Non-uniform finite-element meshes defined by ray dynamics for Helmholtz problems
Fuente:
arXiv
Saved in:
| Main Authors: | Averseng, Martin, Galkowski, Jeffrey, Spence, Euan A. |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
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)
Helmholtz boundary integral methods and the pollution effect
by: Galkowski, Jeffrey, et al.
Published: (2025)
by: Galkowski, Jeffrey, et al.
Published: (2025)
Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies
by: Averseng, Martin, et al.
Published: (2023)
by: Averseng, Martin, et al.
Published: (2023)
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)
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)
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)
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)
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)
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)
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)
Wavenumber-explicit stability and convergence analysis of hp finite element discretizations of Helmholtz problems in piecewise smooth media
by: Bernkopf, M., et al.
Published: (2022)
by: Bernkopf, M., et al.
Published: (2022)
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)
Jump-preserving polynomial interpolation in non-manifold polyhedra
by: Averseng, Martin
Published: (2022)
by: Averseng, Martin
Published: (2022)
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)
Bounding the spectral gap for an elliptic eigenvalue problem with uniformly bounded stochastic coefficients
by: Gilbert, Alexander D., et al.
Published: (2019)
by: Gilbert, Alexander D., et al.
Published: (2019)
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)
Helmholtz quasi-resonances are unstable under most single-signed perturbations of the wave speed
by: Spence, Euan A., et al.
Published: (2024)
by: Spence, Euan A., et al.
Published: (2024)
Duality analysis of interior penalty discontinuous Galerkin methods under minimal regularity and application to the a priori and a posteriori error analysis of Helmholtz problems
by: Chaumont-Frelet, T.
Published: (2022)
by: Chaumont-Frelet, T.
Published: (2022)
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)
Splitting finite element approximations for quasi-static electroporoelasticity equations
by: Liu, Xuan, et al.
Published: (2025)
by: Liu, Xuan, et al.
Published: (2025)
Convergence analysis of the adaptive stochastic collocation finite element method
by: Bespalov, Alex, et al.
Published: (2024)
by: Bespalov, Alex, et al.
Published: (2024)
Strongly consistent low-dissipation WENO schemes for finite elements
by: Vedral, Joshua, et al.
Published: (2024)
by: Vedral, Joshua, et al.
Published: (2024)
Hierarchical matrix approximability of inverse of convection dominated finite element matrices
by: Saunier, Arthur, et al.
Published: (2025)
by: Saunier, Arthur, et al.
Published: (2025)
A regularized method for quadratic optimization problems with finite-dimensional degeneracy
by: Gebhardt, C. G., et al.
Published: (2026)
by: Gebhardt, C. G., et al.
Published: (2026)
Two-level preconditioners for the Helmholtz equation
by: Bonazzoli, Marcella, et al.
Published: (2017)
by: Bonazzoli, Marcella, et al.
Published: (2017)
A posteriori error estimates for the finite element discretization of second-order PDEs set in unbounded domains
by: Chaumont-Frelet, T.
Published: (2025)
by: Chaumont-Frelet, T.
Published: (2025)
Space-time finite element analysis of the advection-diffusion equation using Galerkin/least-square stabilization
by: Khara, Biswajit, et al.
Published: (2023)
by: Khara, Biswajit, et al.
Published: (2023)
Non-linear collision-induced breakage equation: finite volume and semi-analytical methods
by: Bariwal, Sanjiv Kumar, et al.
Published: (2024)
by: Bariwal, Sanjiv Kumar, et al.
Published: (2024)
Lower bounds for piecewise polynomial approximations of oscillatory functions
by: Galkowski, Jeffrey
Published: (2022)
by: Galkowski, Jeffrey
Published: (2022)
Linear, decoupled and positivity-preserving staggered mesh schemes for general dissipative systems with arbitrary energy distributions
by: Liu, Zhengguang, et al.
Published: (2025)
by: Liu, Zhengguang, et al.
Published: (2025)
Scattering and uniform in time error estimates for splitting method in NLS
by: Carles, Rémi, et al.
Published: (2021)
by: Carles, Rémi, et al.
Published: (2021)
Massively parallel Schwarz methods for the high frequency Helmholtz equation
by: Xie, Yan, et al.
Published: (2026)
by: Xie, Yan, et al.
Published: (2026)
High order uniform in time schemes for weakly nonlinear Schrödinger equation and wave turbulence
by: Chauleur, Quentin, et al.
Published: (2025)
by: Chauleur, Quentin, et al.
Published: (2025)
Unique continuation principles for finite-element discretizations of the Laplacian
by: Cox, Graham, et al.
Published: (2024)
by: Cox, Graham, et al.
Published: (2024)
On some nonlocal, nonlinear diffusion problems
by: Chipot, M. M., et al.
Published: (2026)
by: Chipot, M. M., et al.
Published: (2026)
A regularization of incompressible Stokes problem with Tresca friction condition
by: Zafrar, A.
Published: (2025)
by: Zafrar, A.
Published: (2025)
Isogeometric Bézier dual mortaring: The biharmonic problem
by: Miao, Di, et al.
Published: (2019)
by: Miao, Di, et al.
Published: (2019)
Consistent and convergent discretizations of Helfrich-type energies on general meshes
by: Degrooff, Vincent, et al.
Published: (2023)
by: Degrooff, Vincent, et al.
Published: (2023)
Optimal finite element approximation of unique continuation
by: Burman, Erik, et al.
Published: (2023)
by: Burman, Erik, et al.
Published: (2023)
Similar Items
-
Numerical analysis of the high-frequency Helmholtz equation using semiclassical analysis
by: Galkowski, Jeffrey, et al.
Published: (2025) -
Helmholtz boundary integral methods and the pollution effect
by: Galkowski, Jeffrey, et al.
Published: (2025) -
Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies
by: Averseng, Martin, et al.
Published: (2023) -
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) -
Convergence theory for two-level hybrid Schwarz preconditioners for high-frequency Helmholtz problems
by: Galkowski, Jeffrey, et al.
Published: (2025)