Superconvergence Study of the Direct Discontinuous Galerkin Method and Its Variations for Diffusion Equations-Reference-Cited by-同舟云学术

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Superconvergence Study of the Direct Discontinuous Galerkin Method and Its Variations for Diffusion Equations

Published:2021-03-02 Issue:1 Volume:4 Page:180-204
ISSN:2096-6385
Container-title:Communications on Applied Mathematics and Computation
language:en
Short-container-title:Commun. Appl. Math. Comput.

Author:

Miao Yuqing,Yan Jue,Zhong Xinghui^ORCID

Funder

National Natural Science Foundation of China

Innovative Research Group Project of the National Natural Science Foundation of China

National Science Foundation

Simons Foundation

Publisher

Springer Science and Business Media LLC

Subject

General Medicine

Link

https://link.springer.com/content/pdf/10.1007/s42967-020-00107-0.pdf

Reference35 articles.

1. Adjerid, S., Devine, K., Flaherty, J., Krivodonova, L.: A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems. Comput. Methods Appl. Mech. Eng. 191(11/12), 1097–1112 (2002)

2. Ainsworth, M.: Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods. J. Comput. Phys. 198(1), 106–130 (2004)

3. Ainsworth, M., Monk, P., Muniz, W.: Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation. J. Sci. Comput. 27(1), 5–40 (2006)

4. Arnold, D.N.: An interior penalty finite element method with discontinuous elements. SIAM J. Numer. Anal. 19(4), 742–760 (1982)

5. Baumann, C.E., Oden, J.T.: A discontinuous $$hp$$ finite element method for convection-diffusion problems. Comput. Methods Appl. Mech. Eng. 175(3/4), 311–341 (1999)

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3. Superconvergence of Direct Discontinuous Galerkin Methods: Eigen-structure Analysis Based on Fourier Approach;Communications on Applied Mathematics and Computation;2023-03-27

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