A Stability Analysis on Beck's Procedure for Inverse Heat Conduction Problems

✍ Scribed by Jun Liu

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 234 KB
• Volume: 123
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1996.0005

✦ Synopsis

11]. The sequential function specification method or future temperature information method is developed in Beck [2].

The sequential function specification method proposed first by Beck is considered as one of the most efficient methods for the ȍ iϭ1 ͉X i ͉ is convergent is by Reinhardt [12]. In this paper, we try to analyze the stability established numerically. Under the stability condition, an error estiof this method with reference to a linear one-dimensional IHCP.

mation of the Beck's method is derived. The approach presented This paper is organized as follows. In Section 2, we give a could be also applied to multidimensional IHCPs, in which the coefficients Ͱ i and X i are no longer scalar but become square new formulation for Beck's method which forms the basis matrices.