Preconditioning of GMRES for Helmholtz problems with quasimodes
Fuente:
arXiv
Saved in:
| Main Authors: | Dolean, Victorita, Marchand, Pierre, Modave, Axel, Raynaud, Timothée |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Convergence analysis of GMRES applied to Helmholtz problems near resonances
by: Dolean, Victorita, et al.
Published: (2025)
by: Dolean, Victorita, et al.
Published: (2025)
Numerical assessment of PML transmission conditions in a domain decomposition method for the Helmholtz equation
by: Bootland, Niall, et al.
Published: (2022)
by: Bootland, Niall, et al.
Published: (2022)
Two-level preconditioners for the Helmholtz equation
by: Bonazzoli, Marcella, et al.
Published: (2017)
by: Bonazzoli, Marcella, et al.
Published: (2017)
Can Symmetric Positive Definite (SPD) coarse spaces perform well for indefinite Helmholtz problems?
by: Dolean, Victorita, et al.
Published: (2024)
by: Dolean, Victorita, et al.
Published: (2024)
Neural network-driven domain decomposition for efficient solutions to the Helmholtz equation
by: Dolean, Victorita, et al.
Published: (2025)
by: Dolean, Victorita, et al.
Published: (2025)
Schwarz preconditioner with $H_k$-GenEO coarse space for the indefinite Helmholtz problem
by: Dolean, Victorita, et al.
Published: (2024)
by: Dolean, Victorita, et al.
Published: (2024)
Nonlinear Multilevel Solution Strategies for Diffusive Wave Flood Models in Perforated Domains
by: Boutilier, Miranda, et al.
Published: (2024)
by: Boutilier, Miranda, et al.
Published: (2024)
Robust Methods for Multiscale Coarse Approximations of Diffusion Models in Perforated Domains
by: Boutilier, Miranda, et al.
Published: (2023)
by: Boutilier, Miranda, et al.
Published: (2023)
Modal analysis of a domain decomposition method for Maxwell's equations in a waveguide
by: Dolean, Victorita, et al.
Published: (2025)
by: Dolean, Victorita, et al.
Published: (2025)
A Guided Tour of Modern Domain Decomposition: From Schwarz Iterations to Robust Preconditioners and HPC Implementations
by: Dolean, Victorita, et al.
Published: (2026)
by: Dolean, Victorita, et al.
Published: (2026)
Local Feature Filtering for Scalable and Well-Conditioned Domain-Decomposed Random Feature Methods
by: van Beek, Jan Willem, et al.
Published: (2025)
by: van Beek, Jan Willem, et al.
Published: (2025)
ELM-FBPINNs: An Efficient Multilevel Random Feature Method
by: Anderson, Samuel, et al.
Published: (2024)
by: Anderson, Samuel, et al.
Published: (2024)
Multilevel domain decomposition-based architectures for physics-informed neural networks
by: Dolean, Victorita, et al.
Published: (2023)
by: Dolean, Victorita, et al.
Published: (2023)
Achieving wavenumber robustness in domain decomposition for heterogeneous Helmholtz equation: an overview of spectral coarse spaces
by: Dolean, Victorita, et al.
Published: (2025)
by: Dolean, Victorita, et al.
Published: (2025)
A two-level domain-decomposition preconditioner for the time-harmonic Maxwell's equations
by: Bonazzoli, Marcella, et al.
Published: (2017)
by: Bonazzoli, Marcella, et al.
Published: (2017)
Properties of Nonlinear GMRES Applied to the Preconditioned Richardson Iteration
by: He, Yunhui
Published: (2026)
by: He, Yunhui
Published: (2026)
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states
by: Chaumont-Frelet, T., et al.
Published: (2022)
by: Chaumont-Frelet, T., et al.
Published: (2022)
A robust and adaptive GenEO-type domain decomposition preconditioner for $\mathbf{H}(\mathbf{curl})$ problems in three-dimensional general topologies
by: Bootland, Niall, et al.
Published: (2023)
by: Bootland, Niall, et al.
Published: (2023)
Spectral coarse spaces based on indefinite operators: the $H_k$-GenEO method
by: Chaumont-Frelet, Théophile, et al.
Published: (2026)
by: Chaumont-Frelet, Théophile, et al.
Published: (2026)
Are Deep Learning Based Hybrid PDE Solvers Reliable? Why Training Paradigms and Update Strategies Matter
by: Wu, Yuhan, et al.
Published: (2026)
by: Wu, Yuhan, et al.
Published: (2026)
A hybridizable discontinuous Galerkin method with transmission variables for time-harmonic acoustic problems in heterogeneous media
by: Pescuma, Simone, et al.
Published: (2025)
by: Pescuma, Simone, et al.
