Superconvergence Study of the Direct Discontinuous Galerkin ...

1 Introduction · The DDG methods are a class of discontinuous Galerkin (DG) finite element methods designed for diffusion equations. · For the ...

Superconvergence of the Direct Discontinuous Galerkin Method for ...

Mathematics > Numerical Analysis. arXiv:2111.03986 (math). [Submitted on 7 Nov 2021]. Title:Superconvergence of the Direct Discontinuous Galerkin Method for ...

Superconvergence of the direct discontinuous Galerkin method for ...

studied a set of more effective choices of parameters in the DDG numerical fluxes [17, 18], and proved an optimal L2 error estimates for the DDG ...

(PDF) Superconvergence Study of the Direct Discontinuous Galerkin ...

In this paper, we apply the Fourier analysis technique to investigate superconvergence properties of the direct disontinuous Galerkin (DDG) method (Liu and ...

Superconvergence Study of the Direct Discontinuous Galerkin ...

Abstract: In this paper, we apply the Fourier analysis technique to investigate superconvergence properties of the direct disontinuous Galerkin (DDG) method ...

Superconvergence Study of the Direct Discontinuous Galerkin ...

Keywords Direct discontinuous Galerkin methods · Superconvergence · Fourier analysis ·. Diffusion equation. Mathematics Subject Classification ...

Superconvergence Study of the Direct Discontinuous Galerkin ...

In this paper, we apply the Fourier analysis technique to investigate superconvergence properties of the direct disontinuous Galerkin (DDG) method (Liu and ...

Superconvergence of the Direct Discontinuous Galerkin Method for ...

In [13], the authors studied superconvergence phenomenon of DDG methods for the linear convection- diffusion equation in the one-dimensional ...

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

The main purpose of the current work is to study and reveal the superconvergence phenomenon of the DDG method for two-dimensional nonlinear ...

Superconvergence of Direct Discontinuous Galerkin Methods

[13.] Chuenjarern N , Yang Y . Fourier analysis of local discontinuous Galerkin methods for linear parabolic ...

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

Abstract A time-fractional reaction–diffusion initial-boundary value problem with periodic boundary condition is considered on Q ≔ Ω × [0, ...

Superconvergence of the discontinuous Galerkin method for ...

In 1974, LaSaint and Raviart [30] presented the first error analysis of the DG method for first-order IVPs. They showed that the DG method is equivalent to an ...

Superconvergence of the direct discontinuous Galerkin method for ...

In [13] , the authors studied superconvergence phenomenon of DDG methods for the linear convectiondiffusion equation in the one-dimensional setting. Under a ...

Superconvergence of the direct discontinuous Galerkin method for ...

Research Article. Full Access. Superconvergence of the direct discontinuous Galerkin method for convection-diffusion equations. Waixiang Cao ...

Superconvergence of Direct Discontinuous Galerkin Methods: Eigen ...

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

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 Direct Discontinuous Galerkin Methods

We apply the Fourier analysis technique to symbolically compute eigenvalues and eigenvectors of the amplification matrices for both DDG methods ...

Superconvergence Study of the Direct Discontinuous Galerkin ...

Superconvergence Study of the Direct Discontinuous Galerkin Method and Its Variations for Diffusion Equations. https://doi.org/10.1007/s42967-020-00107-0.

Superconvergence of the Local Discontinuous Galerkin Method for ...

Cockburn, I. Perugia, and D. Schötzau, An a priori error analysis of the local discontinuous Galerkin method for elliptic problems, SIAM J. Numer. Anal., ...

Superconvergence of Direct Discontinuous Galerkin Methods

We apply the Fourier analysis technique to symbolically compute eigenvalues and eigenvectors of the amplification matrices for both DDG methods with different ...