This book introduces the basic ideas to build discontinuous Galerkin methods and, at the
same time, incorporates several recent mathematical developments. The presentation is to a …

The discontinuous Galerkin methods are locally conservative, high‐order accurate, and
robust methods that can easily handle elements of arbitrary shapes, irregular triangulations …

In this paper, we consider the local discontinuous Galerkin (LDG) finite element method for
one-dimensional time-fractional Fisher's equation, which is obtained from the standard one …

We present a new a priori stability and convergence analysis for the local discontinuous
Galerkin method applied to the instationary Darcy problem formulated on ad‐dimensional …

In this paper, we consider the local discontinuous Galerkin (LDG) finite element method for
one-dimensional linear time-fractional Tricomi-type equation (TFTTE), which is obtained …

Using tensor notation, a simplified description of the most relevant operators of the local
discontinuous Galerkin (LDG) method applied to a general elliptic boundary value problem …

We present and analyze a structure-preserving method for the approximation of solutions to
nonlinear cross-diffusion systems, which combines a Local Discontinuous Galerkin spatial …

A numerical study of the classical and penalized LDG method applied to vector Helmholtz
equation on three dimensional domains is presented. Using a simple numerical flux based …

En este artículo se describe una implementación del método" Local Discontinuous
Galerkin"(LDG) aplicado a problemas elípticos en 3D. Se discute la implementación de los …

This thesis will present a method of unstructured anisotropic adaptation for all-quad mesh
suitable for use with high-order methods. The overall goal is to minimize the computational …