A fixed-point iteration method for high frequency vector wave equations

DOI10.1016/j.jcp.2023.112306OpenAlexW4381384268MaRDI QIDQ6173337

Songting Luo, Qing Huo Liu

Publication date: 21 July 2023

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2023.112306

zbMATH Keywords

fixed-point iterationoperator splittingpseudo-spectral methodTaylor expansionKrylov subspace methodvector wave equations

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Cites Work

• Fast Huygens sweeping methods for Helmholtz equations in inhomogeneous media in the high frequency regime
• Splitting methods with complex times for parabolic equations
• A two-point boundary value problem with a rapidly oscillating solution
• Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation
• Babich's expansion and the fast Huygens sweeping method for the Helmholtz wave equation at high frequencies
• Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation
• Anderson Acceleration for Fixed-Point Iterations
• Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
• Computational high frequency wave propagation
• Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
• Uniform asymptotic expansions at a caustic
• The short wave asymptotic form of the solution for the problem of a point source in an inhomogeneous medium
• On the Construction and Comparison of Difference Schemes
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