Image de couverture de livre

Fourier Analysis of Finite Difference Schemes for the Helmholtz Equation in 1D with Dirichlet Conditions: Sharp Estimates and Relative Errors

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteurs principaux:	Gander, Martin J., Zhang, Hui, Zhou, Haiyang
Format:	Preprint
Publié:	2025
Sujets:	Numerical Analysis 65N06, 65N12, 65N15
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

Fourier Beyond Dispersion: Wavenumber Explicit and Precise Accuracy of FDMs for the Helmholtz Equation
par: Zhang, Hui
Publié: (2024)

Error Analysis of Third-Order in Time and Fourth-Order Linear Finite Difference Scheme for Landau-Lifshitz-Gilbert Equation under Large Damping Parameters
par: Xie, Changjian, et autres
Publié: (2025)

A two-grid Adaptive Finite Element Method for the Dirichlet Boundary Control Problem Governed by Stokes Equation
par: Gudi, Thirupathi, et autres
Publié: (2024)

Extending Data to Improve Stability and Error Estimates Using Asymmetric Kansa-like Methods to Solve PDEs
par: Hangelbroek, Thomas, et autres
Publié: (2025)

On Properties of Compact 4th order Finite-Difference Schemes for the Variable Coefficient Wave Equation
par: Zlotnik, Alexander, et autres
Publié: (2021)

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

An $hp$ Error Analysis of HDG for Dynamic Poroelasticity
par: Meddahi, Salim
Publié: (2025)

Auto-Stabilized Weak Galerkin Finite Element Methods for Stokes Equations on Non-Convex Polytopal Meshes
par: Wang, Chunmei, et autres
Publié: (2025)

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

Minimum-residual a posteriori error estimates for hybridizable discontinuous Galerkin discretizations of the Helmholtz equation
par: Camargo, Liliana, et autres
Publié: (2023)

On the Practical Impact of Local Linear Instabilities in Entropy-Stable Schemes
par: Bercik, Alex, et autres
Publié: (2026)

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

Finite element simulation of nonlinear bending models for thin elastic rods and plates
par: Bartels, Sören
Publié: (2019)

Low Regularity Primal-Dual Weak Galerkin Finite Element Methods for Convection-Diffusion Equations
par: Wang, Chunmei, et autres
Publié: (2019)

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

Auto-Stabilized Weak Galerkin Finite Element Methods on Polytopal Meshes without Convexity Constraints
par: Wang, Chunmei
Publié: (2024)

An Adaptive Finite Element DtN Method for the Acoustic-Elastic Interaction Problem in Periodic Structures
par: Lin, Lei, et autres
Publié: (2025)

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

A Residual Minimization approach for Nonlinear Partial Differential Equations set in Banach spaces
par: Muga, Ignacio, et autres
Publié: (2026)

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes
par: Wang, Chunmei, et autres
Publié: (2025)

A Simple Weak Galerkin Finite Element Method for the Reissner-Mindlin Plate Model on Non-Convex Polytopal Meshes
par: Wang, Chunmei, et autres
Publié: (2025)

Efficient High-Order Space-Angle-Energy Polytopic Discontinuous Galerkin Finite Element Methods for Linear Boltzmann Transport
par: Houston, Paul, et autres
Publié: (2023)

Monotonicity of $Q^3$ spectral element method for discrete Laplacian
par: Cross, Logan J., et autres
Publié: (2020)

Embedded Trefftz DG method for the Helmholtz equation
par: Stocker, Paul, et autres
Publié: (2026)

A stabilized nonconforming finite element method for the surface biharmonic problem
par: Wu, Shuonan, et autres
Publié: (2024)

Analysis of a space-time unfitted finite element method for PDEs on evolving surfaces
par: Reusken, Arnold, et autres
Publié: (2024)

Lowest order stabilization free Virtual Element Method for the 2D Poisson equation
par: Berrone, Stefano, et autres
Publié: (2021)

Convergence Analysis of Adaptive Finite Element Algorithms for a Regularized Variational Model of Quasi-Static Brittle Fracture in "Strain-Limiting" Elastic Solids
par: Manohar, Ram, et autres
Publié: (2025)

Super-localized Orthogonal Decomposition for high-frequency Helmholtz problems
par: Freese, Philip, et autres
Publié: (2021)

A Parallel iterative Algorithm for primal-dual weak Galerkin Schemes
par: Wang, Chunmei, et autres
Publié: (2024)

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

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

Optimal Order Space-Time Discretization Methods for the Nonlinear Stochastic Elastic Wave Equations with Multiplicative Noise
par: Feng, Xiaobing, et autres
Publié: (2025)

A New Div-Div-Conforming Symmetric Tensor Finite Element Space with Applications to the Biharmonic Equation
par: Chen, Long, et autres
Publié: (2023)

Stabilized Lagrange Multipliers for Dirichlet Boundary Conditions in Divergence Preserving Unfitted Methods
par: Frachon, Thomas, et autres
Publié: (2024)

Global convergence of adaptive least-squares finite element methods for nonlinear PDEs
par: Bringmann, Philipp, et autres
Publié: (2025)

A high-order local discontinuous Galerkin method for the $p$-Laplace equation
par: Wu, Yue, et autres
Publié: (2023)

Old and new Schrödinger eigenvalue localisation
par: Carstensen, Carsten, et autres
Publié: (2026)

A $C^0$-continuous nonconforming virtual element method for linear strain gradient elasticity
par: Huang, Jianguo, et autres
Publié: (2024)

Simplified Weak Galerkin Methods for Linear Elasticity on Nonconvex Domains
par: Wang, Chunmei, et autres
Publié: (2024)