A posteriori error estimates for the Fokker-Planck and Fermi pencil beam equations

被引：12
|
作者：
Asadzadeh, M [1 ]
机构：
[1] Chalmers Univ Technol, Dept Math, SE-41296 Gothenburg, Sweden
[2] Univ Gothenburg, SE-41296 Gothenburg, Sweden
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2000年 / 10卷 / 05期
关键词：
D O I：
10.1142/S0218202500000380
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove a posteriori error estimates for a finite element method for steady-state, energy dependent, Fokker-Planck and Fermi pencil beam equations in two space dimensions and with a forward-peaked scattering (i.e. with velocities varying within the right unit semi-circle). Our estimates are based on a transversal symmetry assumption, together with a strong stability estimate for an associated dual problem combined with the Galerkin orthogonality of the finite element method.
引用
收藏
页码：737 / 769
页数：33
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