Table of Contents
Part I Plenary Presentations
A Domain Decomposition Approach for Calculating the Graph Corresponding to a Fibrous Geometry Achi Brandt Oleg Iliev Joerg Willems 3
Adaptive Multilevel Interior-Point Methods in PDE Constrained Optimization Harbir Antil Ronald H.W. Hoppe Christopher Linsenmann 15
Numerical Homogeneisation Technique with Domain Decomposition Based a-posteriori Error Estimates Patrick Le Tallec 27
Multiscale Methods for Multiphase Flow in Porous Media Jan M. Nordbotten 39
Mixed Plane Wave Discontinuous Galerkin Methods Ralf Hiptmair Ilaria Perugia 51
Numerical Zoom and the Schwarz Algorithm Frédéric Hecht Alexei Loziriski Olivier Pironneau 63
BDDC for Nonsymmetric Positive Definite and Symmetric Indefinite Problems Xuemin Tu Jing Li 75
Accomodating Irregular Subdomains in Domain Decomposition Theory Olof B. Widlund 87
Auxiliary Space Preconditioners for Mixed Finite Element Methods Ray S. Tuminaro Jinchao Xu Yunrong Zhu 99
Part II Minisymposia
A Multilevel Domain Decomposition Solver Suited to Nonsmooth Mechanical Problems Damien Iceta Pierre Alart David Dureisseix 113
A FETI-2LM Method for Non-Matching Grids François-Xavier Roux 121
Truncated Nonsmooth Newton Multigrid Methods for Convex Minimization Problems Carsten Gräser Uli Sack Oliver Sander 129
A Recursive Trust-Region Method for Non-Convex Constrained Minimization Christian Gros Rolf Krause 137
A Robin Domain Decomposition Algorithm for Contact Problems: Convergence Results Mohamed Ipopa Taoufik Sassi 145
Patch Smoothers for Saddle Point Problems with Applications to PDE-Constrained Optimization Problems René Simon Walter Zulehner 153
A DomainDecomposition Preconditioner of Neumann-Neumann Type for the Stokes Equations Vitorita Dolean Frédéric Nataf Gerd Rapin 161
Non-overlapping Domain Decomposition for the Richards Equation via Superposition Operators Heiko Berninger 169
Convergence Behavior of a Two-Level Optimized Schwarz Preconditioner Olivier Dubois Martin J. Gander 177
An Algorithm for Non-Matching Grid Projections with Linear Complexity Martin J. Gander Caroline Japhet 185
A Maximum Principle for L²-Trace Norms with an Application to Optimized Schwarz Methods Sébastien Loisel Daniel B. Szyld 193
An Extended Mathematical Framework for Barrier Methods in Function Space Anton Schiela 201
Optimized Schwarz Preconditioning for SEM Based Magnetohydrodynamics Amik St-Cyr Duane Rosenberg Sang Dong Kim 209
Nonlinear Overlapping Domain Decomposition Methods Xiao-Chuan Cai 217
Optimized Schwarz Waveform Relaxation: Roots, Blossoms and Fruits Laurence Halpern 225
Optimized Schwarz Methods F. Nataf 233
The Development of Coarse Spaces for Domain Decomposition Algorithms Olof B. Widlund 241
Part III Contributed Presentations
Distributed Decomposition Over Hyperspherical Domains Aron Ahmadia David Keyes David Melville Alan Rosenbluth Kehan Tian 251
Domain Decomposition Preconditioning for Discontinuous Galerkin Approximations of Convection-Diffusion Problems Paola F. Antonietti Endre Siili 259
Linearly Implicit Domain Decomposition Methods for Nonlinear Time-Dependent Reaction-Diffusion Problems A. Arrarás L. Portero J.C. Jorge 267
NKS for Fully Coupled Fluid-Structure Interaction with Application Andrew T. Barker Xiao-Chuan Cai 275
Weak Information Transfer between Non-Matching Warped Interfaces Thomas Dickopf Rolf Krause 283
Computational Tool for a Mini-Windmill Study with SOFT M. Garbey M. Smaoui N. De Brye C. Picard 291
On Preconditioners for Generalized Saddle Point Problems with an Indefinite Block Piotr Krzyzanowski 299
Lower Bounds for Eigenvalues of Elliptic Operators by Overlapping Domain Decomposition Yuri A. Kuznetsov 307
From the Boundary Element Domain Decomposition Methods to Local Trefftz Finite Element Methods on Polyhedral Meshes Dylan Copeland Ulrich Langer David Pusch 315
An Additive Neumann-Neumann Method for Mortar Finite Element for 4th Order Problems Leszek Marcinkowski 323
A Numerically Efficient Scheme for Elastic Immersed Boundaries F. Pacull M. Garbey 331
A Domain Decomposition Method Based on Augmented Lagrangian with a Penalty Term Chang-Ock Lee Eun-Hee Park 339
Parallelization of a Constrained Three-Dimensional Maxwell Solver F. Assous J. Segré E. Sonnendrücker 347
A Discovery Algorithm for the Algebraic Construction of Optimized Schwarz Preconditioners Amik St-Cyr Martin J. Gander 355
On the Convergence of Optimized Schwarz Methods by way of Matrix Analysis Sébastien Loisel Daniel B. Szyld 363