50. Inexact Fast Multipole Boundary Element Tearing and Interconnecting Methods
Ulrich Langer, Günther Of, Olaf Steinbach, Walter Zulehner

51. A BDDC Preconditioner for Saddle Point Problems
Jing Li, Olof Widlund

52. Adaptive Coarse Space Selection in the BDDC and the FETI-DP Iterative Substructuring Methods: Optimal Face Degrees of Freedom
Jan Mandel, Bed?ich Sousedík

53. Applications of the FETI-DP-RBS-LNA Algorithm on Large Scale Problems with Localized Nonlinearities
Jun Sun, Pan Michaleris, Anshul Gupta, Padma Raghavan

54. Three-level BDDC
Xuemin Tu

55. MINISYMPOSIUM 8: Analysis, Development and Implementation of Mortar Elements for 3D Problems in Mechanics
Patrick Le Tallec

56. Two-scale Dirichlet-Neumann Preconditioners for Boundary Refinements
Patrice Hauret, Patrick Le Tallec

57. A Numerical Quadrature for the Schwarz-Chimera Method
J.-B. Apoung Kamga, Olivier Pironneau

58. A New Variant of the Mortar Technique for the Crouzeix-Raviart Finite Element
Talal Rahman, Xuejun Xu

Part III. Contributed Presentations

59. A New Probabilistic Approach to the Domain Decomposition Method
Juan A. Acebrón, Renato Spigler

60. An Adapted Coarse Space for Balancing Domain Decomposition Methods in Nonlinear Elastodynamics
Mikaël Barboteu

61. On Nonlinear Dirichlet—Neumann Algorithms for Jumping Nonlinearities
Heiko Berninger, Ralf Kornhuber, Oliver Sander

62. Preconditioners for High Order Mortar Methods based on Substructuring
Silvia Bertoluzza, Micol Pennacchio

63. Adaptive Smoothed Aggregation in Lattice QCD
James Brannick, Marian Brezina, David Keyes, Oren Livne, Irene Livshits, Scott MacLachlan, Tom Manteuffel, Steve McCormick, John Ruge, Ludmil Zikatanov

64. Spectral Element Agglomerate AMGe
Timothy Chartier, Robert Falgout, Van Emden Henson, Jim E. Jones, Tom A. Manteuffel, John W. Ruge, Steve F. McCormick, Panayot S. Vassilevski

65. Scalable Three-Dimensional Acoustics Using hp-finite/infinite Elements and FETI-DP
D. K. Datta, Saikat Dey, Joseph J. Shirron

66. A Multilevel Energy-based Quantization 1Scheme
Maria Emelianenko, Qiang Du

67. A Cousin Formulation for Overlapped Domain Decomposition Applied to the Poisson Equation
Drazen Fabris, Sergio Zarantonello

68. Solving Frictional Contact Problems with Multigrid Efficiency
Konstantin Fackeldey, Rolf H. Krause

69. The Approximate Integration in the Mortar Method Constraint
Silvia Falletta

70. Fault Tolerant Domain Decomposition for Parabolic Problems
Marc Garbey, Hatem Ltaief

71. Domain Decomposition for Heterogeneous Media
Ivan G. Graham, Patrick O. Lechner

72. Parallel Implicit Solution of Diffusion-limited Radiation Transport
William D. Gropp, Dinesh K. Kaushik, David E. Keyes, Barry F. Smith

73. Adaptive Parareal for Systems of ODEs
David Guibert, Damien Tromeur-Dervout

74. A Fast Helmholtz Solver for Scattering by a Sound-soft Target in Sediment
Quyen Huynh, Kazufumi Ito, Jari Toivanen

75. Numerical Simulation of Free Seepage Flow on Non-matching Grids
Bin Jiang, John C. Bruch

76. Stationary Incompressible Viscous Flow Analysis by a Domain Decomposition Method
Hiroshi Kanayama, Diasuke Tagami, Masatsugu Chiba

77. New Streamfunction Approach for Magnetohydrodynamics
Kab Seok Kang

78. Control Volume Finite Difference On Adaptive Meshes
Sanjay K. Khattri, Gunnar E. Fladmark, Helge K. Dahle

79. Preconditioned Eigensolver LOBPCG in hypre and PETSc
Ilya Lashuk, Merico Argentati, Evgueni Ovtchinnikov, Andrew Knyazev

80. A New FETI-based Algorithm for Solving 3D Contact Problems with Coulomb Friction
Radek Ku?era, Jaroslav Haslinger, Zden?k Dostál

81. A Discontinuous Galerkin Formulation for Solution of Parabolic Equations on Nonconforming Meshes
Deepak V. Kulkarni, Dimitrios V. Rovas, Daniel A. Tortorelli

82. On a Parallel Time-domain Method for the Nonlinear Black-Scholes Equation
Choi-Hong Lai, Diane Crane, Alan Davies

83. Domain-decomposition Based ?-LU Preconditioners
Sabine Le Borne, Lars Grasedyck, Ronald Kriemann

84. Condition Number Estimates for C0 Interior Penalty Methods
Shuang Li, Kening Wang

85. An Iterative Substructuring Method for Mortar Nonconforming Discretization of a Fourth-Order Elliptic Problem in Two Dimensions
Leszek Marcinkowski

86. Local Defect Correction for Time-Dependent Partial Differential Equations
Remo Minero, Martijn J.H. Anthonissen, Robert M.M. Mattheij

87. Extending the p-Version of Finite Elements by an Octree-Based Hierarchy
R.-P. Mundani, H.-J. Bungartz, E. Rank, A. Niggl, R. Romberg

88. The Multigrid/ ? -extrapolation Technique Applied to the Immersed Boundary Method
Francois Pacull, Marc Garbey

89. Overlapping Schwarz Preconditioners for Fekete Spectral Elements
Richard Pasquetti, Luca F. Pavarino, Francesca Rapetti, Elena Zampieri

90. Solution of Reduced Resistive Magnetohydrodynamics using Implicit Adaptive Mesh Refinement
Bobby Philip, Michael Pernice, Luis Chacón

91. Embedded Pairs of Fractional Runge-Kutta Methods and Improved Domain Decomposition Techniques for Parabolic Problems
Laura Portero, Juan Carlos Jorge

92. Algebraic Multilevel Preconditioners for Nonsymmetric PDEs on Stretched Grids
Marzio Sala, Paul T. Lin, John N. Shadid, Ray S. Tuminaro

93. A Balancing Algorithm for Mortar Methods
Dan Stefanica

94. A Hybrid Parallel Preconditioner Using Incomplete Cholesky Factorization and Sparse Approximate Inversion
Keita Teranishi, Padma Raghavan

95. A Three-Scale Finite Element Method for Elliptic Equations with Rapidly Oscillating Periodic Coefficients
Henrique Versieux, Marcus Sarkis

96. A FETI Domain Decomposition Method Applied to Contact Problems with Large Displacements
Vít Vondrák, Zden?k Dostál, Ji?í Dobiáš, Svatopluk Pták

Keywords: Mathematics, Computational Mathematics and Numerical Analysis, Computational Science and Engineering, Numerical and Computational Methods, Mathematics of Computing

Publication year
Lecture Notes in Computational Science and Engineering
Page amount
805 pages
Natural Sciences

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