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Local Discontinuous Galerkin Method with Reduced Stabilization for Diffusion Equations
Communications in Computational Physics, 2009We extend the results on minimal stabilization of Burman and Stamm [J. Sci. Comp., 33 (2007), pp.~183-208] to the case of the local discontinuous Galerkin methods on mixed form. The penalization term on the faces is relaxed to act only on a part of the polynomial spectrum.
Burman, Erik, Stamm, Benjamin
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On the local discontinuous Galerkin method for singularly perturbed problem with two parameters
Journal of Computational and Applied Mathematics, 2021Yao Cheng
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A local discontinuous Galerkin method for the compressible Reynolds lubrication equation
Applied Mathematics and Computation, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Iñigo Arregui +2 more
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Journal of Scientific Computing, 2020
Changpin Li, Zhiqiang Li, Zhen Wang
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Changpin Li, Zhiqiang Li, Zhen Wang
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The local discontinuous Galerkin method for the nonlinear quantum Zakharov system
Journal of Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan Wang, Qi Tao, Yan Xu 0008
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The Local Discontinuous Galerkin Method for Contaminant Transport Problems
2000We discuss the application of the Local Discontinuous Galerkin method to the approximation of contaminant transport in porous media.
Clint Dawson +2 more
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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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