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Barth, Timothy J.

Domain Decomposition Methods in Science and Engineering

Barth, Timothy J. - Domain Decomposition Methods in Science and Engineering, ebook

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ISBN: 9783540268253
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Table of contents

Part I. Invited Talks

1. Non-matching Grids and Lagrange Multipliers
S. Bertoluzza, F. Brezzi, L.D. Marini, G. Sangalli

2. A FETI Method for a Class of Indefinite or Complex Second- or Fourth-Order Problems
Charbel Farhat, Jing Li, Michel Lesoinne, Philippe Avery

3. Hybrid Schwarz-Multigrid Methods for the Spectral Element Method: Extensions to Navier-Stokes
Paul F. Fischer, James W. Lottes

4. Numerical Approximation of Dirichlet-to-Neumann Mapping and its Application to Voice Generation Problem
Takashi Kako, Kentarou Touda

5. Selecting Constraints in Dual-Primal FETI Methods for Elasticity in Three Dimensions
Axel Klawonn1, Olof B. Widlund

6. Coupled Boundary and Finite Element Tearing and Interconnecting Methods
Ulrich Langer, Olaf Steinbach

7. Parallel Simulation of Multiphase/Multicomponent Flow Models
Erlend Øian, Magne S. Espedal, I. Garrido, G. E. Fladmark

8. Uncoupling-Coupling Techniques for Metastable Dynamical Systems
Christof Schütte, Ralf Forster, Eike Meerbach, Alexander Fischer

Part II. Minisymposium: Domain Decomposition Methods for Wave Propagation in Unbounded Media

9. On the Construction of Approximate Boundary Conditions for Solving the Interior Problem of the Acoustic Scattering Transmission Problem
X. Antoine, H. Barucq

10. Approximation and Fast Calculation of Non-local Boundary Conditions for the Time-dependent Schrödinger Equation
Anton Arnold, Matthias Ehrhardt, Ivan Sofronov

11. Domain Decomposition and Additive Schwarz Techniques in the Solution of a TE Model of the Scattering by an Electrically Deep Cavity
Nolwenn Balin, Abderrahmane Bendali, Francis Collino

Part III. Minisymposium: Parallel Finite Element Software

12. A Model for Parallel Adaptive Finite Element Software
Krzysztof Banas

13. Towards a Unified Framework for Scientific Computing
Peter Bastian, Mark Droske, Christian Engwer, Robert Klöfkorn, Thimo Neubauer, Mario Ohlberger, Martin Rumpf

14. Distributed Point Objects. A New Concept for Parallel Finite Elements
Christian Wieners

Part IV. Minisymposium: Collaborating Subdomains for Multi-Scale Multi-Physics Modelling

15. Local Defect Correction Techniques Applied to a Combustion Problem
Martijn Anthonissen

16. Electronic Packaging and Reduction in Modelling Time Using Domain Decomposition
Peter Chow, Choi-Hong Lai

17. Improving Robustness and Parallel Scalability of Newton Method Through Nonlinear Preconditioning
Feng-Nan Hwang, Xiao-Chuan Cai

18. Iterative Substructuring Methods for Indoor Air Flow Simulation
Tobias Knopp, Gert Lube, Ralf Gritzki, Markus Rösler

19. Fluid-Structure Interaction Using Nonconforming Finite Element Methods
Edward Swim, Padmanabhan Seshaiyer

20. Interaction Laws in Viscous-Inviscid Coupling
Arthur E. P. Veldman, Edith G.M. Coenen

Part V. Minisymposium: Recent Developments for Schwarz Methods

21. Comparison of the Dirichlet-Neumann and Optimal Schwarz Method on the Sphere
J. Côté, M. J. Gander, L. Laayouni, S. Loisel

22. Finite Volume Methods on Non-Matching Grids with Arbitrary Interface Conditions and Highly Heterogeneous Media
I. Faille, F. Nataf, L. Saas, F. Willien

