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E-grāmata: Domain Decomposition Methods in Science and Engineering XVIII

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th This volume contains a selection of 41 refereed papers presented at the 18 International Conference of Domain Decomposition Methods hosted by the School of ComputerScience and Engineering(CSE) of the Hebrew Universityof Jerusalem, Israel, January 1217, 2008. 1 Background of the Conference Series The International Conference on Domain Decomposition Methods has been held in twelve countries throughout Asia, Europe, the Middle East, and North America, beginning in Paris in 1987. Originally held annually, it is now spaced at roughly 18-month intervals. A complete list of past meetings appears below. The principal technical content of the conference has always been mathematical, but the principal motivation has been to make ef cient use of distributed memory computers for complex applications arising in science and engineering. The leading 15 such computers, at the petascale characterized by 10 oating point operations per second of processing power and as many Bytes of application-addressablem- ory, now marshal more than 200,000 independentprocessor cores, and systems with many millions of cores are expected soon. There is essentially no alternative to - main decomposition as a stratagem for parallelization at such scales. Contributions from mathematicians, computerscientists, engineers,and scientists are together n- essary in addressing the challenge of scale, and all are important to this conference.
Part I Plenary Presentations
A Domain Decomposition Approach for Calculating the Graph Corresponding to a Fibrous Geometry
3(12)
Achi Brandt
Oleg Iliev
Joerg Willems
Adaptive Multilevel Interior-Point Methods in PDE Constrained Optimization
15(12)
Harbir Antil
Ronald H.W. Hoppe
Christopher Linsenmann
Numerical Homogeneisation Technique with Domain Decomposition Based a-posteriori Error Estimates
27(12)
Patrick Le Tallec
Multiscale Methods for Multiphase Flow in Porous Media
39(12)
Jan M. Nordbotten
Mixed Plane Wave Discontinuous Galerkin Methods
51(12)
Ralf Hiptmair
Ilaria Perugia
Numerical Zoom and the Schwarz Algorithm
63(12)
Frederic Hecht
Alexei Lozinski
Olivier Pironneau
BDDC for Nonsymmetric Positive Definte and Symmetric Indefinite Problems
75(12)
Xuemin Tu
Jing Li
Accomodating Irregular Subdomains in Domain Decomposition Theory
87(12)
Olof B. Widlund
Auxiliary Space Preconditioners for Mixed Finite Element Methods
99(14)
Ray S. Tuminaro
Jinchao Xu
Yunrong Zhu
Part II Minisymposia
A Multilevel Domain Decomposition Solver Suited to Nonsmooth Mechanical Problems
113(8)
Damien Iceta
Pierre Alart
David Dureisseix
A FETI-2LM Method for Non-Matching Grids
121(8)
Francois-Xavier Roux
Truncated Nonsmooth Newton Multigrid Methods for Convex Minimization Problems
129(8)
Carsten Graser
Uli Sack
Oliver Sander
A Recursive Trust-Region Method for Non-Convex Constrained Minimization
137(8)
Christian Gro
Rolf Krause
A Robin Domain Decomposition Algorithm for Contact Problems: Convergence Results
145(8)
Mohamed Ipopa
Taoufik Sassi
Patch Smoothers for Saddle Point Problems with Applications to PDE-Constrained Optimization Problems
153(8)
Rene Simon
Walter Zulehner
A Domain Decomposition Preconditioner of Neumann-Neumann Type for the Stokes Equations
161(8)
Vitorita Dolean
Frederic Nataf
Gerd Rapin
Non-overlapping Domain Decomposition for the Richards Equation via Superposition Operators
169(8)
Heiko Berninger
Convergence Behavior of a Two-Level Optimized Schwarz Preconditioner
177(8)
Olivier Dubois
Martin J. Gander
An Algorithm for Non-Matching Grid Projections with Linear Complexity
185(8)
Martin J. Gander
Caroline Japhet
A Miximum Principle for L2-Trace Norms with an Application to Optimized Schwarz Methods
193(8)
Sebastien Loisel
Daniel B. Szyld
An Extended Mathematical Framework for Barrier Methods in Function Space
201(8)
Anton Schiela
Optimized Schwarz Preconditioning for SEM Based Magnetohydrodynamics
209(8)
Amik St. Cyr
Duane Rosenberg
Sang Dong Kim
Nonlinear Overlapping Domain Decomposition Methods
217(8)
Xiao-Chuan Cai
Optimized Schwarz Waveform Relaxation: Roots, Blossoms and Fruits
225(8)
Laurence Halpern
Optimized Schwarz Methods
233(8)
F. Nataf
The Development of Coars Spaces for Domain Decomposition Algorithms
241(10)
Olof B. Widlund
Part III Contributed Presentations
Distributed Decomposition Over Hyperspherical Domains
251(8)
Aron Ahmadia
David Keyes
David Melville
Alan Rosenbluth
Kehan Tian
Domain Decomposition Preconditioning for Discontinuous Galerkin Approximations of Convection-Diffusion Problems
259(8)
Paola F. Antonietti
Endre Suli
Linearly Implicit Domain Decomposition Methods for Nonlinear Time-Dependent Reaction-Diffusion Problems
267(8)
A. Arraras
L. Portero
J.C. Jorge
NKS for Fully Coupled Fluid-Structure Interaction with Application
275(8)
Andrew T. Barker
Xiao-Chuan Cai
Weak Information Transfer between Non-Matching Warped Interfaces
283(8)
Thomas Dickopf
Rolf Krause
Computational Tool for a Mini-Windmill Study with SOFT
291(8)
M. Garbey
M. Smaoui
N. De Brye
C. Picard
On Preconditioners for Generalized Saddle Point Problems with an Indefinite Block
299(8)
Piotr Krzyzanowski
Lower Bounds for Eigenvalues of Elliptic Operators by Overlapping Domain Decomposition
307(8)
Yuri A. Kuznetsov
From the Boundary Element Domain Decomposition Methods to Local Trefftz Finite Element Methods on Polyhedral Meshes
315(8)
Dylan Copeland
Ulrich Langer
David Pusch
An Additive Neumann-Neumann Method for Mortar Finite Element for 4th Order Problems
323(8)
Leszek Marcinkowski
A Numerically Efficient Scheme for Elastic Immeresed Boundaries
331(8)
F. Pacull
M. Garbey
A Domain Decomposition Method Based on Augmented Largrangian with a Penalty Term
339(8)
Chang-Ock Lee
Eun-Hee Park
Parallelization of a Constrained Three-Dimensional Maxwell Solver
347(8)
F. Assous
J. Segre
E. Sonnendrucker
A Discovery Algorithm for the Algebraic Construction of Optimized Schwarz Preconditioners
355(8)
Amik St. Cyr
Martin J. Gander
On the Convergence of Optimized Schwarz Methods by way of Matrix Anaysis
363
Sebastien Loisel
Daniel B. Szyld