Parameter Estimation for the Heat Equation on Perforated Domains

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 simulate...

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Bibliographische Detailangaben
Hauptverfasser:	Banks, H T, Cioranescu, D, Criner, Amanda K, Winfree, W P
Format:	Report
Sprache:	eng
Schlagworte:	ABSOLUTE ERROR ANISOTROPY APPROXIMATION(MATHEMATICS) COMPOSITE MATERIALS DAMAGE ASSESSMENT DAMAGE DETECTION ERRORS GENERALIZED LEAST SQUARES GRAPHS HEAT FLASH EXPERIMENT HEAT FLOW HEAT TRANSMISSION HOMOGENIZATION THEORY INVERSE PROBLEMS Laminates and Composite Materials LEAST SQUARES METHOD MATHEMATICAL MODELS NONDESTRUCTIVE TESTING ORDINARY LEAST SQUARES PARAMETER ESTIMATION PERFORATED DOMAINS POROUS MATERIALS RANDOM ERROR RANDOM VARIABLES RELATIVE ERROR SIMULATED DATA SPATIAL NODES Statistics and Probability TEMPORAL NODES Test Facilities, Equipment and Methods THERMAL DIFFUSION Thermodynamics
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Beschreibung
Zusammenfassung:	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 consider both ordinary and generalized least squares parameter estimation procedures. Prepared in collaboration with the Nondestructive Evaluation Science Branch, NASA Langley Research Center, Hampton, VA and the Laboratoire J. L. Lions, Universite Pierre et Marie Curie, Paris, France. Sponsored in part by the National Science Foundation.