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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Hlavní autoři:	Hui Bi, Yixin Chen
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	SpringerOpen 2022-08-01
Edice:	Journal of Inequalities and Applications
Témata:	Local discontinuous Galerkin methods Fifth order partial differential equations Global Gauss–Radau projection Error estimates
On-line přístup:	https://doi.org/10.1186/s13660-022-02843-8
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