Domain decomposition methods in science and engineering XVIII

Front Matter....Pages I-XVI
Front Matter....Pages 1-1
A Domain Decomposition Approach for Calculating the Graph Corresponding to a Fibrous Geometry....Pages 3-14
Adaptive Multilevel Interior-Point Methods in PDE Constrained Optimization....Pages 15-26
Numerical Homogeneisation Technique with Domain Decomposition Based a-posteriori Error Estimates....Pages 27-37
Multiscale Methods for Multiphase Flow in Porous Media....Pages 39-50
Mixed Plane Wave Discontinuous Galerkin Methods....Pages 51-62
Numerical Zoom and the Schwarz Algorithm....Pages 63-73
BDDC for Nonsymmetric Positive Definite and Symmetric Indefinite Problems....Pages 75-86
Accomodating Irregular Subdomains in Domain Decomposition Theory....Pages 87-98
Auxiliary Space Preconditioners for Mixed Finite Element Methods....Pages 99-109
Front Matter....Pages 111-111
A Multilevel Domain Decomposition Solver Suited to Nonsmooth Mechanical Problems....Pages 113-120
A FETI-2LM Method for Non-Matching Grids....Pages 121-128
Truncated Nonsmooth Newton Multigrid Methods for Convex Minimization Problems....Pages 129-136
A Recursive Trust-Region Method for Non-Convex Constrained Minimization....Pages 137-144
A Robin Domain Decomposition Algorithm for Contact Problems: Convergence Results....Pages 145-152
Patch Smoothers for Saddle Point Problems with Applications to PDE-Constrained Optimization Problems....Pages 153-160
A Domain Decomposition Preconditioner of Neumann-Neumann Type for the Stokes Equations....Pages 161-168
Non-overlapping Domain Decomposition for the Richards Equation via Superposition Operators....Pages 169-176
Convergence Behavior of a Two-Level Optimized Schwarz Preconditioner....Pages 177-184
An Algorithm for Non-Matching Grid Projections with Linear Complexity....Pages 185-192
A Maximum Principle for L 2 -Trace Norms with an Application to Optimized Schwarz Methods....Pages 193-200
Front Matter....Pages 111-111
An Extended Mathematical Framework for Barrier Methods in Function Space....Pages 201-208
Optimized Schwarz Preconditioning for SEM Based Magnetohydrodynamics....Pages 209-216
Nonlinear Overlapping Domain Decomposition Methods....Pages 217-224
Optimized Schwarz Waveform Relaxation: Roots, Blossoms and Fruits....Pages 225-232
Optimized Schwarz Methods....Pages 233-240
The Development of Coarse Spaces for Domain Decomposition Algorithms....Pages 241-248
Front Matter....Pages 249-249
Distributed Decomposition Over Hyperspherical Domains....Pages 251-258
Domain Decomposition Preconditioning for Discontinuous Galerkin Approximations of Convection-Diffusion Problems....Pages 259-266
Linearly Implicit Domain Decomposition Methods for Nonlinear Time-Dependent Reaction-Diffusion Problems....Pages 267-274
NKS for Fully Coupled Fluid-Structure Interaction with Application....Pages 275-282
Weak Information Transfer between Non-Matching Warped Interfaces....Pages 283-290
Computational Tool for a Mini-Windmill Study with SOFT....Pages 291-297
On Preconditioners for Generalized Saddle Point Problems with an Indefinite Block....Pages 299-306
Lower Bounds for Eigenvalues of Elliptic Operators by Overlapping Domain Decomposition....Pages 307-314
From the Boundary Element Domain Decomposition Methods to Local Trefftz Finite Element Methods on Polyhedral Meshes....Pages 315-322
An Additive Neumann-Neumann Method for Mortar Finite Element for 4th Order Problems....Pages 323-330
A Numerically Efficient Scheme for Elastic Immersed Boundaries....Pages 331-338
A Domain Decomposition Method Based on Augmented Lagrangian with a Penalty Term....Pages 339-346
Parallelization of a Constrained Three-Dimensional Maxwell Solver....Pages 347-354
A Discovery Algorithm for the Algebraic Construction of Optimized Schwarz Preconditioners....Pages 355-362
Front Matter....Pages 249-249
On the Convergence of Optimized Schwarz Methods by way of Matrix Analysis....Pages 363-370
Back Matter....Pages 379-384