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

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

Direct Discontinuous Galerkin Method and its Variations for Second Order Elliptic Equations · Journal of Scientific Computing 70(2): 744-765 · 2016 · Related ...

A Symmetric Direct Discontinuous Galerkin Method for the ...

Additional numerical flux functions involving the jump of second order derivative of test functions are added to the original direct discontinuous Galerkin (DDG) ...

Optimal error estimates of the direct discontinuous Galerkin method ...

xu]. The algorithm is now well defined once the two parameters βi are chosen, and a ... and its variations for diffusion equations, J. Sci ...

Discontinuous Galerkin Methods for Computational Fluid Dynamics

The second is that whereas the shock-capturing DG methods converge to the ... Thus, this semi-norm is the total variation of the local means of uh. The ...

Local Discontinuous Galerkin Methods for High-Order Time ...

Another DG method for solving second order diffusion problems is introduced by. Liu and Yan in [72], which the authors called the direct discontinuous Galerkin ...

Discontinuous Galerkin methods - HAL

The second is that the DG methods are locally conservative. This is a reflection of the fact that the method enforces the equation element ...

High order symmetric direct discontinuous Galerkin method ... - OUCI

Huang, Direct discontinuous Galerkin method and its variations for second order elliptic equations, J. Sci. Comput., № 70, с. 744 https://doi.org/10.1007 ...

Superconvergence Study of the Direct Discontinuous Galerkin ...

A Local Discontinuous Galerkin Method for Two-Dimensional Time Fractional Difusion Equations[J]. Communications on Applied Mathematics and Computation, 2020, 2( ...

[PDF] A discontinuous Galerkin finite element method for time ...

A new discontinuous Galerkin (DG) finite element method for solving time dependent partial differential equations (PDEs) with higher order spatial ...

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

Superconvergence Study of the Direct Discontinuous Galerkin Method and Its Variations for Diffusion Equations. by Jue Yan. 2021. In this paper, we apply the ...

Discontinuous Galerkin method for convection-dominated time ...

The second example is the double Mach reflection problem for the two dimensional compressible Euler equations. Division of Applied Mathematics, Brown University ...

The Discontinuous Galerkin method

method (or Heun's method, or two-stage Runge-Kutta method). At time step ti ... Find an appropriate variation of the order inside the elements to.

A brief survey on discontinuous Galerkin methods in computational ...

Another DG method which solves directly the. Hamilton-Jacobi Eq. (12) is that of Yan and Os- her (2011). This method is motivated by the local discontinuous ...

Petrov-Galerkin and Discontinuous-Galerkin Methods for ... - UTC

Another approach that has been used for the numerical simulation of Maxwell's equations is the finite-volume method. Here, the first-order curl form of the ...

Discontinuous Galerkin method - Wikipedia

In 1973 Reed and Hill introduced a DG method to solve the hyperbolic neutron transport equation. The origin of the DG method for elliptic problems cannot be ...

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 ...

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/ ...

direct discontinuous Galerkin (DDG) method is based on the direct weak formulation for solutions of parabolic equations in each computational cell and lets ...

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, ...

The development of discontinuous Galerkin methods

I n section 5 , we describe the extension of the R KDG method to H amilton-. J acobi equations and the extension of the L DG method to second-order non-.