An improved pointwise error estimate of the LDG method for 1-d singularly perturbed reaction-diffusion problem

Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Cites Work

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Convergence analysis of the LDG method for singularly perturbed two-point boundary value problems
Layer-adapted meshes for reaction-convection-diffusion problems
An $hp$-analysis of the local discontinuous Galerkin method for diffusion problems
Balanced-norm error estimate of the local discontinuous Galerkin method on layer-adapted meshes for reaction-diffusion problems
The local discontinuous Galerkin method on layer-adapted meshes for time-dependent singularly perturbed convection-diffusion problems
Local discontinuous Galerkin method for time-dependent singularly perturbed semilinear reaction-diffusion problems
An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems
Pointwise error estimates for the LDG method applied to 1-d singularly perturbed reaction-diffusion problems
An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
Optimal a priori error estimates for the $hp$-version of the local discontinuous Galerkin method for convection--diffusion problems
Fitted Numerical Methods For Singular Perturbation Problems
Robust Numerical Methods for Singularly Perturbed Differential Equations
Uniform superconvergence analysis of the discontinuous Galerkin method for a singularly perturbed problem in 1-D
An Iterative Numerical Algorithm for a Strongly Coupled System of Singularly Perturbed Convection-Diffusion Problems
The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
Pointwise error estimates of the local discontinuous Galerkin method for a second order elliptic problem
Layer-adapted meshes for one-dimensional reaction–convection–diffusion problems
The Mathematical Theory of Finite Element Methods
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem
Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story?
Optimal pointwise convergence of the LDG method for singularly perturbed convection-diffusion problem