Asymptotic Dispersion Correction in General Finite Difference Schemes for Helmholtz Problems (Q6154928)

scientific article; zbMATH DE number 7816748

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English	Asymptotic Dispersion Correction in General Finite Difference Schemes for Helmholtz Problems	scientific article; zbMATH DE number 7816748

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instance of

scholarly article

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title

Asymptotic Dispersion Correction in General Finite Difference Schemes for Helmholtz Problems (English)

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SIAM Journal on Scientific Computing

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publication date

12 March 2024

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zbMATH Keywords

Helmholtz equation

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numerical approximation

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finite difference method

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MaRDI profile type

MaRDI publication profile

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cites work

Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?

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A Finite Difference Method with Optimized Dispersion Correction for the Helmholtz Equation

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Dispersion correction for Helmholtz in 1D with piecewise constant wavenumber

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Closed Form Dispersion Corrections Including a Real Shifted WaveNumber for Finite Difference Discretizations of 2D Constant Coefficient Helmholtz Problems

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A dispersion minimizing finite difference scheme and preconditioned solver for the 3D Helmholtz equation

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A dispersion minimizing finite difference scheme for the Helmholtz equation based on point-weighting

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Explicit inverses of some tridiagonal matrices

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An optimal 13-point finite difference scheme for a 2D Helmholtz equation with a perfectly matched layer boundary condition

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A generalized optimal fourth-order finite difference scheme for a 2D Helmholtz equation with the perfectly matched layer boundary condition

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SoftFEM: revisiting the spectral finite element approximation of second-order elliptic operators

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Pollution and accuracy of solutions of the Helmholtz equation: a novel perspective from the eigenvalues

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Why it is Difficult to Solve Helmholtz Problems with Classical Iterative Methods

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Dirac assisted tree method for 1D heterogeneous Helmholtz equations with arbitrary variable wave numbers

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Residual-free bubbles for the Helmholtz equation

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Finite element solution of the Helmholtz equation with high wave number. I: The $h$-version of the FEM

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Conditioning analysis for discrete Helmholtz problems

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Wavenumber-explicit convergence of the $hp$-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients

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Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation

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Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions

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General DG-methods for highly indefinite Helmholtz problems

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High-order finite difference methods for the Helmholtz equation

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A dispersion minimizing scheme for the 3-D Helmholtz equation based on ray theory

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A Multigrid Method for the Helmholtz Equation with Optimized Coarse Grid Corrections

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Q5862223

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A dispersion minimizing subgridding finite difference scheme for the Helmholtz equation with PML

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A dispersion minimizing compact finite difference scheme for the 2D Helmholtz equation

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An optimal compact sixth-order finite difference scheme for the Helmholtz equation

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Preasymptotic Error Analysis of CIP-FEM and FEM for Helmholtz Equation with High Wave Number. Part II: $hp$ Version

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Mathematics(1 entry)

mardi Publication:6154928