Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Domain decomposition based physics and equality constrained neural networks for the Helmholtz equation

Sungmin Won, Evan Olson and Xuemin Tu
Electronic Research Archive 33 (10) 5965 (2025)
https://doi.org/10.3934/era.2025265

Two-Level Hybrid Schwarz Preconditioners for the Helmholtz Equation with High Wave Number

Peipei Lu, Xuejun Xu, Bowen Zheng and Jun Zou
SIAM Journal on Numerical Analysis 63 (6) 2187 (2025)
https://doi.org/10.1137/24M168533X

A hybrid shifted Laplacian multigrid and domain decomposition preconditioner for the elastic Helmholtz equations

Eran Treister and Rachel Yovel
Journal of Computational Physics 497 112622 (2024)
https://doi.org/10.1016/j.jcp.2023.112622

A deep domain decomposition method based on Fourier features

Sen Li, Yingzhi Xia, Yu Liu and Qifeng Liao
Journal of Computational and Applied Mathematics 423 114963 (2023)
https://doi.org/10.1016/j.cam.2022.114963

Adaptive-multilevel BDDC algorithm for three-dimensional plane wave Helmholtz systems

Jie Peng, Shi Shu, Junxian Wang and Liuqiang Zhong
Journal of Computational and Applied Mathematics 381 113011 (2021)
https://doi.org/10.1016/j.cam.2020.113011

Sixth-order finite difference scheme for the Helmholtz equation with inhomogeneous Robin boundary condition

Yang Zhang, Kun Wang and Rui Guo
Advances in Difference Equations 2019 (1) (2019)
https://doi.org/10.1186/s13662-019-2304-0

A Robust Multilevel Preconditioner Based on a Domain Decomposition Method for the Helmholtz Equation

Peipei Lu and Xuejun Xu
Journal of Scientific Computing 81 (1) 291 (2019)
https://doi.org/10.1007/s10915-019-01015-z

A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods

Martin J. Gander and Hui Zhang
SIAM Review 61 (1) 3 (2019)
https://doi.org/10.1137/16M109781X

An optimized Schwarz method with relaxation for the Helmholtz equation: the negative impact of overlap

Yongxiang Liu and Xuejun Xu
ESAIM: Mathematical Modelling and Numerical Analysis 53 (1) 249 (2019)
https://doi.org/10.1051/m2an/2018061

Adaptive BDDC algorithms for the system arising from plane wave discretization of Helmholtz equations

Jie Peng, Junxian Wang and Shi Shu
International Journal for Numerical Methods in Engineering 116 (10-11) 683 (2018)
https://doi.org/10.1002/nme.5939