Massively parallel Schwarz methods for the high frequency Helmholtz equation
Fuente:
arXiv
Saved in:
| Main Authors: | Xie, Yan, Gong, Shihua, Graham, Ivan G., Spence, Euan A., Zhang, Chen-Song |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Schwarz methods with PMLs for Helmholtz problems: fast convergence at high frequency
by: Galkowski, Jeffrey, et al.
Published: (2024)
by: Galkowski, Jeffrey, et al.
Published: (2024)
Theory of two-level Schwarz preconditioners with piecewise-polynomial coarse spaces for the high-frequency Helmholtz equation
by: Graham, Ivan G., et al.
Published: (2025)
by: Graham, Ivan G., et al.
Published: (2025)
Convergence theory for two-level hybrid Schwarz preconditioners for high-frequency Helmholtz problems
by: Galkowski, Jeffrey, et al.
Published: (2025)
by: Galkowski, Jeffrey, et al.
Published: (2025)
Convergence of overlapping domain decomposition methods with PML transmission conditions applied to nontrapping Helmholtz problems
by: Galkowski, Jeffrey, et al.
Published: (2024)
by: Galkowski, Jeffrey, et al.
Published: (2024)
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)
Numerical analysis of the high-frequency Helmholtz equation using semiclassical analysis
by: Galkowski, Jeffrey, et al.
Published: (2025)
by: Galkowski, Jeffrey, et al.
Published: (2025)
The geometric error is less than the pollution error when solving the high-frequency Helmholtz equation with high-order FEM on curved domains
by: Chaumont-Frelet, Théophile, et al.
Published: (2024)
by: Chaumont-Frelet, Théophile, et al.
Published: (2024)
Two-level preconditioners for the Helmholtz equation
by: Bonazzoli, Marcella, et al.
Published: (2017)
by: Bonazzoli, Marcella, et al.
Published: (2017)
Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies
by: Averseng, Martin, et al.
Published: (2023)
by: Averseng, Martin, et al.
Published: (2023)
Helmholtz boundary integral methods and the pollution effect
by: Galkowski, Jeffrey, et al.
Published: (2025)
by: Galkowski, Jeffrey, et al.
Published: (2025)
Sharp preasymptotic error bounds for the Helmholtz $h$-FEM
by: Galkowski, Jeffrey, et al.
Published: (2023)
by: Galkowski, Jeffrey, et al.
Published: (2023)
Sharp bounds on Helmholtz impedance-to-impedance maps and application to overlapping domain decomposition
by: Lafontaine, David, et al.
Published: (2022)
by: Lafontaine, David, et al.
Published: (2022)
Sharp error bounds for edge-element discretisations of the high-frequency Maxwell equations
by: Chaumont-Frelet, Théophile, et al.
Published: (2024)
by: Chaumont-Frelet, Théophile, et al.
Published: (2024)
The $hp$-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect
by: Galkowski, Jeffrey, et al.
Published: (2022)
by: Galkowski, Jeffrey, et al.
Published: (2022)
Non-uniform finite-element meshes defined by ray dynamics for Helmholtz problems
by: Averseng, Martin, et al.
Published: (2025)
by: Averseng, Martin, et al.
Published: (2025)
Learning based numerical methods for Helmholtz equation with high frequency
by: Chen, Yu, et al.
Published: (2024)
by: Chen, Yu, et al.
Published: (2024)
A novel coarse space applying to the weighted Schwarz method for Helmholtz equations
by: Hu, Qiya, et al.
Published: (2024)
by: Hu, Qiya, et al.
Published: (2024)
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)
Optimising seismic imaging design parameters via bilevel learning
by: Downing, Shaunagh, et al.
Published: (2023)
by: Downing, Shaunagh, et al.
Published: (2023)
Quasi-Monte Carlo methods for uncertainty quantification of wave propagation and scattering problems modelled by the Helmholtz equation
by: Graham, Ivan G., et al.
Published: (2025)
by: Graham, Ivan G., et al.
Published: (2025)
Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains
by: Chandler-Wilde, Simon N., et al.
