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Domain Decomposition Methods in Science and Engineering [2005]

3
Non-matching Grids and Lagrange Multipliers
19
A FETI Method for a Class of Indefinite or Complex Second- or Fourth-Order Problems
35
Hybrid Schwarz-Multigrid Methods for the Spectral Element Method: Extensions to Navier-Stokes
51
Numerical Approximation of Dirichlet-to-Neumann Mapping and its Application to Voice Generation Problem
67
Selecting Constraints in Dual-Primal FETI Methods for Elasticity in Three Dimensions
83
Coupled Boundary and Finite Element Tearing and Interconnecting Methods
99
Parallel Simulation of Multiphase/Multicomponent Flow Models
115
Uncoupling-Coupling Techniques for Metastable Dynamical Systems
133
On the Construction of Approximate Boundary Conditions for Solving the Interior Problem of the Acoustic Scattering Transmission Problem
141
Approximation and Fast Calculation of Non-local Boundary Conditions for the Time-dependent Schrödinger Equation
149
Domain Decomposition and Additive Schwarz Techniques in the Solution of a TE Model of the Scattering by an Electrically Deep Cavity
159
A Model for Parallel Adaptive Finite Element Software
167
Towards a Unified Framework for Scientific Computing
175
Distributed Point Objects. A New Concept for Parallel Finite Elements
185
Local Defect Correction Techniques Applied to a Combustion Problem
193
Electronic Packaging and Reduction in Modelling Time Using Domain Decomposition
201
Improving Robustness and Parallel Scalability of Newton Method Through Nonlinear Preconditioning
209
Iterative Substructuring Methods for Indoor Air Flow Simulation
217
Fluid-Structure Interaction Using Nonconforming Finite Element Methods
225
Interaction Laws in Viscous-Inviscid Coupling
235
Comparison of the Dirichlet-Neumann and Optimal Schwarz Method on the Sphere
243
Finite Volume Methods on Non-Matching Grids with Arbitrary Interface Conditions and Highly Heterogeneous Media
251
Nonlinear Advection Problems and Overlapping Schwarz Waveform Relaxation
259
A New Cement to Glue Nonconforming Grids with Robin Interface Conditions: The Finite Element Case
267
Acceleration of a Domain Decomposition Method for Advection-Diffusion Problems
275
A Stabilized Three-Field Formulation and its Decoupling for Advection-Diffusion Problems
283
Approximation of Optimal Interface Boundary Conditions for Two-Lagrange Multiplier FETI Method
291
Optimized Overlapping Schwarz Methods for Parabolic PDEs with Time-Delay
301
A More General Version of the Hybrid-Trefftz Finite Element Model by Application of TH-Domain Decomposition
311
Mixed Finite Element Methods for Diffusion Equations on Nonmatching Grids
319
Mortar Finite Elements with Dual Lagrange Multipliers: Some Applications
327
Non-Conforming Finite Element Methods for Nonmatching Grids in Three Dimensions
335
On an Additive Schwarz Preconditioner for the Crouzeix-Raviart Mortar Finite Element
345
A FETI-DP Method for the Mortar Discretization of Elliptic Problems with Discontinuous Coefficients
353
A FETI-DP Formulation for Two-dimensional Stokes Problem on Nonmatching Grids
361
Some Computational Results for Dual-Primal FETI Methods for Elliptic Problems in 3D
369
The FETI Based Domain Decomposition Method for Solving 3D-Multibody Contact Problems with Coulomb Friction
377
Choosing Nonmortars: Does it Influence the Performance of FETI-DP Algorithms?
387
Domain Decomposition Methods in Electrothermomechanical Coupling Problems
395
A Multiphysics Strategy for Free Surface Flows
405
Weighted Norm-Equivalences for Preconditioning
415
Preconditioning for Heterogeneous Problems
425
On the Convergence and the Stability of the Parareal Algorithm to Solve Partial Differential Equations
433
A Parareal in Time Semi-implicit Approximation of the Navier-Stokes Equations
441
The Parareal in Time Iterative Solver: a Further Direction to Parallel Implementation
449
Stability of the Parareal Algorithm
459
Multilevel Homotopic Adaptive Finite Element Methods for Convection Dominated Problems
469
A Convergent Algorithm for Time Parallelization Applied to Reservoir Simulation
477
Nonlinear Positive Interpolation Operators for Analysis with Multilevel Grids
487
On Scalable Algorithms for Numerical Solution of Variational Inequalities Based on FETI and Semi-monotonic Augmented Lagrangians
495
Fast Solving of Contact Problems on Complicated Geometries
505
Generalized Aitken-like Acceleration of the Schwarz Method
513
The Fat Boundary Method: Semi-Discrete Scheme and Some Numerical Experiments
521
Modelling of an Underground Waste Disposal Site by Upscaling and Simulation with Domain Decomposition Method
529
Non-Overlapping DDMs to Solve Flow in Heterogeneous Porous Media
537
Domain Embedding/Controllability Methods for the Conjugate Gradient Solution of Wave Propagation Problems
547
An Accelerated Block-Parallel Newton Method via Overlapped Partitioning
555
Generation of Balanced Subdomain Clusters with Minimum Interface for Distributed Domain Decomposition Applications
563
Iterative Methods for Stokes/Darcy Coupling
571
Preconditioning Techniques for the Bidomain Equations
581
Direct Schur Complement Method by Hierarchical Matrix Techniques
589
Balancing Neumann-Neumann Methods for Elliptic Optimal Control Problems
597
Domain Decomposition Preconditioners for Spectral Nédélec Elements in Two and Three Dimensions
605
Parallel Distributed Object-Oriented Framework for Domain Decomposition
615
A Domain Decomposition Based Two-Level Newton Scheme for Nonlinear Problems
623
Domain Decomposition for Discontinuous Galerkin Method with Application to Stokes Flow
631
Hierarchical Matrices for Convection-Dominated Problems
639
Parallel Performance of Some Two-Level ASPIN Algorithms
647
Algebraic Analysis of Schwarz Methods for Singular Systems
653
Schwarz Waveform Relaxation Method for the Viscous Shallow Water Equations
661
A Two-Grid Alternate Strip-Based Domain Decomposition Strategy in Two-Dimensions
669
Parallel Solution of Cardiac Reaction-Diffusion Models
677
Predictor-Corrector Methods for Solving Continuous Casting Problem
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