Parameter estimation for the heat equation on perforated domains

被引：2

作者：

Banks, H. T. ^{[1
]}

Cioranescu, D. ^{[2
]}

Criner, A. K. ^{[1
]}

Winfree, W. P. ^{[3
]}

机构：

[1] N Carolina State Univ, Dept Math, Ctr Res Sci Computat, Raleigh, NC 27695 USA

[2] Univ Paris 06, Lab JL Lions, F-75005 Paris, France

[3] NASA Langley Res Ctr, Nondestruct Evaluat Sci Branch, Hampton, VA 23681 USA

来源：

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2011年 / 19卷 / 06期

基金：

美国国家科学基金会;

关键词：

Inverse problems; parameter estimation; perforated domains; homogenization; thermal diffusion; ordinary least squares; generalized least squares;

D O I：

10.1515/JIIP.2011.051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this effort we investigate the behavior of a model derived from homogenization theory as the model solution in parameter estimation procedures for simulated data for heat flow in a porous medium. We consider data simulated from a model on a perforated domain with isotropic flow and data simulated from a model on a homogeneous domain with anisotropic flow. We report on both ordinary and generalized least squares parameter estimation procedures.

引用

页码：825 / 857

页数：33

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