Direct Discontinuous Galerkin Method and its Variations for Second ...

Direct Discontinuous Galerkin Method and Its Variations for Second ...

Discontinuous Galerkin (DG) method is a class of finite element method that use completely discontinuous piecewise functions as the numerical approxima- tions.

Direct Discontinuous Galerkin Method and Its Variations for Second ...

Discontinuous Galerkin (DG) method is a class of finite element method that use completely discontinuous piecewise functions as the numerical ...

Direct discontinuous Galerkin method and its variations for second ...

Title: Direct discontinuous Galerkin method and its variations for second order elliptic equations ... A priori error estimate under energy norm ...

Direct Discontinuous Galerkin Method and Its Variations for Second ...

Request PDF | Direct Discontinuous Galerkin Method and Its Variations for Second Order Elliptic Equations | In this paper, we study direct ...

analysis of direct discontinuous Galerkin methods for multi ...

The idea of DDG methods for higher order PDEs, such as the convection diffusion equation. (1), is to directly force the weak solution formulation of the PDE ...

Bound-preserving discontinuous Galerkin methods with second ...

There are two main difficulties in constructing a second-order scheme. Firstly, in the concentration equation, correction of the diffusion term ...

Direct Discontinuous Galerkin Method and Its Variations for Second ...

Direct Discontinuous Galerkin Method and Its Variations for Second Order Elliptic Equations · List of references · Publications that cite this publication.

Direct Discontinuous Galerkin Method and Its Variations for Diffusion ...

4) a new DG method with none symmetric structure. Major contribution of the DDG method is the introduction of the jumps of second or higher ...

A generalized framework for direct discontinuous Galerkin methods ...

Another important group of DG methods for solving diffusion problems include the method of Bassi and Rebay (BR) and its variations [5, 6, 7 ...

Discontinuous Galerkin Methods: General Approach and Stability

A naive and careless application of the dis- continuous Galerkin method directly to the heat equation containing second derivatives could yield a method ...

discontinuous galerkin method - an overview | ScienceDirect Topics

It is a method that discretizes space into cells and approximates the flow equations using finite-dimensional function spaces.

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

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

Dear Author, Here are the proofs of your article. - OSTI.GOV

Direct Discontinuous Galerkin Method and Its Variations for Second Order Elliptic Equations. Article Sub-Title. Article CopyRight. Springer Science+Business ...

The Error Estimates of Direct Discontinuous Galerkin Methods ...

With the development of DG, the direct discontinuous Galerkin (DDG) method [2] was proposed by Liu to solve the second order partial ...

The Direct Discontinuous Galerkin (DDG) Methods for Diffusion ...

Unlike the traditional local discontinuous Galerkin method, the scheme called the direct discontinuous Galerkin (DDG) method is based on the direct weak ...

Different Formulations Of The Discontinuous Galerkin Method For ...

A naive and careless application of the discontinuous Galerkin method directly to the heat equation containing second derivatives could yield a method which ...

Coupling of direct discontinuous Galerkin method and natural ...

The feature allows one to use continuous basis functions on the artificial boundary for the NBE method but apply discontinuous basis functions ...

The Error Estimates of Direct Discontinuous Galerkin Methods ...

With the development of DG, the direct discontinuous Galerkin (DDG) method [2] was proposed by Liu to solve the second order partial differential equations. The ...

A Symmetric Direct Discontinuous Galerkin Method for the ...

In their paper, the DDG method was successfully ap- plied to one and two dimensional diffusion and convection-diffusion equations on struc- tured meshes. Later, ...

Mixed Direct Discontinuous Galerkin Method for the Biharmonic ...

For example, when the second-order normal derivative. Page 3. ICMMAP-2023. Journal of Physics: Conference Series. 2660(2023) 012028. IOP Publishing doi:10.1088/ ...