Simulations of the Helmholtz equation at any wave number for adaptive grids using a modified central finite difference scheme

DOI10.3906/mat-1506-24zbMath1424.65209OpenAlexW2425581539MaRDI QIDQ4633191

Hafiz Abdul Wajid

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1506-24

zbMATH Keywords

Helmholtz equationnonuniform gridsadaptive gridsnumerical dispersionmodified central finite difference scheme

Mathematics Subject Classification ID

Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Compact finite difference schemes of sixth order for the Helmholtz equation
• Compact finite difference schemes with spectral-like resolution
• Finite element analysis of acoustic scattering
• Complex wavenumber Fourier analysis of the \(p\)-version finite element method
• Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
• High-order finite difference methods for the Helmholtz equation
• Modified finite difference schemes on uniform grids for simulations of the Helmholtz equation at any wave number
• Computation of singular solutions to the Helmholtz equation with high order accuracy
• Dispersive and Dissipative Behavior of the Spectral Element Method
• Optimally Blended Spectral-Finite Element Scheme for Wave Propagation and NonStandard Reduced Integration
• Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM
• Generation of Finite Difference Formulas on Arbitrarily Spaced Grids
• Reducing the phase error for finite-difference methods without increasing the order
• Discrete Dispersion Relation for hp-Version Finite Element Approximation at High Wave Number
• DEVELOPMENT OF A THREE-POINT SIXTH-ORDER HELMHOLTZ SCHEME
• Efficient and Accurate Numerical Solutions for Helmholtz Equation in Polar and Spherical Coordinates

This page was built for publication: Simulations of the Helmholtz equation at any wave number for adaptive grids using a modified central finite difference scheme