Published: (2022)
by: Chandler-Wilde, Simon N., et al.
Published: (2022)
On Edge Multiscale Space based Hybrid Schwarz Preconditioner for Helmholtz Problems with Large Wavenumbers
by: Fu, Shubin, et al.
Published: (2024)
by: Fu, Shubin, et al.
Published: (2024)
Two-level hybrid Schwarz Preconditioners for The Helmholtz Equation with high wave number
by: Lu, Peipei, et al.
Published: (2024)
by: Lu, Peipei, et al.
Published: (2024)
Multipreconditioning with directional sweeping methods for high-frequency Helmholtz problems
by: Bootland, Niall, et al.
Published: (2024)
by: Bootland, Niall, et al.
Published: (2024)
Frequency-Explicit Shape Holomorphy in Uncertainty Quantification for Acoustic Scattering
by: Hiptmair, Ralf, et al.
Published: (2024)
by: Hiptmair, Ralf, et al.
Published: (2024)
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)
A massively parallel non-overlapping Schwarz preconditioner for PolyDG methods in brain electrophysiology
by: Saglio, Caterina B. Leimer, et al.
Published: (2025)
by: Saglio, Caterina B. Leimer, et al.
Published: (2025)
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)
Coarse Spaces Based on Higher-Order Interpolation for Schwarz Preconditioners for Helmholtz Problems
by: Sieburgh, Erik, et al.
Published: (2024)
by: Sieburgh, Erik, et al.
Published: (2024)
Weak Scalability of time parallel Schwarz methods for parabolic optimal control problems
by: Lu, Liu-Di, et al.
Published: (2026)
by: Lu, Liu-Di, et al.
Published: (2026)
Two-level Restricted Additive Schwarz preconditioner based on Multiscale Spectral Generalized FEM for Heterogeneous Helmholtz Problems
by: Ma, Chupeng, et al.
Published: (2024)
by: Ma, Chupeng, et al.
Published: (2024)
A non-nested unstructured mesh perspective on highly parallel multilevel smoothed Schwarz preconditioner for linear parametric PDEs
by: Ma, Chengdi
Published: (2024)
by: Ma, Chengdi
Published: (2024)
Robust Multiscale Methods for Helmholtz equations in high contrast heterogeneous media
by: Jin, Xingguang, et al.
Published: (2024)
by: Jin, Xingguang, et al.
Published: (2024)
A quasi-monolithic localized high-order ALE finite element method for multi-scale fluid-structure interaction problems
by: Shen, Lingyue, et al.
Published: (2026)
by: Shen, Lingyue, et al.
Published: (2026)
A discontinuous plane wave neural network method for Helmholtz equation and time-harmonic Maxwell's equations
by: Yuan, Long, et al.
Published: (2023)
by: Yuan, Long, et al.
Published: (2023)
Overlapping Schwarz methods are not anisotropy-robust multigrid smoothers
by: Krzysik, Oliver A., et al.
Published: (2025)
by: Krzysik, Oliver A., 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)
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)
Nonlinear Schwarz preconditioning for Quasi-Newton methods
by: Kothari, Hardik
Published: (2022)
by: Kothari, Hardik
Published: (2022)
Natural damping of time-harmonic waves and its influence on Schwarz methods
by: Gander, Martin J., et al.
Published: (2025)
by: Gander, Martin J., et al.
Published: (2025)
Similar Items
-
Schwarz methods with PMLs for Helmholtz problems: fast convergence at high frequency
by: Galkowski, Jeffrey, et al.
Published: (2024) -
Theory of two-level Schwarz preconditioners with piecewise-polynomial coarse spaces for the high-frequency Helmholtz equation
by: Graham, Ivan G., et al.
Published: (2025) -
Convergence theory for two-level hybrid Schwarz preconditioners for high-frequency Helmholtz problems
by: Galkowski, Jeffrey, et al.
Published: (2025) -
Convergence of overlapping domain decomposition methods with PML transmission conditions applied to nontrapping Helmholtz problems
by: Galkowski, Jeffrey, et al.
Published: (2024) -
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)