Optimization of a finite-difference scheme for numerical solution of the Helmholtz equation

DOI10.1134/S0965542520040119zbMath1451.65172OpenAlexW3035646468MaRDI QIDQ2207542

S. A. Solov'ev, Victor Kostin

Publication date: 23 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520040119

zbMATH Keywords

Helmholtz equationfinite-difference schemesnumerical dispersion

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Uses Software

• fminsearch

Cites Work

• High-order finite difference methods for the Helmholtz equation
• Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number
• A dispersion minimizing scheme for the 3-D Helmholtz equation based on ray theory
• Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
• Convergence of the Nelder--Mead Simplex Method to a Nonstationary Point
• A Simplex Method for Function Minimization

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