HOMOGENIZATION OF HAMILTON–JACOBI EQUATIONS: NUMERICAL METHODS
HOMOGENIZATION OF HAMILTON–JACOBI EQUATIONS: NUMERICAL METHODS
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哈密尔顿-雅可比方程的齐次化：数值方法
DOI：
10.1142/s0218202508002978
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发表时间：
2008
影响因子：
3.5
通讯作者：
I. Dolcetta
中科院分区：
文献类型：
--
作者：
Y. Achdou;F. Camilli;I. Dolcetta
研究了Hamilton-Jacobi方程齐次化中极限问题的逼近策略。它们首先涉及到有效哈密顿量的近似值然后用近似有效哈密顿量对哈密顿-雅可比方程进行离散化。我们给出了一个考虑了所有参数的全局误差估计。
We study approximation strategies for the limit problem arising in the homogenization of Hamilton–Jacobi equations. They involve first an approximation of the effective Hamiltonian then a discretization of the Hamilton–Jacobi equation with the approximate effective Hamiltonian. We give a global error estimate which takes into account all the parameters involved in the approximation.