Rates of convergence in periodic homogenization of fully nonlinear uniformly elliptic PDEs
Rates of convergence in periodic homogenization of fully nonlinear uniformly elliptic PDEs
复制标题
全非线性均匀椭圆偏微分方程周期性均匀化的收敛率
DOI：
10.1088/0951-7715/22/6/011
复制
发表时间：
2009
期刊：
影响因子：
1.7
通讯作者：
Claudio Marchi
中科院分区：
文献类型：
--
作者：
F. Camilli;Claudio Marchi
研究了全非线性一致椭圆方程的周期均匀化问题。给出了均匀化问题解u的收敛率的估计。此外，我们还描述了有效非线性近似的数值格式，并估计了相应的收敛速度。
We consider periodic homogenization of the fully nonlinear uniformly elliptic equation . We give an estimate of the rate of convergence of uε to the solution u of the homogenized problem . Moreover we describe a numerical scheme for the approximation of the effective nonlinearity and we estimate the corresponding rate of convergence.