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Superconvergence of Direct Discontinuous Galerkin Methods


Superconvergence of the Direct Discontinuous Galerkin Method for ...

This paper is concerned with superconvergence properties of the direct discontinuous Galerkin (DDG) method for two-dimensional nonlinear convection-diffusion ...

Superconvergence Study of the Direct Discontinuous Galerkin ...

The DDG methods are a class of discontinuous Galerkin (DG) finite element methods designed for diffusion equations. It was first proposed in [19] ...

Superconvergence of the direct discontinuous Galerkin method for ...

Keywords: convection-diffusion equations; direct discontinuous Galerkin methods; superconvergence. I. INTRODUCTION. In this paper, we study ...

Error estimates of the direct discontinuous Galerkin method for two ...

In this paper, we investigate the superconvergence behavior of the DDG method for the following two-dimensional nonlinear convention-diffusion ...

Superconvergence of the direct discontinuous Galerkin method for ...

For equations containing higher-order spatial derivatives, such as the convection-diffusion equation (1.1), the discontinuous Galerkin (DG) ...

Superconvergence of the Direct Discontinuous Galerkin Method for ...

This paper is concerned with superconvergence properties of the direct discontinuous Galerkin. (DDG) method for two-dimensional nonlinear ...

Superconvergence of Direct Discontinuous Galerkin Methods

This paper investigates superconvergence properties of the direct discontinuous Galerkin (DDG) method with interface corrections and the symmetric DDG ...

Superconvergence of Direct Discontinuous Galerkin Methods: Eigen ...

This paper investigates superconvergence properties of the direct discontinuous Galerkin. (DDG) method with interface corrections and the ...

A superconvergence result for discontinuous Galerkin methods ...

This paper presents a theoretical and numerical study of a class of discontinuous Galerkin methods that shows the approximation of the gradient superconverges ...

Superconvergence of the direct discontinuous Galerkin method for a ...

The numerical method of the paper uses a direct discontinuous Galerkin (DDG) finite element method in space on a uniform mesh, with piecewise ...

Superconvergence of Discontinuous Galerkin Methods for Linear ...

In this paper, we study superconvergence properties of the discontinuous Galerkin (DG) method for one-dimensional linear hyperbolic equations when upwind ...

Superconvergence of the direct discontinuous Galerkin method for ...

Request PDF | Superconvergence of the direct discontinuous Galerkin method for convection-diffusion equations: Superconvergence Of The DDG Method | This ...

[PDF] Superconvergence of discontinuous Galerkin and local ...

Semantic Scholar extracted view of "Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods ... direct discontinuous Galerkin ...

Superconvergence of Direct Discontinuous Galerkin Methods

Request PDF | Superconvergence of Direct Discontinuous Galerkin Methods: Eigen-structure Analysis Based on Fourier Approach | This paper ...

Superconvergence Study of the Direct Discontinuous Galerkin ...

Superconvergence order of (k + 2) is also observed for the IPDG method with P3 polynomial approximations. The errors are sensitive to the choice of the ...

Error estimates of the direct discontinuous Galerkin method for two ...

Moreover, superconvergence properties for the derivative approximation are also studied and the superconvergence points are identified at Gauss ...

Superconvergence of a Discontinuous Galerkin Method for ...

A numerical solution is found by applying a piecewise-linear, discontinuous Galerkin (DG) method in time combined with a piecewise-linear, conforming finite ...

analysis of direct discontinuous Galerkin methods for multi ...

We provide a framework for the analysis of the direct discontinuous Galerkin (DDG) methods for multi-dimensional convection-diffusion equations subject to ...

Superconvergence of energy-conserving discontinuous Galerkin ...

[5] studied superconvergence of the numerical solution by the direct discontinuous Galerkin methods for convection-diffusion equa- tions. Superconvergence ...

Convergence and Superconvergence Analysis of Discontinuous ...

This paper presents a convergence and superconvergence analysis of discontinuous Galerkin (DG) methods for solving index-2 integral algebraic equations ...