Parameter estimation for the heat equation on perforated domains

DOI10.1515/jiip.2011.051zbMath1279.65109OpenAlexW2050873091WikidataQ57434177 ScholiaQ57434177MaRDI QIDQ5745485

William P. Winfree, Amanda Keck Criner, Harvey Thomas Banks, Doina Cioranescu

Publication date: 30 January 2014

Published in: jiip (Search for Journal in Brave)

Full work available at URL: http://www.lib.ncsu.edu/resolver/1840.4/4274

zbMATH Keywords

parameter estimationinverse problemshomogenizationthermal diffusiongeneralized least squaresordinary least squaresperforated domains

Mathematics Subject Classification ID

Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (2)

Modeling the flash-heat experiment on porous domains ⋮ Stabilization by multiplicative Itô noise for Chafee-Infante equation in perforated domains

Cites Work

• Statistical methods for model comparison in parameter estimation problems for distributed systems
• Thermal-based damage detection in porous materials
• The Periodic Unfolding Method in Homogenization
• Sensitivity functions and their uses in inverse problems
• An algebraic condition for the separation of two ellipsoids

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