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An Optimal Estimate for the Local Discontinuous Galerkin Method
2000L 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.
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Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equations
Physica D: Nonlinear Phenomena, 2005Yan Xu, Chi-Wang Shu
exaly
Local discontinuous Galerkin methods for elliptic problems
Communications in Numerical Methods in Engineering, 2002Bernardo Cockburn +2 more
exaly
Fully discrete local discontinuous Galerkin methods for some time-fractional fourth-order problems
International Journal of Computer Mathematics, 2016Seak-Weng Vong, Zhibo Wang
exaly

