Bank, Randolph

Domain Decomposition Methods in Science and Engineering XX

Bank, Randolph - Domain Decomposition Methods in Science and Engineering XX, ebook


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Table of contents

Part I. Plenary Presentations

1. Equidistribution and Optimal Approximation Class
Constantin Bacuta, Long Chen, Jinchao Xu

2. Some Recent Tools and a BDDC Algorithm for 3D Problems in H(curl)
Clark R. Dohrmann, Olof B. Widlund

3. Symbolic Techniques for Domain Decomposition Methods
T. Cluzeau, V. Dolean, F. Nataf, A. Quadrat

4. Scalable Domain Decomposition Algorithms for Contact Problems: Theory, Numerical Experiments, and Real World Problems
Z. Dostál, T. Kozubek, T. Brzobohatý, A. Markopoulos, M. Sadowská, V. Vondrák

5. Robust Coarsening in Multiscale PDEs
Robert Scheichl

6. Multi-level Decompositions of Electronic Wave Functions
Harry Yserentant

7. A Substructuring Preconditioner for Three-Dimensional Maxwell’s Equations
Qiya Hu, Shi Shu, Jun Zou

Part II. Minisymposia

8. A Two-Level Schwarz Preconditioner for Heterogeneous Problems
V. Dolean, F. Nataf, R. Scheichl, N. Spillane

9. Heterogeneous Domain Decomposition Methods for Eddy Current Problems
Ana Alonso Rodríguez

10. Mesh Regularization in Bank-Holst Parallel hp-Adaptive Meshing
Randolph E. Bank, Hieu Nguyen

11. Robust Parameter-Free Multilevel Methods for Neumann Boundary Control Problems
Etereldes Gonçalves, Marcus Sarkis

12. An Overlapping Domain Decomposition Method for a 3D PEMFC Model
Cheng Wang, Mingyan He, Ziping Huang, Pengtao Sun

13. Multigrid Methods for the Biharmonic Problem with Cahn-Hilliard Boundary Conditions
Susanne C. Brenner, Shiyuan Gu, Li-yeng Sung

14. A Two-Level Additive Schwarz Preconditioner for C
0 Interior Penalty Methods for Cahn-Hilliard Equations
Kening Wang

15. An Algebraic Multigrid Method Based on Matching in Graphs
James Brannick, Yao Chen, Johannes Kraus, Ludmil Zikatanov

16. Shifted Laplacian RAS Solvers for the Helmholtz Equation
Jung-Han Kimn, Marcus Sarkis

17. A Subspace Correction Method for Nearly Singular Linear Elasticity Problems
E. Karer, J. K. Kraus, L. T. Zikatanov

18. Adaptive Finite Element Methods with Inexact Solvers for the Nonlinear Poisson-Boltzmann Equation
Michael Holst, Ryan Szypowski, Yunrong Zhu

19. Preconditioning for Mixed Finite Element Formulations of Elliptic Problems
Tim Wildey, Guangri Xue

20. Multigrid Preconditioner for Nonconforming Discretization of Elliptic Problems with Jump Coefficients
Blanca Ayuso Dios, Michael Holst, Yunrong Zhu, Ludmil Zikatanov

21. Domain Decomposition Methods of Stochastic PDEs
Waad Subber, Abhijit Sarkar

22. Improving the Convergence of Schwarz Methods for Helmholtz Equation
Murthy N Guddati, Senganal Thirunavukkarasu

23. A Domain Decomposition Solver for the Discontinuous Enrichment Method for the Helmholtz Equation
Charbel Farhat, Radek Tezaur, Jari Toivanen

24. Domain Decomposition Methods for the Helmholtz Equation: A Numerical Investigation
Martin J. Gander, Hui Zhang

25. Stable BETI Methods in Electromagnetics
Olaf Steinbach, Markus Windisch

26. Preconditioning High–Order Discontinuous Galerkin Discretizations of Elliptic Problems
Paola F. Antonietti, Paul Houston

27. A Block Solver for the Exponentially Fitted IIPG-0 Method
Blanca Ayuso Dios, Ariel Lombardi, Paola Pietra, Ludmil Zikatanov

