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A new finite difference scheme for the 3D Helmholtz equation with a preconditioned iterative solver

  • Published:2021-03 Issue: Volume:161 Page:348-371
  • ISSN:0168-9274
  • Container-title:Applied Numerical Mathematics
  • language:en
  • Short-container-title:Applied Numerical Mathematics

Author:

Wu Tingting,Sun Yuran,Cheng Dongsheng

Funder

National Natural Science Foundation of China

Project of Shandong Province Higher Educational Science and Technology Program

Natural Science Foundation of Gunagdong Province of China

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference30 articles.

1. An algebraic multigrid based shifted-Laplacian preconditioner for the Helmholtz equation;Airaksinen;J. Comput. Phys.,2007

2. A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution;Babuška;Comput. Methods Appl. Mech. Eng.,1995

3. Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers?;Babuška;SIAM Rev.,2000

4. A Multigrid Tutorial;Briggs,2000

5. Numerical simulation of time-harmonic waves in inhomogeneous media using compact high order schemes;Britt;Commun. Comput. Phys.,2011

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1. Two-parameter modified matrix splitting iteration method for Helmholtz equation;International Journal of Computer Mathematics;2024-01-06

2. A parallel high-order accuracy algorithm for the Helmholtz equations;International Journal of Computer Mathematics;2024-01-02

3. A Comparative Study of Several Classes of Meshfree Methods for Solving the Helmholtz Equation;2024

4. Frequency-Domain Finite-Difference Modeling of Acoustic Waves Using Compressive Sensing Solvers;IEEE Transactions on Geoscience and Remote Sensing;2023

5. High-order fast algorithm for solving Helmholtz equation with large wave numbers;2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022);2022-05-17
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