Sixth-order quasi-compact difference schemes for 2D and 3D Helmholtz equations

DOI10.1016/j.amc.2022.127347OpenAlexW4283641523MaRDI QIDQ2152737

Tao Sun, Zhi Wang, Yongbin Ge, Hai-Wei Sun

Publication date: 11 July 2022

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2022.127347

zbMATH Keywords

Helmholtz equationvariable parameterglobal sixth-order accuracyquasi-compact finite difference

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Method of lines for boundary value problems involving PDEs (65N40)

Related Items

A sixth order quasi-compact finite difference method for Helmholtz equations with variable wave numbers, Structural schemes for one dimension stationary equations, Fast TT-M fourth-order compact difference schemes for a two-dimensional space fractional Gray-Scott model, Numerical algorithm with high accuracy for the modified Helmholtz equation with Robin boundary value problem, High-order compact finite difference methods for solving the high-dimensional Helmholtz equations, Nine-point compact sixth-order approximation for two-dimensional nonlinear elliptic partial differential equations: application to bi- and tri-harmonic boundary value problems

Cites Work

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• A perfectly matched layer for the Helmholtz equation in a semi-infinite strip
• A dispersion minimizing compact finite difference scheme for the 2D Helmholtz equation
• Compact finite difference schemes of sixth order for the Helmholtz equation
• Single cell high order difference methods for the Helmholtz equation
• An optimal compact sixth-order finite difference scheme for the Helmholtz equation
• High order ADI method for solving unsteady convection-diffusion problems
• Accurate finite difference methods for time-harmonic wave propagation
• The method of difference potentials for the Helmholtz equation using compact high order schemes
• High-order finite difference methods for the Helmholtz equation
• A new development of sixth order accurate compact scheme for the Helmholtz equation
• A new eighth-order implicit finite difference method to solve the three-dimensional Helmholtz equation
• A fourth-order optimal finite difference scheme for the Helmholtz equation with PML
• Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number
• A sixth-order fast algorithm for the electromagnetic scattering from large open cavities
• High-order compact solvers for the three-dimensional Poisson equation
• SIXTH-ORDER ACCURATE FINITE DIFFERENCE SCHEMES FOR THE HELMHOLTZ EQUATION
• Families of High Order Accurate Discretizations of Some Elliptic Problems