TY - JOUR
ID - 467
TI - The streamline diffusion method with implicit integration for the multi-dimensional Fermi Pencil Beam equation
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Kazemi, E.
AD - Isfahan University of Technology, Isfahan, Iran
Y1 - 2013
PY - 2013
VL - 39
IS - 6
SP - 1159
EP - 1180
KW - Fermi equation
KW - particle beam
KW - streamline diffusion
KW - Backward Euler
KW - Stability
KW - convergence
DO -
N2 - We derive error estimates in the appropriate norms, for the streamlinediffusion (SD) finite element methods for steady state, energy dependent,Fermi equation in three space dimensions. These estimates yield optimal convergencerates due to the maximal available regularity of the exact solution.High order SD method together with implicit integration are used. The formulationis strongly consistent in the sense that the time derivative is includedin the stabilization term. Here our focus is on theoretical aspects of the h andhp approximations in SD settings.
UR - http://bims.iranjournals.ir/article_467.html
L1 - http://bims.iranjournals.ir/article_467_6a62e34662811d8fa55d39ce9ae949e3.pdf
ER -