Recovery-Based Error Estimator for the Discontinuous Galerkin Method for Nonlinear Scalar Conservation Laws in One Space Dimension-Reference-Cited by-同舟云学术

Recovery-Based Error Estimator for the Discontinuous Galerkin Method for Nonlinear Scalar Conservation Laws in One Space Dimension

Published:2015-04-21 Issue:2 Volume:66 Page:459-476
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Baccouch Mahboub

Funder

University Committee on Research and Creative Activity (UCRCA)

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10915-015-0030-7.pdf

Reference37 articles.

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2. Adjerid, S., Baccouch, M.: The discontinuous Galerkin method for two-dimensional hyperbolic problems. Part II: a posteriori error estimation. J. Sci. Comput. 38, 15–49 (2009)

3. Adjerid, S., Baccouch, M.: Asymptotically exact a posteriori error estimates for a one-dimensional linear hyperbolic problem. Appl. Numer. Math. 60, 903–914 (2010)

4. Adjerid, S., Baccouch, M., et al.: Adaptivity and error estimation for discontinuous Galerkin methods. In: Feng, X., Karakashian, O., Xing, Y. (eds.) Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations, vol. 157 of The IMA Volumes in Mathematics and its Applications, pp. 63–96. Springer, Switzerland (2014)

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

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