On Convergence of the Streamline Diffusion and Discontinuous Galerkin Methods for the Multi-Dimensional Fermi Pencil Beam Equation
Journal article, 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
Author
Mohammad Asadzadeh
Chalmers, Mathematical Sciences, Mathematics
University of Gothenburg
E. Kazemi
Isfahan University of Technology
International Journal of Numerical Analysis and Modeling
1705-5105 (ISSN)
Vol. 10 4 860-875Subject Categories
Mathematics
Roots
Basic sciences