Proceedings of the 28th International Conference on Domain Decomposition Methods at KAUST, Saudi Arabia
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Front Matter
Plenary Lectures
- Schwarz Waveform Relaxation and the Unmapped Tent-Pitching Method in 3D (Alberto Artoni, Gabriele Ciaramella, Martin Gander, and Ilario Mazzieri) (pdf)
- Local Surrogate Models with Reduced Dimensionality via Overlapping Domain Decomposition and Proper Generalized Decomposition (Marco Discacciati, Ben J. Evans, and Matteo Giacomini) (pdf)
- Nonlinear Monolithic Two-Level Schwarz Methods for the Navier-Stokes Equations (Axel Klawonn and Martin Lanser) (pdf)
- Elimination Strategies for Nonlinear Preconditioning of Incompressible Navier-Stokes (Jinfeng Zhang, Lulu Liu, and David Keyes) (pdf)
- Theory of Parallel Subspace Correction Methods for Smooth Convex Optimization (Jongho Park and Jinchao Xu) (pdf)
- Overlapping Subspaces and Singular Systems with Application to Isogeometric Analysis (Andrea Bressan, Massimiliano Martinelli, and Giancarlo Sangalli) (pdf)
- BDDC Preconditioners for 3D Virtual Element Discretizations of Saddle-Point Problems (Simone Scacchi, Tommaso Bevilacqua, Franco Dassi, and Stefano Zampini) (pdf)
Minisymposium 1: Nonlinear Preconditioning Techniques and Applications
- Nonlinear Elimination Preconditioned Space-Time Solution Algorithms for Hyperbolic PDE Problems (Chang-Wen Liang and Feng-Nan Hwang) (pdf)
- A Learning-Based Nonlinear Elimination Technique for Parameterized Incompressible Navier-Stokes Equations (Yingzhi Liu, Fenfen Qi, and Xiao-Chuan Cai) (pdf)
- A Mathematical Model for the Simulation of the Hemodynamics in a Patient-Specific Kidney (Fenfen Qi, Yingzhi Liu, Rongliang Chen, and Xiao-Chuan Cai) (pdf)
Minisymposium 2: HPC for Training Large Neural Network Models
- NNTile: A Machine Learning Framework Capable of Training Extremely Large GPT Language Models on a Single Node (Aleksandr Mikhalev, Aleksandr Katrutsa, Konstantin Sozykin, and Ivan Oseledets) (pdf)
Minisymposium 3: Novel Solution Techniques: Theory and Applications
- Adaptive Nonoverlapping Preconditioners for the Helmholtz Equation: Linear HDG (Yi Yu and Marcus Sarkis) (pdf)
- Adaptive Nonoverlapping Preconditioners for the Helmholtz Equation: h-FEM (Yi Yu, Marcus Sarkis, Guanglian Li, and Zhiwen Zhang) (pdf)
Minisymposium 4: Domain Decomposition and Machine Learning Algorithms
- ELM-FBPINN: Efficient Finite-Basis Physics-Informed Neural Networks (Samuel Anderson, Victorita Dolean, Ben Moseley, and Jennifer Pestana) (pdf)
- Two-Level Trust-Region Method with Random Subspaces (Andrea Angino, Alena Kopanicakova, and Rolf Krause) (pdf)
- Two-Level Deep Domain Decomposition Method (Victorita Dolean, Serge Gratton, Alexander Heinlein, and Valentin Mercier) (pdf)
- Nonlinear Two-Level Schwarz Methods: A Parallel Implementation in FROSch (Alexander Heinlein, Kyrill Ho, Axel Klawonn, and Martin Lanser) (pdf)
- Model Parallel Training and Transfer Learning for Convolutional Neural Networks by Domain Decomposition (Axel Klawonn, Martin Lanser, and Janine Weber) (pdf)
- Domain Decomposition Method with Randomized Neural Networks (Yong Shang, Alexander Heinlein, Siddhartha Mishra, and Fei Wang) (pdf)
Minisymposium 5: Solvers for Innovative PDE Discretizations and Applications
- A Computational Study of Algebraic Coarse Spaces for Two-Level Overlapping Additive Schwarz Preconditioners (Filipe Cumaru, Alexander Heinlein, and Hadi Hajibeygi) (pdf)
- Adaptive and Frugal BDDC Coarse Spaces for Virtual Element Discretizations of a Stokes Problem with Heterogeneous Viscosity (Tommaso Bevilacqua, Axel Klawonn, and Martin Lanser) (pdf)
Minisymposium 6: Schwarz Methods for Steady and Evolution Problems
- What Transmission Conditions are Algebraically Chosen by RAS? (Martin Gander, Laurence Halpern, and Lahcen Laayouni) (pdf)
- SPAI Approximations of Inverses of Subdomain Matrices for AOSM (Martin Gander, Lahcen Laayouni, and Daniel Szyld) (pdf)
- Acceleration of Algebraic Optimized Schwarz Methods Using GPU Computations (Safae Bourhnane, Lahcen Laayouni, and Imad Kissami) (pdf)
