A Short Note on Solving Partial Differential Equations Using Convolutional Neural Networks (English)
- New search for: Grimm, Viktor
- New search for: Heinlein, Alexander
- New search for: Klawonn, Axel
- New search for: Dostál, Zdeněk
- New search for: Kozubek, Tomáš
- New search for: Klawonn, Axel
- New search for: Langer, Ulrich
- New search for: Pavarino, Luca F.
- New search for: Šístek, Jakub
- New search for: Widlund, Olof B.
- New search for: Grimm, Viktor
- New search for: Heinlein, Alexander
- New search for: Klawonn, Axel
In:
Domain Decomposition Methods in Science and Engineering XXVII
;
Chapter: 1
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3-14
;
2024
- Article/Chapter (Book) / Electronic Resource
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Title:A Short Note on Solving Partial Differential Equations Using Convolutional Neural Networks
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Additional title:Lect.Notes Computat.Science
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Contributors:Dostál, Zdeněk ( editor ) / Kozubek, Tomáš ( editor ) / Klawonn, Axel ( editor ) / Langer, Ulrich ( editor ) / Pavarino, Luca F. ( editor ) / Šístek, Jakub ( editor ) / Widlund, Olof B. ( editor ) / Grimm, Viktor ( author ) / Heinlein, Alexander ( author ) / Klawonn, Axel ( author )
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Conference:International Conference on Domain Decomposition Methods ; 2022 ; Prague, Czech Republic
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Published in:Domain Decomposition Methods in Science and Engineering XXVII ; Chapter: 1 ; 3-14
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Publisher:
- New search for: Springer Nature Switzerland
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Place of publication:Cham
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Publication date:2024-01-23
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Size:12 pages
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ISBN:
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ISSN:
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DOI:
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Type of media:Article/Chapter (Book)
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Type of material:Electronic Resource
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Language:English
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Keywords:
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Source:
Table of contents eBook
The tables of contents are generated automatically and are based on the data records of the individual contributions available in the index of the TIB portal. The display of the Tables of Contents may therefore be incomplete.
- 1
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A Short Note on Solving Partial Differential Equations Using Convolutional Neural NetworksGrimm, Viktor / Heinlein, Alexander / Klawonn, Axel et al. | 2024
- 2
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Optimized Robin Transmission Conditions for Anisotropic Diffusion on Arbitrary MeshesGander, Martin J. / Halpern, Laurence / Hubert, Florence / Krell, Stella et al. | 2024
- 3
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Domain Decomposition Algorithms for Neural Network Approximation of Partial Differential EquationsKim, Hyea Hyun / Yang, Hee Jun et al. | 2024
- 4
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Convergence Bounds for One-Dimensional ASH and RASSarkis, Marcus / Dryja, Maksymilian et al. | 2024
- 5
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Weak Scalability of Domain Decomposition Methods for Discrete Fracture NetworksBerrone, Stefano / Vanzan, Tommaso et al. | 2024
- 6
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How Does the Partition of Unity Influence SORAS Preconditioner?Bonazzoli, Marcella / Claeys, Xavier / Nataf, Frederic / Tournier, Pierre-Henri et al. | 2024
- 7
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Convergence of the Micro-Macro Parareal Method for a Linear Scale-Separated Ornstein-Uhlenbeck SDEBossuyt, Ignace / Vandewalle, Stefan / Samaey, Giovanni et al. | 2024
- 8
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A Trefftz-Like Coarse Space for the Two-Level Schwarz Method on Perforated DomainsBoutilier, Miranda / Brenner, Konstantin / Dolean, Victorita et al. | 2024
- 9
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On Global and Monotone Convergence of the Preconditioned Newton’s Method for Some Mildly Nonlinear SystemsBrenner, Konstantin et al. | 2024
- 10
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Optimized Schwarz Method in Time for Transport ControlBui, Duc-Quang / Delourme, Berangere / Halpern, Laurence / Kwok, Felix et al. | 2024
- 11
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An Overlapping Preconditioner for 2D Virtual Problems Posed in H(rot) with Irregular SubdomainsCalvo, Juan G. / Herrera, César / Sequeira, Filánder A. et al. | 2024
