Characterization of space dependent thermal conductivity with a BEM-based genetic algorithm
Abbreviated Journal Title
Numer. Heat Tranf. A-Appl.
BOUNDARY INTEGRAL-EQUATION; IR-CAT METHOD; HEAT-CONDUCTION; INVERSE; PROBLEM; STEADY-STATE; SUBSURFACE CAVITIES; ELEMENT METHOD; TRANSIENT; HYDROLOGY; MEDIA; Thermodynamics; Mechanics
An inverse boundary element method is developed to characterize the spatially dependent conductivity k(x) of heterogeneous materials. Surface measurements at exposed boundaries serve as additional input to a genetic algorithm (GA) minimizing a regularized functional measuring the difference between observed and boundary element method (BEM)-predicted surface temperatures under current conductivity estimates. Analytical integration for a given estimate of k(x) provides explicit evaluation of influence coefficients, and series expansions are used to approximate integrands in expressions for these coefficients. Numerical integration is performed just once, a significant speedup in updates of the functional in evolution of the GA.
Numerical Heat Transfer Part a-Applications
"Characterization of space dependent thermal conductivity with a BEM-based genetic algorithm" (2000). Faculty Bibliography 2000s. 2496.