Cover Image

Fourier Beyond Dispersion: Wavenumber Explicit and Precise Accuracy of FDMs for the Helmholtz Equation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Zhang, Hui
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis 65N06, 65N12, 65N15
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Fourier Analysis of Finite Difference Schemes for the Helmholtz Equation in 1D with Dirichlet Conditions: Sharp Estimates and Relative Errors
by: Gander, Martin J., et al.
Published: (2025)

Minimum-residual a posteriori error estimates for hybridizable discontinuous Galerkin discretizations of the Helmholtz equation
by: Camargo, Liliana, et al.
Published: (2023)

Monotonicity of $Q^3$ spectral element method for discrete Laplacian
by: Cross, Logan J., et al.
Published: (2020)

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes
by: Wang, Chunmei, et al.
Published: (2025)

Auto-Stabilized Weak Galerkin Finite Element Methods for Stokes Equations on Non-Convex Polytopal Meshes
by: Wang, Chunmei, et al.
Published: (2025)

A Residual Minimization approach for Nonlinear Partial Differential Equations set in Banach spaces
by: Muga, Ignacio, et al.
Published: (2026)

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes
by: Wang, Chunmei
Published: (2024)

Auto-Stabilized Weak Galerkin Finite Element Methods for Biharmonic Equations on Polytopal Meshes without Convexity Assumptions
by: Wang, Chunmei
Published: (2024)

A high order correction to the Lax-Friedrich's method for approximating stationary Hamilton-Jacobi equations
by: Lewis, T., et al.
Published: (2025)

Numerical moment stabilization of central difference approximations for linear stationary reaction-convection-diffusion equations with applications to stationary Hamilton-Jacobi equations
by: Lewis, T., et al.
Published: (2025)

Embedded Trefftz DG method for the Helmholtz equation
by: Stocker, Paul, et al.
Published: (2026)

Natural superconvergence points for splines
by: Yang, Peng, et al.
Published: (2026)

A monotone $Q^1$ finite element method for anisotropic elliptic equations
by: Li, Hao, et al.
Published: (2023)

Extending Data to Improve Stability and Error Estimates Using Asymmetric Kansa-like Methods to Solve PDEs
by: Hangelbroek, Thomas, et al.
Published: (2025)

Super-localized Orthogonal Decomposition for high-frequency Helmholtz problems
by: Freese, Philip, et al.
Published: (2021)

Simplified Weak Galerkin Methods for Linear Elasticity on Nonconvex Domains
by: Wang, Chunmei, et al.
Published: (2024)

A Simple Weak Galerkin Finite Element Method for the Reissner-Mindlin Plate Model on Non-Convex Polytopal Meshes
by: Wang, Chunmei, et al.
Published: (2025)

Approximation with Conditionally Positive Definite Kernels on Deficient Sets
by: Davydov, Oleg
Published: (2020)

Analysis of a space-time unfitted finite element method for PDEs on evolving surfaces
by: Reusken, Arnold, et al.
Published: (2024)

Analysis of the Taylor-Hood Surface Finite Element Method for the surface Stokes equation
by: Reusken, Arnold
Published: (2024)

A stabilized nonconforming finite element method for the surface biharmonic problem
by: Wu, Shuonan, et al.
Published: (2024)

The Johnson-Krizek-Mercier elasticity element in any dimensions
by: Gopalakrishnan, Jay, et al.
Published: (2024)

Hierarchical Super-Localized Orthogonal Decomposition Method
by: Garay, Jose C., et al.
Published: (2024)

Lowest order stabilization free Virtual Element Method for the 2D Poisson equation
by: Berrone, Stefano, et al.
Published: (2021)

Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form
by: Tran, Ngoc Tien
Published: (2023)

A Taylor-Hood finite element method for the surface Stokes problem without penalization
by: Demlow, Alan, et al.
Published: (2025)

A post-processed higher-order multiscale method for nondivergence-form elliptic equations
by: Hauck, Moritz, et al.
Published: (2026)

A Unified Transmissibility-Based Interior Penalty DG Method for Heterogeneous and Anisotropic Diffusion
by: Etangsale, Gregory, et al.
Published: (2026)

Optimal error estimates for a discontinuous Galerkin method on curved boundaries with polygonal meshes
by: Araújo, Adérito, et al.
Published: (2026)

A low-cost, parameter-free, and pressure-robust enriched Galerkin method for the Stokes equations
by: Lee, Seulip, et al.
Published: (2022)

Quasi-optimal polytopal finite element methods for biharmonic equation
by: Tran, Ngoc Tien
Published: (2026)

A streamline upwind/Petrov-Galerkin method for the magnetic advection-diffusion problem
by: Li, Haochen, et al.
Published: (2025)

Efficient High-Order Space-Angle-Energy Polytopic Discontinuous Galerkin Finite Element Methods for Linear Boltzmann Transport
by: Houston, Paul, et al.
Published: (2023)

Super-Localized Orthogonal Decomposition Method for Heterogeneous Linear Elasticity
by: Belponer, Camilla, et al.
Published: (2025)

An adaptive perfectly matched layer finite element method for acoustic-elastic interaction in periodic structures
by: Li, Sijia, et al.
Published: (2026)

A Generalized Framework for Higher-Order Localized Orthogonal Decomposition Methods
by: Hauck, Moritz, et al.
Published: (2025)

On the Compact Discontinuous Galerkin method for polytopal meshes
by: Corti, Mattia, et al.
Published: (2026)

Time domain boundary integral equations and convolution quadrature for scattering by composite media (extended preprint)
by: Rieder, Alexander, et al.
Published: (2020)

A Localized Orthogonal Decomposition Method for Heterogeneous Mixed-Dimensional Problems
by: Hauck, Moritz, et al.
Published: (2025)

The MINI mixed virtual element for the Stokes equation
by: Bertoluzza, Silvia, et al.
Published: (2025)