Domain Decomposition Methods in Science and Engineering XXIII

Front Matter....Pages i-xviii
Front Matter....Pages 1-1
Global Convergence Rates of Some Multilevel Methods for Variational and Quasi-Variational Inequalities....Pages 3-16
Parallel Sum Primal Spaces for Isogeometric Deluxe BDDC Preconditioners....Pages 17-29
Development of Nonlinear Structural Analysis Using Co-rotational Finite Elements with Improved Domain Decomposition Method....Pages 31-42
An Adaptive Coarse Space for P.L. Lions Algorithm and Optimized Schwarz Methods....Pages 43-53
On the Time-Domain Decomposition of Parabolic Optimal Control Problems....Pages 55-67
Preconditioning for Nonsymmetry and Time-Dependence....Pages 69-80
Algebraic Adaptive Multipreconditioning Applied to Restricted Additive Schwarz....Pages 81-91
Front Matter....Pages 93-104
Closed Form Inverse of Local Multi-Trace Operators....Pages 105-105
Schwarz Preconditioning for High Order Edge Element Discretizations of the Time-Harmonic Maxwell’s Equations....Pages 107-115
On Nilpotent Subdomain Iterations....Pages 117-124
A Direct Elliptic Solver Based on Hierarchically Low-Rank Schur Complements....Pages 125-133
Optimized Schwarz Methods for Heterogeneous Helmholtz and Maxwell’s Equations....Pages 135-143
On the Origins of Linear and Non-linear Preconditioning....Pages 145-152
Time Parallelization for Nonlinear Problems Based on Diagonalization....Pages 153-161
The Effect of Irregular Interfaces on the BDDC Method for the Navier-Stokes Equations....Pages 163-170
BDDC and FETI-DP Methods with Enriched Coarse Spaces for Elliptic Problems with Oscillatory and High Contrast Coefficients....Pages 171-178
Adaptive Coarse Spaces for FETI-DP in Three Dimensions with Applications to Heterogeneous Diffusion Problems....Pages 179-186
Newton-Krylov-FETI-DP with Adaptive Coarse Spaces....Pages 187-196
New Nonlinear FETI-DP Methods Based on a Partial Nonlinear Elimination of Variables....Pages 197-205
Front Matter....Pages 207-215
Direct and Iterative Methods for Numerical Homogenization....Pages 105-105
Nonlinear Multiplicative Schwarz Preconditioning in Natural Convection Cavity Flow....Pages 217-225
Treatment of Singular Matrices in the Hybrid Total FETI Method....Pages 227-235
From Surface Equivalence Principle to Modular Domain Decomposition....Pages 237-244
Space-Time CFOSLS Methods with AMGe Upscaling....Pages 245-252
Scalable BDDC Algorithms for Cardiac Electromechanical Coupling....Pages 253-260
A BDDC Algorithm for Weak Galerkin Discretizations....Pages 261-268
Parallel Sums and Adaptive BDDC Deluxe....Pages 269-276
Adaptive BDDC Deluxe Methods for H(curl)....Pages 277-284
Front Matter....Pages 285-292
A Study of the Effects of Irregular Subdomain Boundaries on Some Domain Decomposition Algorithms....Pages 293-293
On the Definition of Dirichlet and Neumann Conditions for the Biharmonic Equation and Its Impact on Associated Schwarz Methods....Pages 295-302
SHEM: An Optimal Coarse Space for RAS and Its Multiscale Approximation....Pages 303-311
Optimized Schwarz Methods for Domain Decompositions with Parabolic Interfaces....Pages 313-321
A Mortar Domain Decomposition Method for Quasilinear Problems....Pages 323-331
Deflated Krylov Iterations in Domain Decomposition Methods....Pages 333-343
Parallel Overlapping Schwarz with an Energy-Minimizing Coarse Space....Pages 345-352
Volume Locking Phenomena Arising in a Hybrid Symmetric Interior Penalty Method with Continuous Numerical Traces....Pages 353-360
Dual-Primal Domain Decomposition Methods for the Total Variation Minimization....Pages 361-369
A Parallel Two-Phase Flow Solver on Unstructured Mesh in 3D....Pages 371-378
Two New Enriched Multiscale Coarse Spaces for the Additive Average Schwarz Method....Pages 379-387
Front Matter....Pages 389-396
Relaxing the Roles of Corners in BDDC by Perturbed Formulation....Pages 293-293
Simulation of Blood Flow in Patient-specific Cerebral Arteries with a Domain Decomposition Method....Pages 397-405
Back Matter....Pages 407-415
....Pages 417-424