- 12
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A Two-Level Restricted Additive Schwarz Method for Asynchronous ComputationsChaouqui, Faycal / Szyld, Daniel B. et al. | 2024
- 13
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Cross-Points in the Neumann-Neumann MethodChaudet-Dumas, Bastien / Gander, Martin J. et al. | 2024
- 14
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A Preconditioner for Free-Surface Hydrodynamics BEMCiaramella, Gabriele / Gambarini, Marco / Miglio, Edie et al. | 2024
- 15
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A Performance Comparison of Classical Volume and New Substructured One- and Two-Level Schwarz Methods in PETScCiaramella, Gabriele / Gander, Martin J. / Van Criekingen, Serge / Vanzan, Tommaso et al. | 2024
- 16
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Semi-Discrete Analysis of a Simplified Air-Sea Coupling Problem with Nonlinear Coupling ConditionsClement, Simon / Lemarie, Florian / Blayo, Eric et al. | 2024
- 17
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A Block Jacobi Sweeping Preconditioner for the Helmholtz EquationDai, Ruiyang et al. | 2024
- 18
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Optimized Neumann-Neumann Method for the Stokes-Darcy ProblemDiscacciati, Marco / Robinson, Jake et al. | 2024
- 19
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Finite Basis Physics-Informed Neural Networks as a Schwarz Domain Decomposition MethodDolean, Victorita / Heinlein, Alexander / Mishra, Siddhartha / Moseley, Ben et al. | 2024
- 20
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Multigrid Interpretation of a Three-Level Parareal AlgorithmFriedhoff, Stephanie / Gander, Martin J. / Kwok, Felix et al. | 2024
- 21
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Coupling Dispersive Shallow Water Models by Deriving Asymptotic Interface OperatorsGalaz, Jose / Kazolea, Maria / Rousseau, Antoine et al. | 2024
- 22
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Piece-wise Constant, Linear and Oscillatory: a Historical Introduction to Spectral Coarse Spaces with Focus on Schwarz MethodsGander, Martin J. / Halpern, Laurence et al. | 2024
- 23
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A New Nodal Integration Method for Helmholtz Problems Based on Domain Decomposition TechniquesGander, Martin J. / Kumar, Niteen et al. | 2024
- 24
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Dirichlet-Neumann and Neumann-Neumann Methods for Elliptic Control ProblemsGander, Martin J. / Lu, Liu-Di et al. | 2024
- 25
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An Introduction to Heterogeneous Domain Decomposition Methods for Multi-Physics ProblemsGander, Martin J. / Martin, Veronique et al. | 2024
- 26
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Substructuring of Arbitrary Domain Decomposition MethodsGander, Martin J. / Nataf, Frédéric et al. | 2024
- 27
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Spectral Q1-Based Coarse Spaces for Schwarz MethodsGander, Martin J. / Van Criekingen, Serge et al. | 2024
- 28
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Optimized Schwarz Methods for Stokes-Darcy Flows: the Brinkman EquationsGander, Martin J. / Wang, Yiying / Xu, Yingxiang et al. | 2024
- 29
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Parareal Algorithms for the Cahn-Hilliard EquationGarai, Gobinda / Mandal, Bankim C. et al. | 2024
- 30
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A Parallel Space-Time Finite Element Method for the Simulation of an Electric MotorGangl, Peter / Gobrial, Mario / Steinbach, Olaf et al. | 2024
- 31
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Reynolds-BlendedWeights for BDDC in Applications to Incompressible FlowsHanek, Martin / Šistek, Jakub / Brandner, Marek et al. | 2024
- 32
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Neural Network Interface Condition Approximation in a Domain Decomposition Method Applied to Maxwell’s EquationsKnoke, Tobias / Kinnewig, Sebastian / Beuchler, Sven / Wick, Thomas et al. | 2024
- 33
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Learning Adaptive FETI-DP Constraints for Irregular Domain DecompositionsKlawonn, Axel / Lanser, Martin / Weber, Janine et al. | 2024
- 34
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Adaptive Three-Level BDDC Using Frugal ConstraintsKlawonn, Axel / Lanser, Martin / Weber, Janine et al. | 2024
- 35
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Efficient Adaptive Elimination Strategies in Nonlinear FETI-DP Methods in Combination with Adaptive Spectral Coarse SpacesKlawonn, Axel / Lanser, Martin et al. | 2024
- 36
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On the Use of Hybrid Coarse-Level Models in Multilevel Minimization MethodsKopanicakova, Alena et al. | 2024
- 37
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Nonlinear Schwarz Preconditioning for Quasi-Newton MethodsKothari, Hardik et al. | 2024
