二维稳态各向异性介质渗透率的反演问题

This paper seeks to identify the coefficient v in the steady-state diffusion equa-tion -div(v gradu) = f for two dimensional anisotropic medium in a boundeddomain Ω from two known solutions u1, u2 of the corresponding Dirichlet prob-lems, where f is known, v takes diagonal matrix values, which are given at theboundary of Ω, and may have mild discontinuities. This problem is solved byminimization of an associated functional. We propose an alternating Neubergergradient algorithm, and show the results of numerical experiments.

二维各向异性浮雕型光栅的矢量衍射分析

利用严格模式理论对二维电磁各向异性浮雕型介质光栅的衍射特性进行了理论分析 ,并对其退化情形进行讨论。文中采用反射透射系数矩阵算法和校正傅里叶展开规则以提高数值计算的稳定性、收敛性和计算效率。通过对光栅进行数值计算表明 ,该方法在可靠性、稳定性和收敛性方面是令人满意的。