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An Optimal Estimate for the Local Discontinuous Galerkin Method

2000
L 2 error estimates for the Local Discontinuous Galerkin (LDG) method have been theoretically proven for linear convection diffusion problems and periodic boundary conditions. It has been proven that when polynomials of degree k are used, the LDG method has a suboptimal order of convergence k.
openaire   +1 more source

Local discontinuous Galerkin methods for elliptic problems

Communications in Numerical Methods in Engineering, 2002
Bernardo Cockburn   +2 more
exaly  

Fully discrete local discontinuous Galerkin methods for some time-fractional fourth-order problems

International Journal of Computer Mathematics, 2016
Seak-Weng Vong, Zhibo Wang
exaly  

Analysis of an implicit fully discrete local discontinuous Galerkin method for the time-fractional Schrödinger equation

Finite Elements in Analysis and Design, 2012
Xindong Zhang, Leilei Wei, Yinnian He
exaly  

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