Asymptotic stability of a dual-scale compact method for approximating highly oscillatory Helmholtz solutions

DOI10.1016/j.jcp.2019.04.046zbMath1452.65299OpenAlexW2942985181MaRDI QIDQ2221440

Tiffany N. Jones, Qin Sheng

Publication date: 26 January 2021

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2019.04.046

zbMATH Keywords

domain decompositionasymptotic stabilitymultiscale methodscompact schemeshighly oscillatory wavesHelmholtz solutions

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Applications to the sciences (65Z05) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (2)

A spatially sixth-order hybrid \(L1\)-CCD method for solving time fractional Schrödinger equations. ⋮ A new numerical approach to the solution of the 2-D Helmholtz equation with optimal accuracy on irregular domains and Cartesian meshes

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