Add to ORKGIn this paper the local discontinuous Galerkin method (LDG) is considered for solving one-dimensional singularly perturbed two-point boundary value problems of convection-diffusion type and reaction-diffusion type. Error estimates are studied on Shishkin meshes. The L(2) error bounds for the LDG approximation of the solution and its derivative are uniformly valid with respect to the singular perturbation parameter. Numerical experiments indicate that the orders of convergence are sharp
Abstract. Three discontinuous Galerkin methods (SIPG, NIPG, DG) are considered for solving a one-dim...
Abstract. In this paper we analyze the Local Discontinuous Galerkin (LDG) method for the constrained...
In this paper, a discontinuous Galerkin least-squares finite element method is developed for singula...
The local discontinuous Galerkin method (LDG) is considered for solving one-dimensional singularly p...
Considering a two-dimensional singularly perturbed convectiondiffusion problem with exponential boun...
Pointwise error estimates of the local discontinuous Galerkin (LDG) method for a one-dimensional sin...
In this paper local discontinuous Galerkin method (LDG) was analyzed for solving 1-D convection-diff...
The mixed formulation of the Local Discontinuous Galerkin (LDG) method is presented for a two bounda...
Local discontinuous Galerkin (LDG) methods are popular for convection–diffusion equations. In LDG me...
�In this article, we studied a discontinuous Galerkin finite element method for convection-diffusion...
This paper proposes a local discontinuous Galerkin method for tempered fractional convection–diffusi...
In this paper, we study the convergence behavior of the local discontin-uous Galerkin (LDG) methods ...
(Communicated by Lubin Vulkov) Abstract. This paper deals with a uniform (in a perturbation paramete...
Some properties of a Local discontinuous Galerkin (LDG) algorithm are demonstrated for the problem o...
In (Xu and Shu in J. Sci. Comput. 40:375–390, 2009), a local discontinuous Galerkin (LDG) method for...
Abstract. Three discontinuous Galerkin methods (SIPG, NIPG, DG) are considered for solving a one-dim...
Abstract. In this paper we analyze the Local Discontinuous Galerkin (LDG) method for the constrained...
In this paper, a discontinuous Galerkin least-squares finite element method is developed for singula...
The local discontinuous Galerkin method (LDG) is considered for solving one-dimensional singularly p...
Considering a two-dimensional singularly perturbed convectiondiffusion problem with exponential boun...
Pointwise error estimates of the local discontinuous Galerkin (LDG) method for a one-dimensional sin...
In this paper local discontinuous Galerkin method (LDG) was analyzed for solving 1-D convection-diff...
The mixed formulation of the Local Discontinuous Galerkin (LDG) method is presented for a two bounda...
Local discontinuous Galerkin (LDG) methods are popular for convection–diffusion equations. In LDG me...
�In this article, we studied a discontinuous Galerkin finite element method for convection-diffusion...
This paper proposes a local discontinuous Galerkin method for tempered fractional convection–diffusi...
In this paper, we study the convergence behavior of the local discontin-uous Galerkin (LDG) methods ...
(Communicated by Lubin Vulkov) Abstract. This paper deals with a uniform (in a perturbation paramete...
Some properties of a Local discontinuous Galerkin (LDG) algorithm are demonstrated for the problem o...
In (Xu and Shu in J. Sci. Comput. 40:375–390, 2009), a local discontinuous Galerkin (LDG) method for...
Abstract. Three discontinuous Galerkin methods (SIPG, NIPG, DG) are considered for solving a one-dim...
Abstract. In this paper we analyze the Local Discontinuous Galerkin (LDG) method for the constrained...
In this paper, a discontinuous Galerkin least-squares finite element method is developed for singula...