Discontinuous Galerkin Discretization and $hp$-Refinement for the Resolution of the Neutron Transport Equation

Discontinuous Galerkin Discretization and hp-Refinement for the Resolution of the Neutron Transport Equation

Convergence of a Discontinuous Galerkin Scheme for the Neutron Transport

We study the spatial discretization for the numerical solution of a model problem for the neutron transport equation in an innnite cylindrical media. Based on using an interpolation technique in the discontinuous Galerkin nite element procedure, and regulariz-ing properties of the solution operator, we derive an optimal error estimate in L 2 ?norm for the scalar ux. This result, combined with a...

On discontinuous Galerkin and discrete ordinates approximations for neutron transport equation and the critical eigenvalue

Discontinuous Galerkin Methods for the Radiative Transport Equation

This notes presents some recent results regarding the approximation of the linear radiative transfer equation using discontinuous Galerkin methods. The locking effect occurring in the diffusion limit with the upwind numerical flux is investigated and a correction technique is proposed.

hp-Discontinuous Galerkin methods for the Helmholtz equation with large wave number

This paper develops some interior penalty hp-discontinuous Galerkin (hp-DG) methods for the Helmholtz equation in two and three dimensions. The proposed hp-DG methods are defined using a sesquilinear form which is not only mesh-dependent but also degree-dependent. In addition, the sesquilinear form contains penalty terms which not only penalize the jumps of the function values across the elemen...