A phase velocity preserving fourth-order finite difference scheme for the Helmholtz equation with variable wavenumber
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Publication:6570162
DOI10.1016/J.AML.2024.109105zbMATH Open1545.65402MaRDI QIDQ6570162
Wenhui Zhang, Tingting Wu, Taishan Zeng
Publication date: 10 July 2024
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Finite difference and finite volume methods for ordinary differential equations (65L12)
Cites Work
- Title not available (Why is that?)
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- A dispersion minimizing compact finite difference scheme for the 2D Helmholtz equation
- Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
- Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number
- A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
- A dispersion minimizing finite difference scheme for the Helmholtz equation based on point-weighting
- An inverse random source problem for the Helmholtz equation
- Exact finite difference schemes for solving Helmholtz equation at any wavenumber
- Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
- Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation
- Numerical analysis of the optimal 9-point finite difference scheme for the Helmholtz equation
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