A Simple Explanation of Superconvergence for Discontinuous Galerkin Solutions to $\boldsymbol{u_t}$+$\boldsymbol{u_x}$=0
Year: 2017
Communications in Computational Physics, Vol. 21 (2017), Iss. 4 : pp. 905–912
Abstract
The superconvergent property of the Discontinuous Galerkin (DG) method for linear hyperbolic systems of partial differential equations in one dimension is explained by relating the DG method to a particular continuous method, whose accuracy depends in part on a local analysis, and in part on information transferred from upwind elements.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2016-0052
Communications in Computational Physics, Vol. 21 (2017), Iss. 4 : pp. 905–912
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
-
A New ADER Method Inspired by the Active Flux Method
Helzel, Christiane | Kerkmann, David | Scandurra, LeonardoJournal of Scientific Computing, Vol. 80 (2019), Iss. 3 P.1463
https://doi.org/10.1007/s10915-019-00988-1 [Citations: 17] -
Theory, Numerics and Applications of Hyperbolic Problems II
Did Numerical Methods for Hyperbolic Problems Take a Wrong Turning?
Roe, Philip
2018
https://doi.org/10.1007/978-3-319-91548-7_39 [Citations: 3] -
Residual-based a posteriori error analysis of an ultra-weak discontinuous Galerkin method for nonlinear second-order initial-value problems
Baccouch, Mahboub
Numerical Algorithms, Vol. (2024), Iss.
https://doi.org/10.1007/s11075-024-01799-8 [Citations: 0] -
Designing CFD methods for bandwidth—A physical approach
Roe, Philip
Computers & Fluids, Vol. 214 (2021), Iss. P.104774
https://doi.org/10.1016/j.compfluid.2020.104774 [Citations: 10] -
Finite Volumes for Complex Applications X—Volume 1, Elliptic and Parabolic Problems
A Review of Cartesian Grid Active Flux Methods for Hyperbolic Conservation Laws
Chudzik, Erik | Helzel, Christiane2023
https://doi.org/10.1007/978-3-031-40864-9_6 [Citations: 1]