An analysis of diagonal and incomplete Cholesky preconditioners for singularly perturbed problems on layer-adapted meshes-Reference-Cited by-同舟云学术

An analysis of diagonal and incomplete Cholesky preconditioners for singularly perturbed problems on layer-adapted meshes

Published:2020-07-15 Issue:1-2 Volume:65 Page:245-272
ISSN:1598-5865
Container-title:Journal of Applied Mathematics and Computing
language:en
Short-container-title:J. Appl. Math. Comput.

Author:

Nhan Thái Anh,Madden Niall^ORCID

Funder

Irish Research Council for Science, Engineering and Technology

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s12190-020-01390-z.pdf

Reference26 articles.

1. Ansari, A.R., Hegarty, A.F.: A note on iterative methods for solving singularly perturbed problems using non-monotone methods on Shishkin meshes. Comput. Methods Appl. Mech. Eng. 192(33–34), 3673–3687 (2003). https://doi.org/10.1016/S0045-7825(03)00369-4

2. Bakhvalov, N.: Towards optimization of methods for solving boundary value problems in the presence of boundary layers. Zh. Vzchisl. Mat. i Mat fiz. 9, 841–859 (1969)

3. Chadha, N.M., Kopteva, N.: Maximum norm a posteriori error estimate for a 3d singularly perturbed semilinear reaction-diffusion problem. Adv. Comput. Math. 35(1), 33–55 (2011). https://doi.org/10.1007/s10444-010-9163-2

4. Clavero, C., Gracia, J., O’Riordan, E.: A parameter robust numerical method for a two dimensional reaction–diffusion problem. Math. Comput. 74(252), 1743–1758 (2005). https://doi.org/10.1090/S0025-5718-05-01762-X

5. Farrell, P.A., Hegarty, A.F., Miller, J.J.H., O’Riordan, E., Shishkin, G.I.: Robust Computational Techniques for Boundary Layers. Applied Mathematics (Boca Raton), vol. 16. Chapman & Hall/CRC, Boca Raton (2000)

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Approximate High Dimensional Graph Mining With Matrix Polar Factorization: A Twitter Application;2021 IEEE International Conference on Big Data (Big Data);2021-12-15

2. Robust Discretization and Solvers for Elliptic Optimal Control Problems with Energy Regularization;Computational Methods in Applied Mathematics;2021-10-10