23. Nonlinear Advection Problems and Overlapping Schwarz Waveform Relaxation
Martin J. Gander, Christian Rohde

24. A New Cement to Glue Nonconforming Grids with Robin Interface Conditions: The Finite Element Case
Martin J. Gander, Caroline Japhet, Yvon Maday, Frédéric Nataf

25. Acceleration of a Domain Decomposition Method for Advection-Diffusion Problems
Gert Lube, Tobias Knopp, Gerd Rapin

26. A Stabilized Three-Field Formulation and its Decoupling for Advection-Diffusion Problems
Gerd Rapin, Gert Lube

27. Approximation of Optimal Interface Boundary Conditions for Two-Lagrange Multiplier FETI Method
F.-X. Roux, F. Magoulès, L. Series, Y. Boubendir

28. Optimized Overlapping Schwarz Methods for Parabolic PDEs with Time-Delay
Stefan Vandewalle, Martin J. Gander

Part VI. Minisymposium: Trefftz-Methods

29. A More General Version of the Hybrid-Trefftz Finite Element Model by Application of TH-Domain Decomposition
Ismael Herrera, Martin Diaz, Robert Yates

Part VII. Minisymposium: Domain Decomposition on Nonmatching Grids

30. Mixed Finite Element Methods for Diffusion Equations on Nonmatching Grids
Yuri Kuznetsov

31. Mortar Finite Elements with Dual Lagrange Multipliers: Some Applications
Bishnu P. Lamichhane, Barbara I. Wohlmuth

32. Non-Conforming Finite Element Methods for Nonmatching Grids in Three Dimensions
Wayne McGee, Padmanabhan Seshaiyer

33. On an Additive Schwarz Preconditioner for the Crouzeix-Raviart Mortar Finite Element
Talal Rahman, Xuejun Xu, Ronald H.W. Hoppe

Part VIII. Minisymposium: FETI and Neumann-Neumann Domain Decomposition Methods

34. A FETI-DP Method for the Mortar Discretization of Elliptic Problems with Discontinuous Coefficients
Maksymilian Dryja, Wlodek Proskurowski

35. A FETI-DP Formulation for Two-dimensional Stokes Problem on Nonmatching Grids
Hyea Hyun Kim, Chang-Ock Lee

36. Some Computational Results for Dual-Primal FETI Methods for Elliptic Problems in 3D
Axel Klawonn, Oliver Rheinbach, Olof B. Widlund

37. The FETI Based Domain Decomposition Method for Solving 3D-Multibody Contact Problems with Coulomb Friction
Radek Kucera, Jaroslav Haslinger, Zdenek Dostál

38. Choosing Nonmortars: Does it Influence the Performance of FETI-DP Algorithms?
Dan Stefanica

Part IX. Minisymposium: Heterogeneous Domain Decomposition with Applications in Multiphysics

39. Domain Decomposition Methods in Electrothermomechanical Coupling Problems
Ronald H.W. Hoppe, Yuri Iliash, Siegfried Ramminger, Gerhard Wachutka

40. A Multiphysics Strategy for Free Surface Flows
Edie Miglio, Simona Perotto, Fausto Saleri

Part X. Minisymposium: Robust Decomposition Methods for Parameter Dependent Problems

41. Weighted Norm-Equivalences for Preconditioning
Karl Scherer

42. Preconditioning for Heterogeneous Problems
Sergey V. Nepomnyaschikh, Eun-Jae Park

Part XI. Minisymposium: Recent Advances for the Parareal in Time Algorithm

43. On the Convergence and the Stability of the Parareal Algorithm to Solve Partial Differential Equations
Guillaume Bal

44. A Parareal in Time Semi-implicit Approximation of the Navier-Stokes Equations
Paul F. Fischer, Frédéric Hecht, Yvon Maday

45. The Parareal in Time Iterative Solver: a Further Direction to Parallel Implementation
Yvon Maday, Gabriel Turinici

46. Stability of the Parareal Algorithm
Gunnar Andreas Staff, Einar M. Rønquist

Part XII. Minisymposium: Space Decomposition and Subspace Correction Methods for Linear and Nonlinear Problems

