Fourier analysis of the local discontinuous Galerkin method for the linearized KdV equation
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Earth and Planetary Sciences,Modeling and Simulation
Link
https://link.springer.com/content/pdf/10.1007/s13137-022-00209-2.pdf
Reference14 articles.
1. Ainsworth, M.: Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods. J. Comput. Phys. 198, 106–130 (2004). https://doi.org/10.1016/j.jcp.2004.01.004
2. Cao, W., Huang, Q.: Superconvergence of local discontinuous Galerkin methods for partial differential equations with higher order derivatives. J. Sci. Comput. 72, 761–791 (2017). https://doi.org/10.1007/s10915-017-0377-z
3. Guo, W., Zhong, X., Qiu, J.M.: Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: eigen-structure analysis based on Fourier approach. J. Comput. Phys. 235, 458–485 (2013). https://doi.org/10.1016/j.jcp.2012.10.020
4. Hesthaven, J.S., Warburton, T.: Insight through theory. In: Nodal Discontinuous Galerkin methods: algorithms, analysis, and applications. Texts in applied mathematics, vol 54. Springer, New York (2008)
5. Hu, F.Q., Hussaini, M.Y., Rasetarinera, P.: An analysis of the discontinuous Galerkin method for wave propagation problems. J. Comput. Phys. 151, 921–946 (1999). https://doi.org/10.1006/jcph.1999.6227
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