Published: (2025)
Hybrid-Precision Block-Jacobi Preconditioned GMRES Solver for Linear System in Circuit Simulation
by: Zhang, Zijian, et al.
Published: (2025)
by: Zhang, Zijian, et al.
Published: (2025)
Convergence rates of curved boundary element methods for the 3D Laplace and Helmholtz equations
by: Faria, Luiz Maltez, et al.
Published: (2025)
by: Faria, Luiz Maltez, et al.
Published: (2025)
New Convergence Analysis of GMRES with Weighted Norms, Preconditioning and Deflation, Leading to a New Deflation Space
by: Spillane, Nicole, et al.
Published: (2023)
by: Spillane, Nicole, et al.
Published: (2023)
Preconditioning Low Rank Generalized Minimal Residual Method (GMRES) for Implicit Discretizations of Matrix Differential Equations
by: Meng, Shixu, et al.
Published: (2024)
by: Meng, Shixu, et al.
Published: (2024)
Stabilizing randomized GMRES through flexible GMRES
by: Güttel, Stefan, et al.
Published: (2025)
by: Güttel, Stefan, et al.
Published: (2025)
An Iterative Block Matrix Inversion (IBMI) Algorithm for Symmetric Positive Definite Matrices with Applications to Covariance Matrices
by: Paterson, Ann, et al.
Published: (2025)
by: Paterson, Ann, et al.
Published: (2025)
Matrix-Free Geometric Multigrid Preconditioning Of Combined Newton-GMRES For Solving Phase-Field Fracture With Local Mesh Refinement
by: Kolditz, Leon Maximilian, et al.
Published: (2024)
by: Kolditz, Leon Maximilian, et al.
Published: (2024)
A hybridizable discontinuous Galerkin method with transmission variables for time-harmonic electromagnetic problems
by: Rappaport, Ari E., et al.
Published: (2025)
by: Rappaport, Ari E., et al.
Published: (2025)
Superlinear Convergence of GMRES for clustered eigenvalues and its application to least squares problems
by: Liao, Zeyu, et al.
Published: (2024)
by: Liao, Zeyu, et al.
Published: (2024)
Extending Elman's Bound for GMRES
by: Embree, Mark
Published: (2023)
by: Embree, Mark
Published: (2023)
When can a neural operator replace a coarse solve? Architectural principles for two-level preconditioning
by: Melchers, Hugo, et al.
Published: (2026)
by: Melchers, Hugo, et al.
Published: (2026)
Preconditioning FEM discretisations of the high-frequency Helmholtz and Maxwell equations by either perturbing the coefficients or adding absorption
by: Spence, Euan A.
Published: (2025)
by: Spence, Euan A.
Published: (2025)
High-Resolution Solvers for 3D Helmholtz Scattering Problems Using PFFT and Eigenvector-Based Preconditioning
by: Gryazin, Yury, et al.
Published: (2026)
by: Gryazin, Yury, et al.
Published: (2026)
The GMRES method for solving the large indefinite least squares problem via an accelerated preconditioner
by: Li, Jun, et al.
Published: (2025)
by: Li, Jun, et al.
Published: (2025)
Mixed precision sketching for least-squares problems and its application in GMRES-based iterative refinement
by: Carson, Erin, et al.
Published: (2024)
by: Carson, Erin, et al.
Published: (2024)
Preprocessed GMRES for fast solution of linear equations
by: Zhang, Juan, et al.
Published: (2024)
by: Zhang, Juan, et al.
Published: (2024)
Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES
by: Matalon, Pierre, et al.
Published: (2025)
by: Matalon, Pierre, et al.
Published: (2025)
Convergence Analysis of An Alternating Nonlinear GMRES on Linear Systems
by: He, Yunhui
Published: (2025)
by: He, Yunhui
Published: (2025)
Preconditioned pseudo-time continuation for parameterized inverse problems
by: Hart, Joseph, et al.
Published: (2025)
by: Hart, Joseph, et al.
Published: (2025)
Similar Items
-
Convergence analysis of GMRES applied to Helmholtz problems near resonances
by: Dolean, Victorita, et al.
Published: (2025) -
Numerical assessment of PML transmission conditions in a domain decomposition method for the Helmholtz equation
by: Bootland, Niall, et al.
Published: (2022) -
Two-level preconditioners for the Helmholtz equation
by: Bonazzoli, Marcella, et al.
Published: (2017) -
Can Symmetric Positive Definite (SPD) coarse spaces perform well for indefinite Helmholtz problems?
by: Dolean, Victorita, et al.
Published: (2024) -
Neural network-driven domain decomposition for efficient solutions to the Helmholtz equation
by: Dolean, Victorita, et al.
Published: (2025)