47. Multilevel Homotopic Adaptive Finite Element Methods for Convection Dominated Problems
Long Chen, Pengtao Sun, Jinchao Xu

48. A Convergent Algorithm for Time Parallelization Applied to Reservoir Simulation
Izaskun Garrido, Magne S. Espedal, Gunnar E. Fladmark

49. Nonlinear Positive Interpolation Operators for Analysis with Multilevel Grids
Xue-Cheng Tai

Part XIII. Minisymposium: Discretization Techniques and Algorithms for Multibody Contact Problems

50. On Scalable Algorithms for Numerical Solution of Variational Inequalities Based on FETI and Semi-monotonic Augmented Lagrangians
Zdenek Dostál, David Horák

51. Fast Solving of Contact Problems on Complicated Geometries
Rolf Krause, Oliver Sander

Part XIV. Contributed Talks

52. Generalized Aitken-like Acceleration of the Schwarz Method
Jacques Baranger, Marc Garbey, Fabienne Oudin-Dardun

53. The Fat Boundary Method: Semi-Discrete Scheme and Some Numerical Experiments
Silvia Bertoluzza, Mourad Ismail, Bertrand Maury

54. Modelling of an Underground Waste Disposal Site by Upscaling and Simulation with Domain Decomposition Method
I. Boursier, A. Bourgeat, D. Tromeur-Dervout

55. Non-Overlapping DDMs to Solve Flow in Heterogeneous Porous Media
Dan-Gabriel Calugaru, Damien Tromeur-Dervout

56. Domain Embedding/Controllability Methods for the Conjugate Gradient Solution of Wave Propagation Problems
H.Q. Chen, R. Glowinski, J. Periaux, J. Toivanen

57. An Accelerated Block-Parallel Newton Method via Overlapped Partitioning
Yurong Chen

58. Generation of Balanced Subdomain Clusters with Minimum Interface for Distributed Domain Decomposition Applications
Dimos C. Charmpis, Manolis Papadrakakis

59. Iterative Methods for Stokes/Darcy Coupling
Marco Discacciati

60. Preconditioning Techniques for the Bidomain Equations
Rodrigo Weber Santos, G. Plank, S. Bauer, E.J. Vigmond

61. Direct Schur Complement Method by Hierarchical Matrix Techniques
Wolfgang Hackbusch, Boris N. Khoromskij, Ronald Kriemann

62. Balancing Neumann-Neumann Methods for Elliptic Optimal Control Problems
Matthias Heinkenschloss, Hoang Nguyen

63. Domain Decomposition Preconditioners for Spectral Nédélec Elements in Two and Three Dimensions
Bernhard Hientzsch

64. Parallel Distributed Object-Oriented Framework for Domain Decomposition
S.P. Kopyssov, I.V. Krasnopyorov, A.K. Novikov, V.N. Rytchkov

65. A Domain Decomposition Based Two-Level Newton Scheme for Nonlinear Problems
Deepak V. Kulkarni, Daniel A. Tortorelli

66. Domain Decomposition for Discontinuous Galerkin Method with Application to Stokes Flow
Piotr Krzyzanowski

67. Hierarchical Matrices for Convection-Dominated Problems
Sabine Borne

68. Parallel Performance of Some Two-Level ASPIN Algorithms
Leszek Marcinkowski, Xiao-Chuan Cai

69. Algebraic Analysis of Schwarz Methods for Singular Systems
Ivo Marek, Daniel B. Szyld

70. Schwarz Waveform Relaxation Method for the Viscous Shallow Water Equations
Véronique Martin

71. A Two-Grid Alternate Strip-Based Domain Decomposition Strategy in Two-Dimensions
L. Angela Mihai, Alan W. Craig

72. Parallel Solution of Cardiac Reaction-Diffusion Models
Luca F. Pavarino, Piero Colli Franzone

73. Predictor-Corrector Methods for Solving Continuous Casting Problem
J. Pieskä, E. Laitinen, A. Lapin

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Keywords: MATHEMATICS / General MAT000000

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