- Nonlinear Schwarz Methods to Compute Geodesics on Manifolds (Marco Sutti and Tommaso Vanzan) (pdf)
Minisymposium 7: Time Parallel Time Integration
- An Abstract Approach to the Robin-Robin Method (Emil Engström and Eskil Hansen) (pdf)
- Space-Time Parallel Methods for Linear Elastodynamics (Stéphanie Chaillat, Marion Darbas, Martin Gander, and Laurence Halpern) (pdf)
- A Parareal Algorithm Without Coarse Propagator? (Martin Gander, Mario Ohlberger, and Stephan Rave) (pdf)
- Time Parallelization of a Distributed Optimal Control Problem for the Wave Equation (Thanh Vuong Dang, Bérangère Delourme, and Laurence Halpern) (pdf)
- Continuous Analysis of Waveform Relaxation for Heterogeneous Heat Equations (Philipp Birken, Martin Gander, and Niklas Kotarsky) (pdf)
Minisymposium 8: Domain Decomposition Methods for High Frequency Wave Propagation
- Wavenumber Explicit Estimates of the Schwarz Preconditioner with Δ-GenEO Coarse Space for the Indefinite Helmholtz Problem (Victorita Dolean, Mark Fry, and Matthias Langer) (pdf)
- Schwarz Methods with PMLs for Helmholtz Problems: Fast Convergence at High Frequency (Jeffrey Galkowski, Shihua Gong, Ivan Graham, David Lafontaine, and Euan Spence) (pdf)
- Natural Damping of Time-Harmonic Waves and its Influence on Schwarz Methods (Martin Gander and Hui Zhang) (pdf)
- Optimization Methods for One Dimensional Elastodynamics (Theodoros Katsaounis, Grigorios Kounadis, Ioanna Mousikou, and Athanasios Tzavaras) (pdf)
- Coarse Spaces Based on Higher-Order Interpolation for Schwarz Preconditioners for Helmholtz Problems (Erik Sieburgh, Alexander Heinlein, Vandana Dwarka, and Cornelis Vuik) (pdf)
Minisymposium 9: Coarse Spaces and Transmission Conditions
- Coupling Conditions and Two-Level Methods on Graphs (Martin Gander, Florence Hubert, and Magali Ribot) (pdf)
- Merged Q1 Coarse Spaces for Schwarz Methods in 2D and 3D (Martin Gander and Serge Van Criekingen) (pdf)
Minisymposium 10: Polygonal Finite Elements, Discontiunuous Galerkin and Related Methods
- An Iterative Algorithm for Neural Network Approximation to Partial Differential Equations by Using Nonoverlapping Subdomain Partitions (Hyea Hyun Kim and Hee Jun Yang) (pdf)
Minisymposium 11: Transmission Conditions in Domain Decomposition and Optimal Control
- Variable Reduction as a Nonlinear Preconditioning Approach for Optimization Problems (Gabriele Ciaramella and Tommaso Vanzan) (pdf)
- Decompose-then-Optimize Versus Optimize-then-Decompose for the Poisson Problem in Minimization Form (Pierre-Henri Cocquet and Martin Gander) (pdf)
- Non-Overlapping Schwarz Methods in Time for Parabolic Optimal Control Problems (Martin Gander and Liu-Di Lu) (pdf)
- Techniques to Study Spectral Properties of the Robin-Schwarz Operator at the Continuous Level (Daniel Bennequin, François Cuvelier, Martin Gander, and Laurence Halpern) (pdf)
- Nonoverlapping Domain Decomposition of Parabolic Optimal Control Problems Revisited: Decompose-then-Optimize Versus Optimize-then-Decompose (Martin Gander and Günter Leugering) (pdf)
- Efficient Solution of State-Constrained Distributed Parabolic Optimal Control Problems (Richard Löscher, Michael Reichelt, and Olaf Steinbach) (pdf)
Minisymposium 12: Solvers for Large-Scale Parallel Computations
- Cell-by-Cell Modelling of Electrical Signaling in Myelinated Axons (Alessandro Gatti, Pietro Benedusi, and Simone Pezzuto) (pdf)
- Parallel Iterative Solvers for Discretized Reduced Optimality Systems (Ulrich Langer, Richard Löscher, Olaf Steinbach, and Huidong Yang) (pdf)
- An Immersed Domain Method for Fluid-Structure Interaction with Contact (Maria Nestola, Patrick Zulian, Diego Rossinelli, and Rolf Krause) (pdf)
Contributed Presentations
- Schwarz Methods for Mixed Problems (Ronald Haynes) (pdf)
- Combining FETI-DP Methods and Quasi-Newton Methods Using an SQP Approach (Stephan Köhler and Oliver Rheinbach) (pdf)
- Convergence of Neumann-Neumann Waveform Relaxation Algorithm with Time-Dependent Relaxation Parameter for Time-Fractional Sub-Diffusion and Diffusion-Wave Problems (Bankim Mandal and Soura Sana) (pdf)
