A highly accurate Helmholtz scheme for modeling scattering wave

DOI10.1016/j.cma.2003.08.013zbMath1079.76054OpenAlexW2162036869MaRDI QIDQ2574267

L. W. Hsieh, Chi-Fang Chen, Tony Wen-Hann Sheu

Publication date: 18 November 2005

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2003.08.013

zbMATH Keywords

\(M\)-matrixcompact schemeoscillation-free solutionseighth-order accuracyfive-point implicit scheme

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Hydro- and aero-acoustics (76Q05)

Related Items (1)

A fourth-order compact scheme for the Helmholtz equation: Alpha-interpolation of FEM and FDM stencils

Cites Work

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• Numerical solution of partial differential equations. Transl. from the German by Peter R. Wadsack
• Compact finite difference schemes with spectral-like resolution
• The modified equation approach to the stability and accuracy analysis of finite-difference methods
• A least-squares method for the Helmholtz equation
• A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
• Numerical solution of the system of two-dimensional unsteady Navier- Stokes equations for a compressible gas in a closed region
• Weak solutions of nonlinear hyperbolic equations and their numerical computation

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