28. A Nonoverlapping DD Preconditioner for a Weakly Over-Penalized Symmetric Interior Penalty Method
Andrew T. Barker, Susanne C. Brenner, Eun-Hee Park, Li-Yeng Sung

29. Sharp Condition Number Estimates for the Symmetric 2-Lagrange Multiplier Method
Stephen W. Drury, Sébastien Loisel

30. Time Domain Maxwell Equations Solved with Schwarz Waveform Relaxation Methods
Yves Courvoisier, Martin J. Gander

31. Comparison of a One and Two Parameter Family of Transmission Conditions for Maxwell’s Equations with Damping
M. El Bouajaji, V. Dolean, M. J. Gander, S. Lanteri

32. Hybrid Domain Decomposition Solvers for the Helmholtz and the Time Harmonic Maxwell’s Equation
M. Huber, A. Pechstein, J. Schöberl

33. Multiscale Domain Decomposition Preconditioners for Anisotropic High-Contrast Problems
Yalchin Efendiev, Juan Galvis, Raytcho Lazarov, Svetozar Margenov, Jun Ren

34. A Robust FEM-BEM Solver for Time-Harmonic Eddy Current Problems
Michael Kolmbauer, Ulrich Langer

35. Domain Decomposition Methods for Auxiliary Linear Problems of an Elliptic Variational Inequality
Jungho Lee

36. New Theoretical Coefficient Robustness Results for FETI-DP
Clemens Pechstein, Marcus Sarkis, Robert Scheichl

37. Monotone Multigrid Methods Based on Parametric Finite Elements
Thomas Dickopf, Rolf Krause

38. TFETI Scalable Solvers for Transient Contact Problems
T. Kozubek, Z. Dostál, T. Brzobohatý, A. Markopoulos, O. Vlach

39. Model of Imperfect Interfaces in Composite Materials and Its Numerical Solution by FETI Method
Jaroslav Kruis, Jan Zeman, Pavel Gruber

40. A Comparison of TFETI and TBETI for Numerical Solution of Engineering Problems of Contact Mechanics
D. Lukáš, M. Sadowská, T. Kozubek, A. Markopoulos, T. Brzobohatý

41. FETI-DP for Elasticity with Almost Incompressible Material Components
Sabrina Gippert, Axel Klawonn, Oliver Rheinbach

42. An Alternative Coarse Space Method for Overlapping Schwarz Preconditioners for Raviart-Thomas Vector Fields
Duk-Soon Oh

43. A Simultaneous Augmented Lagrange Approach for the Simulation of Soft Biological Tissue
Dirk Böse, Sarah Brinkhues, Raimund Erbel, Axel Klawonn, Oliver Rheinbach, Jörg Schröder

44. Techniques for Locally Adaptive Time Stepping Developed over the Last Two Decades
Martin J. Gander, Laurence Halpern

45. Newton-Schwarz Optimised Waveform Relaxation Krylov Accelerators for Nonlinear Reactive Transport
Florian Haeberlein, Laurence Halpern, Anthony Michel

46. Alternating and Linearized Alternating Schwarz Methods for Equidistributing Grids
Martin J. Gander, Ronald D. Haynes, Alexander J. M. Howse

47. Stability Analysis of the Matrix-Free Linearly Implicit Euler Method
Adrian Sandu, Amik St-Cyr

48. Augmented Interface Systems for the Darcy-Stokes Problem
Marco Discacciati

49. Mortar Coupling for Heterogeneous Partial Differential Equations
Pablo Blanco, Paola Gervasio, Alfio Quarteroni

50. Heterogeneous Substructuring Methods for Coupled Surface and Subsurface Flow
Heiko Berninger, Ralf Kornhuber, Oliver Sander

51. An Asymptotic Approach to Compare Coupling Mechanisms for Different Partial Differential Equations
Martin J. Gander, Véronique Martin

52. Coupling Geometrically Exact Cosserat Rods and Linear Elastic Continua
Oliver Sander

53. Parareal Schwarz Waveform Relaxation Methods
Martin J. Gander, Yao-Lin Jiang, Rong-Jian Li

54. A Parallel Overlapping Time-Domain Decomposition Method for ODEs
Stefan Güttel

55. Two-Grid LNKSz for Distributed Control of Unsteady Incompressible Flows
Haijian Yang, Xiao-Chuan Cai

56. On the Applicability of Lions’ Energy Estimates in the Analysis of Discrete Optimized Schwarz Methods with Cross Points
Martin J. Gander, Felix Kwok

