Superconvergence Analysis of the Runge-Kutta Discontinuous Galerkin Method with Upwind-Biased Numerical Flux for Two-Dimensional Linear Hyperbolic Equation-Reference-Cited by-同舟云学术

Superconvergence Analysis of the Runge-Kutta Discontinuous Galerkin Method with Upwind-Biased Numerical Flux for Two-Dimensional Linear Hyperbolic Equation

Published:2021-08-19 Issue:1 Volume:4 Page:319-352
ISSN:2096-6385
Container-title:Communications on Applied Mathematics and Computation
language:en
Short-container-title:Commun. Appl. Math. Comput.

Author:

Xu Yuan,Zhang Qiang

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

General Medicine

Link

https://link.springer.com/content/pdf/10.1007/s42967-020-00116-z.pdf

Reference35 articles.

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2. Cao, W., Li, D., Yang, Y., Zhang, Z.: Superconvergence of discontinuous Galerkin methods based on upwind-biased fluxes for 1D linear hyperbolic equations. ESAIM Math. Model. Numer. Anal. 51(2), 467–486 (2017)

3. Cao, W., Li, D., Zhang, Z.: Optimal superconvergence of energy conserving local discontinuous Galerkin methods for wave equations. Commun. Comput. Phys. 21(1), 211–236 (2017)

4. Cao, W., Shu, C.-W., Yang, Y., Zhang, Z.: Superconvergence of discontinuous Galerkin methods for two-dimensional hyperbolic equations. SIAM J. Numer. Anal. 53(4), 1651–1671 (2015)

5. Cao, W., Shu, C.-W., Zhang, Z.: Superconvergence of discontinuous Galerkin methods for 1-D linear hyperbolic equations with degenerate variable coefficients. ESAIM Math. Model. Numer. Anal. 51(6), 2213–2235 (2017)

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