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

Shu, A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations, Journal of Computational Physics, 223 (2007),. 398-415.

Discontinuous Galerkin finite element methods for radiative transfer ...

The discontinuous Galerkin finite element method (DG-FEM) is successfully applied to treat a broad variety of transport problems numerically. In this work, we ...

A Reconstructed Discontinuous Galerkin Method for the ...

The discontinuous Galerkin methods combine two advantageous features commonly associated to finite element and finite volume methods. As in classical finite ...

a conservative discontinuous galerkin method for the degasperis ...

... the second equation in (1) directly, and then solve u by the DG method applied to the first equation in (1); (ii) the choice of our numerical fluxes is made ...

A Discontinuous Galerkin Method for Solving Total Variation ...

Considering the Euler-Lagrange equation, the minimizer of the relaxed functional is equivalent to the solution of a second order elliptic partial ...

The Local Discontinuous Galerkin Method for Time-Dependent ...

These methods are an extension of the Runge--Kutta discontinuous Galerkin (RKDG) methods for purely hyperbolic systems to convection-diffusion systems and share ...

Discontinuous Galerkin Methods for Hyerbolic PDEs: 1 - YouTube

Computational Plasma Astrophysics: July 26, 2016 Prospects in Theoretical Physics is an intensive two-week summer program typically designed ...

Direct discontinuous Galerkin method for potential magnetic field ...

In this paper, we employ the direct discontinuous Galerkin (DDG) method for the first time to extrapolate the coronal potential magnetic field (PF) with the ...

Riverbed variation analysis using discontinuous Galerkin method in ...

The discontinuous Galerkin (DG) method is effective and promising tool for the hyperbolic equations with discontinuities. In recent years, the DG method has ...

arbitrary high-order discontinuous Galerkin method for elastic waves ...

We combine a discontinuous Galerkin (DG) method with the ideas of the ADER time integration approach using Arbitrary high-order DERivatives. The time ...

A staggered discontinuous Galerkin method for the simulation of ...

The SDG method is typically applied to the first-order formulation of wave equations, and it starts with two sets of irregular, staggered grids for each of the ...

Mathematical Models and Methods in Applied Sciences

The first formulation yields an numerically inconsistent and weakly unstable scheme, while the other two formulations, the local discontinuous Galerkin approach ...

Solving coupled nonlinear Schrödinger equations via a direct ...

We prove that the new discontinuous Galerkin method preserves the discrete mass conservations corresponding to the properties of the CNLS system. The ordinary ...

Bound-preserving discontinuous Galerkin methods with second ...

The SIPEC method is a crucial innovation based on the traditional second-order strong- stability-preserving Runge-Kutta (SSP-RK2) method. The main idea is to ...

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 ...

OPTIMAL ERROR ESTIMATES OF THE DIRECT ... - jstor

details of the proof for linear diffusion with different convections to illustrate the main ideas. The discontinuous Galerkin (DG) method we ...

Analysis and development of adjoint-based h-adaptive direct ...

In this paper, an adjoint-based high-order h-adaptive direct discontinuous Galerkin method is developed and analyzed for the two dimensional ...

A new approach for admissibility analysis of the direct discontinuous ...

24 M. Zhang and J. Yan, Fourier type error analysis of the direct discontinuous Galerkin method and its variations for diffusion equations, J ...

arbitrary high-order discontinuous Galerkin method for elastic waves ...

The proposed method combines the Discontinuous Galerkin method with the arbitrary high-order derivatives (ADER) time integration approach using arbitrary high- ...

Introduction to Discontinuous Galerkin Finite Element Method for ...

BosonQ Psi hosted a guest lecture by Shruthi Kamesh (University of Michigan, USA) as part of the Women in Quantum Initiative.