57. Non Shape Regular Domain Decompositions: An Analysis Using a Stable Decomposition in H^1_0

Martin J. Gander, Laurence Halpern, Kévin Santugini Repiquet

58. Overlapping Domain Decomposition: Convergence Proofs
Minh-Binh Tran

Part III. Contributed Presentations

59. FETI Methods for the Simulation of Biological Tissues
Christoph Augustin, Olaf Steinbach

60. Fast Summation Techniques for Sparse Shape Functions in Tetrahedral hp-FEM
Sven Beuchler, Veronika Pillwein, Sabine Zaglmayr

61. A Non-overlapping Quasi-optimal Optimized Schwarz Domain Decomposition Algorithm for the Helmholtz Equation
Y. Boubendir, X. Antoine, C. Geuzaine

62. A Continuous Approach to FETI-DP Mortar Methods: Application to Dirichlet and Stokes Problem
E. Chacón Vera, D. Franco Coronil, A. Martínez Gavara

63. One-Shot Domain Decomposition Methods for Shape Optimization Problems
Rongliang Chen, Xiao-Chuan Cai

64. A Schur Complement Method for Compressible Navier-Stokes Equations
Thu-Huyen Dao, Michael Ndjinga, Frédéric Magoulès

65. Numerical Study of the Almost Nested Case in a Multilevel Method Based on Non-nested Meshes
Thomas Dickopf, Rolf Krause

66. BDDC for Higher-Order Discontinuous Galerkin Discretizations
Laslo Diosady, David Darmofal

67. ARAS2 Preconditioning Technique for CFD Industrial Cases
Thomas Dufaud, Damien Tromeur-Dervout

68. An Implicit and Parallel Chimera Type Domain Decomposition Method
B. Eguzkitza, G. Houzeaux, R. Aubry, O. Peredo

69. Optimized Schwarz Waveform Relaxation for Porous Media Applications
Caroline Japhet, Pascal Omnes

70. On Block Preconditioners for Generalized Saddle Point Problems
Piotr Krzyżanowski

71. Optimal Control of the Convergence Rate of Schwarz Waveform Relaxation Algorithms
Florian Lemarié, Laurent Debreu, Eric Blayo

72. A New Distributed Optimization Approach for Solving CFD Design Problems Using Nash Game Coalition and Evolutionary Algorithms
Jyri Leskinen, Jacques Périaux

73. A Neumann-Dirichlet Preconditioner for FETI-DP Method for Mortar Discretization of a Fourth Order Problems in 2D
Leszek Marcinkowski

74. A DG Space–Time Domain Decomposition Method
Martin Neumüller, Olaf Steinbach

75. Parallel Adaptive Deflated GMRES
Désiré Nuentsa Wakam, Jocelyne Erhel, William D. Gropp

76. Quasi-optimality of BDDC Methods for MITC Reissner-Mindlin Problems
L. Beirão Veiga, C. Chinosi, C. Lovadina, L. F. Pavarino, J. Schöberl

77. Penalty Robin-Robin Domain Decomposition Schemes for Contact Problems of
Nonlinear Elasticity
Ihor I. Prokopyshyn, Ivan I. Dyyak, Rostyslav M. Martynyak, Ivan A. Prokopyshyn

78. Domain Decomposition Method for Stokes Problem with Tresca Friction
Mohamed Khaled Gdoura, Jonas Koko, Taoufik Sassi

79. A Hybrid Discontinuous Galerkin Method for Darcy-Stokes Problems
Herbert Egger, Christian Waluga

80. A Parallel Monolithic Domain Decomposition Method for Blood Flow Simulations
in 3D
Yuqi Wu, Xiao-Chuan Cai

81. A Fully Implicit Compressible Euler Solver for Atmospheric Flows
Chao Yang, Xiao-Chuan Cai

Keywords: Mathematics, Computational Mathematics and Numerical Analysis, Computational Science and Engineering, Partial Differential Equations, Computer-Aided Engineering (CAD, CAE) and Design

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

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