ScienceAsia 29 (2003): 121-126 |doi: 10.2306/scienceasia1513-1874.2003.29.121

An Inverse Boundary Value Problem using the Extended Kalman Filter

Krishna Murari Neaupane^a* and Mitsutaka Sugimoto^b

ABSTRACT: It is necessary to estimate thermal boundary condition in a number of scientific and engineering applications. The research in this paper uses extended Kalman filter coupled with the finite element method to formulate an inverse problem and estimate the thermal boundary known as heat transfer coefficient (HTC). A simple non-linear formulation based on steady-state heat conduction has been incorporated in the Kalman filter loop. From the laboratory experiment, steady state temperatures were measured at predefined locations. The heat transfer coefficient (HTC) was estimated inversely from these measurements.

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a Civil Engineering Program, SIIT, Thammasat University, Pathumthani 12121
b Soil mechanics Laboratory, Nahaoka University of Technology, Niigata, 940-2135, Japan

* Corresponding author, Email: krishna@siit.tu.ac.th

Received 18 jan 2002, Accepted 18 Oct 2002