- 38
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Nonlinear Schwarz Preconditioning for Nonlinear Optimization Problems with Bound ConstraintsKothari, Hardik / Kopanicáková, Alena / Krause, Rolf et al. | 2024
- 39
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Domain Decomposition Solvers for Operators with Fractional Interface PerturbationsKuchta, Miroslav et al. | 2024
- 40
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Optimized Schwarz Methods for Isogeometric AnalysisLaayouni, Lahcen / Ratnani, Ahmed / Rifqui, Abdessadek et al. | 2024
- 41
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An Alternating Approach for Optimizing Transmission Conditions in Algebraic Schwarz MethodsGander, Martin J. / Laayouni, Lahcen / Szyld, Daniel B. et al. | 2024
- 42
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FETI-DP Algorithms for 2D Biot Model with Discontinuous Galerkin DiscretizationLee, Pilhwa et al. | 2024
- 43
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Linear, Super-Linear and Combined Fourier Heat Kernel Convergence Estimates for SchwarzWaveform RelaxationGander, Martin J. / Martin, Véronique et al. | 2024
- 44
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Cyclic and Chaotic Examples in Schwarz-Preconditioned Newton MethodsMcCoid, Conor / Gander, Martin J. et al. | 2024
- 45
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Global-Local Forward Models within Bayesian Inversion for Large Strain Fracturing in Porous MediaNoii, Nima / Wick, Thomas / Khodadadian, Amirreza et al. | 2024
- 46
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On Algebraic Bounds for POSM and MRASGander, Martin J. / Outrata, Michal et al. | 2024
- 47
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Hierarchical LU Preconditioning for the Time-Harmonic Maxwell EquationParvizi, Maryam / Khodadadian, Amirreza / Beuchler, Sven / Wick, Thomas et al. | 2024
- 48
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Convergence Bounds for Parareal with Spatial CoarseningPogoželskyt˙e, Aušra / Gander, Martin J. et al. | 2024
- 49
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Three-Level NOSAS PreconditionersYu, Yi / Sarkis, Marcus et al. | 2024
- 50
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Optimized Schwarz Method for Coupled Direct-Adjoint Problems Applied to Parameter Identification in Advection-Diffusion EquationVieira, Alexandre / Cocquet, Pierre-Henri et al. | 2024
- 51
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Three-Level BDDC for Virtual ElementsKlawonn, Axel / Lanser, Martin / Wasiak, Adam et al. | 2024
- 52
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An Adaptive Overlapping Schwarz Algorithm for Isogeometric AnalysisWidlund, Olof B. / Pavarino, Luca F. / Scacchi, Simone / Zampini, Stefano et al. | 2024
- 53
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Numerical Assessment of PML Transmission Conditions in a Domain Decomposition Method for the Helmholtz EquationBootland, Niall / Borzooei, Sahar / Dolean, Victorita / Tournier, Pierre-Henri et al. | 2024
- 54
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Unmapped Tent Pitching Schemes by Waveform RelaxationCiaramella, Gabriele / Gander, Martin J. / Mazzieri, Ilario et al. | 2024
- 55
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A 2-Level Domain Decomposition Preconditioner for KKT Systems with Heat-Equation ConstraintsCyr, Eric C. et al. | 2024
- 56
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Auxiliary Space Preconditioning with a Symmetric Gauss-Seidel Smoothing Scheme for IsoGeometric Discretization of H0(curlo)-elliptic ProblemAkri, Abdeladim El / Jbilou, Khalide / Ouhaddou, Nouredine / Ratnani, Ahmed et al. | 2024
- 57
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Composing Two Different Nonlinear FETI–DP MethodsKohler, Stephan / Rheinbach, Oliver et al. | 2024
- 58
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Biot Model with Generalized Eigenvalue Problems for Scalability and Robustness to ParametersLee, Pilhwa et al. | 2024
- 59
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Adaptive Schwarz Method for a Non-Conforming Crouzeix-Raviart Discretization of a Multiscale Elliptic ProblemMarcinkowski, Leszek / Rahman, Talal et al. | 2024
- 60
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A Variational-Based Multirate Time-Integrator for FETI and Structural Dynamics: Lagrange-Multiplier with Micro-DiscretizationSeibold, Andreas S. / Rixen, Daniel J. et al. | 2024
- 61
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Accelerated Convergence of the Pipelined Dynamic Iteration Method for RLC CircuitsShourick, Hélèna / Tromeur-Dervout, Damien / Chédot, Laurent et al. | 2024
- 62
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GPU Optimizations for the Hierarchical Poincaré-Steklov SchemeYesypenko, Anna / Martinsson, Per-Gunnar et al. | 2024