Methods for solving discontinuous-Galerkin finite element equations with application to neutron transport

The proposed method will be able to capture the effective solution of the multiscale advection–diffusion problem by coupling a discontinuous Galerkin method based on quadrature

Model order reduction based solver for discontinuous Galerkin element approximation of time-domain Maxwell’s equations in dispersive media DGTD formulations Space-discrete

In this work, we perform error estimates to smooth solutions of semi-discrete discontinuous Galerkin (DG) methods with the P k finite element space of piecewise kth degree

Zou, Superconvergence of Discontinuous Galerkin method for linear hyperbolic equations, SIAM Journal on Numerical Analysis, 52 (2013), 2555-2573..

We propose subspace correction meth- ods based on a splitting of the vector valued piecewise linear discontinuous finite element space, that are optimal with respect to the mesh

Finite element methods, mixed and hybrid methods, discontinuous Galerkin and Petrov–Galerkin meth- ods, nonconforming finite elements, stabilized finite elements,

The paper is organized as follows: in Section 2 we introduce the equations of elasticity and the discontinuous Galerkin method, and we prove a priori error estimates; in Section 3

BREZZI, Mixed and nonconforming finite element methods : Implementation, postprocessing and error estimâtes,