Error estimates of finite element methods for parameter identifications in elliptic and parabolic systems

Error estimates of finite element methods for parameter identifications in elliptic and parabolic systems
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椭圆和抛物线系统参数识别的有限元方法的误差估计

DOI:
10.3934/dcdsb.2010.14.1641
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发表时间:
2010-08
期刊:
Discrete and Continuous Dynamical Systems-B (DCDS-B)
影响因子:
--
通讯作者:
Zou, Jun
Zou, Jun
中科院分区:
其他
文献类型:
--
作者:
Wang, Lijuan;Zou, Jun

文献摘要

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本文研究二阶椭圆型和抛物型系统参数辨识的有限元解。建立了有限元解的L^2元和能量范数误差估计。
This work is concerned with the finite element solutions for parameter identifications in second order elliptic and parabolic systems. The $L^2$- and energy-norm error estimates of the finite element solutions are established in terms of the mesh size,