A Sequential Gradient Method for the Inverse Heat Conduction Problem (IHCP)

Autor:	K. J. Dowding, James V. Beck
Rok vydání:	1999
Předmět:	Computer science Mechanical Engineering Finite difference Inverse problem Condensed Matter Physics Thermal conduction Tikhonov regularization Test case Mechanics of Materials Adjoint equation Conjugate gradient method Applied mathematics General Materials Science Gradient method
Zdroj:	Journal of Heat Transfer. 121:300-306
ISSN:	1528-8943 0022-1481
DOI:	10.1115/1.2825980
Popis:	A sequential-in-time implementation is proposed for a conjugate gradient method using an adjoint equation approach to solve the inverse heat conduction problem (IHCP). Because the IHCP is generally ill-posed, Tikhonov regularization is included to stabilize the solution and allow for the inclusion of prior information. Aspects of the sequential gradient method are discussed and examined. Simulated one and two-dimensional test cases are evaluated to study the sequential implementation. Numerical solutions are obtained using a finite difference procedure. Results indicate the sequential implementation has accuracy comparable to the standard whole-domain solution, but in certain cases requires significantly more computational time. Benefits of the on-line nature of a sequential method may outweigh the additional computational requirements. Methods to improve the computational requirements, which make the method competitive with a whole domain solution, are given.
Databáze:	OpenAIRE
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