An unconditionally stable and $$L^2$$ optimal quadratic finite volume scheme over triangular meshes for anisotropic elliptic equations-Reference-Cited by-同舟云学术

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An unconditionally stable and $$L^2$$ optimal quadratic finite volume scheme over triangular meshes for anisotropic elliptic equations

Published:2023-11-22 Issue:6 Volume:49 Page:
ISSN:1019-7168
Container-title:Advances in Computational Mathematics
language:en
Short-container-title:Adv Comput Math

Author:

Wu Xiaoxin,Qiu Weifeng,Pan Kejia^ORCID

Funder

National Natural Science Foundation of China

Research Grants Council of the Hong Kong Special Administrative Region, Chin

Fundamental Research Funds for the Central Universities of Central South University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s10444-023-10085-5.pdf

Reference34 articles.

1. Patanker, S.V.: Numerical Heat Transfer and Fluid Flow. Taylor Francis (2018)

2. Lazarov, R., Michev, I., Vassilevski, P.: Finite volume methods for convection-diffusion problems. SIAM J. Numer. Anal. 33(1), 31–55 (1996)

3. Ollivier-Gooch, C., Altena, M.V.: A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation. J. Comput. Phys. 181(2), 729–752 (2002)

4. Shu, C.: High order finite difference and finite volume WENO schemes and discontinuous Galerkin methods for CFD. J. Comput. Fluid Dyn. 17(2), 107–118 (2003)

5. Plexousakis, M., Zouraris, G.: On the construction and analysis of high order locally conservative finite volume type methods for one-dimensional elliptic problems. SIAM J. Numer. Anal. 42(3), 1226–1260 (2004)

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