Stability and convergence of a local discontinuous Galerkin finite element method for the general Lax equation

In this paper we develop and analyze the local discontinuous Galerkin (LDG) finite element method for solving the general Lax equation. The local discontinuous Galerkin method has the flexibility for arbitrary h and p adaptivity, and allows for hanging nodes. By choosing the numerical fluxes careful...

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Bibliographic Details
Main Authors: Wei Leilei, Mu Yundong
Format: Article
Language:English
Published: De Gruyter 2018-09-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2018-0091