Modeling the flash-heat experiment on porous domains

DOI10.1090/S0033-569X-2011-01230-8zbMath1242.76317OpenAlexW2001832010WikidataQ57432463 ScholiaQ57432463MaRDI QIDQ3225359

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

Publication date: 19 March 2012

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0033-569x-2011-01230-8

zbMATH Keywords

homogenizationporous mediathermal diffusionflash-heat experiment

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Flows in porous media; filtration; seepage (76S05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization in optics and electromagnetic theory (78M40)

Uses Software

• Partial Differential Equation Toolbox

Cites Work

• Unnamed Item
• Homogenization of reticulated structures
• Homogenization and correctors for the heat equation in perforated domains
• The Periodic Unfolding Method in Domains with Holes
• Partial Differential Equations and the Finite Element Method
• Boundary estimation problems arising in thermal tomography
• Boundary shape identification problems in two-dimensional domains related to thermal testing of materials
• Nondestructive evaluation using a reduced-order computational methodology
• Identification of material damage in two-dimensional domains using the SQUID-based nondestructive evaluation system
• Thermal-based damage detection in porous materials
• Parameter estimation for the heat equation on perforated domains
• An algebraic condition for the separation of two ellipsoids

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