Energy-norm and balanced-norm supercloseness error analysis of a finite volume method on Shishkin meshes for singularly perturbed reaction–diffusion problems-Reference-Cited by-同舟云学术

Energy-norm and balanced-norm supercloseness error analysis of a finite volume method on Shishkin meshes for singularly perturbed reaction–diffusion problems

Published:2023-07-28 Issue:3 Volume:60 Page:
ISSN:0008-0624
Container-title:Calcolo
language:en
Short-container-title:Calcolo

Author:

Meng Xiangyun,Stynes Martin^ORCID

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Algebra and Number Theory

Link

https://link.springer.com/content/pdf/10.1007/s10092-023-00535-3.pdf

Reference21 articles.

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2. Eymard, R., Gallouët, T., Herbin, R.: Finite volume methods. In: Ciarlet, P.G., Lions, J.L. (eds.) Handbook of numerical analysis, Handb. Numer. Anal., vol. VII, pp 713–1020. North-Holland, Amsterdam (2000). https://doi.org/10.1016/S1570-8659(00)07005-8

3. 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)

4. Heuer, N., Karkulik, M.: A robust DPG method for singularly perturbed reaction–diffusion problems. SIAM J. Numer. Anal. 55(3), 1218–1242 (2017). https://doi.org/10.1137/15M1041304

5. Li, R., Chen, Z., Wu, W.: Generalized Difference Methods for Differential Equations, Monographs and Textbooks in Pure and Applied Mathematics, vol. 226. Marcel Dekker Inc, New York (2000). (Numerical analysis of finite volume methods)

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