A dispersion minimizing scheme for the 3-D Helmholtz equation based on ray theory

From MaRDI portal
Publication:2375151

DOI10.1016/j.jcp.2016.03.023zbMath1349.65571arXiv1504.01609OpenAlexW2284793936MaRDI QIDQ2375151

Christiaan C. Stolk

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.01609




Related Items (18)

An improved sweeping domain decomposition preconditioner for the Helmholtz equationL-sweeps: a scalable, parallel preconditioner for the high-frequency Helmholtz equationA dispersion minimizing finite difference scheme for the Helmholtz equation based on point-weightingAn optimized finite element method for the analysis of 3D acoustic cavities with impedance boundary conditionsA mass-redistributed finite element method (MR-FEM) for acoustic problems using triangular meshA hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous mediaAsymptotic Dispersion Correction in General Finite Difference Schemes for Helmholtz ProblemsA Finite Difference Method with Optimized Dispersion Correction for the Helmholtz EquationOptimization of a finite-difference scheme for numerical solution of the Helmholtz equationSparsify and Sweep: An Efficient Preconditioner for the Lippmann--Schwinger EquationA Time-Domain Preconditioner for the Helmholtz EquationA Diagonal Sweeping Domain Decomposition Method with Source Transfer for the Helmholtz EquationPollution and accuracy of solutions of the Helmholtz equation: a novel perspective from the eigenvaluesA new numerical approach to the solution of the 2-D Helmholtz equation with optimal accuracy on irregular domains and Cartesian meshesLearning dominant wave directions for plane wave methods for high-frequency Helmholtz equationsA Parallel Domain Decomposition Method for the Helmholtz Equation in Layered MediaClosed Form Dispersion Corrections Including a Real Shifted WaveNumber for Finite Difference Discretizations of 2D Constant Coefficient Helmholtz ProblemsHow to Choose the Shift in the Shifted Laplace Preconditioner for the Helmholtz Equation Combined with Deflation


Uses Software


Cites Work


This page was built for publication: A dispersion minimizing scheme for the 3-D Helmholtz equation based on ray theory