On Convergence of the Streamline Diffusion and Discontinuous Galerkin Methods for the Multi-Dimensional Fermi Pencil Beam Equation
Artikel i vetenskaplig tidskrift, 2013

We derive error estimates in the L-2 norms, for the streamline diffusion (SD) and discontinuous Galerkin (DG) finite element methods for steady state, energy dependent, Fermi equation in three space dimensions. These estimates yield optimal convergence rates due to the maximal available regularity of the exact solution. Here our focus is on theoretical aspects of the h and hp approximations in both SD and DG settings.

1986

stability

V19

ELLIPTIC PROBLEMS

convergence

Fermi equation

GOND P

discontinuous Galerkin

P519

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE

streamline diffusion

FOKKER-PLANCK SYSTEM

APPROXIMATION

particle beam

Författare

Mohammad Asadzadeh

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

E. Kazemi

Isfahan University of Technology

International Journal of Numerical Analysis and Modeling

1705-5105 (ISSN)

Vol. 10 4 860-875

Ämneskategorier

Matematik

Fundament

Grundläggande vetenskaper