Optimal error estimates of the local discontinuous Galerkin methods based on generalized fluxes for 1D linear fifth order partial differential equations

Optimal error estimates of the local discontinuous Galerkin methods based on generalized fluxes for 1D linear fifth order partial differential equations

Abstract In this paper, we study the error estimates of local discontinuous Galerkin methods based on the generalized numerical fluxes for the one-dimensional linear fifth order partial differential equations. We use a newly developed global Gauss–Radau projection to obtain the linear type of optima...

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Bibliographic Details
Main Authors: Hui Bi, Yixin Chen
Format: Article
Language:English
Published: SpringerOpen 2022-08-01
Series:Journal of Inequalities and Applications
Subjects:
Local discontinuous Galerkin methods
Fifth order partial differential equations
Global Gauss–Radau projection
Error estimates
Online Access:https://doi.org/10.1186/s13660-022-02843-8

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