期刊
APPLIED NUMERICAL MATHEMATICS
卷 45, 期 2-3, 页码 123-138出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/S0168-9274(02)00193-9
关键词
inhomogeneous dam problem; flows in porous media; free media; shape optimization; finite element method; convergence
In this paper, we deal with an optimal shape design approach for the numerical realization of the flow problem of incompressible liquid through an inhomogeneous porous medium (say dam), with a class of permeability coefficients. Our interest is in studying numerical approximation of the solution of the optimal shape design problem proposed in [C. R. Acad. Sci. Paris Ser. I Math. 329 (10) (1999) 933-938]. We consider discretization of this problem based on linear finite elements. We prove the existence of the solution of the discrete problem. We study the convergence of the discrete problem. We present some results on numerical experiments including comparisons to the results obtained by a variational approach. (C) 2002 IMACS. Published by Elsevier Science B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据