A boundary element-based inverse-problem in estimating transient boundary conditions with conjugate gradient method

Cheng Hung Huang, Chih Wei Chen

研究成果: Article同行評審

43 引文 斯高帕斯(Scopus)

摘要

A Boundary Element Method (BEM)-based inverse algorithm utilizing the iterative regularization method, ie. the conjugate gradient method (CGM), is used to solve the Inverse Heat Conduction Problem (IHCP) of estimating the unknown transient boundary temperatures in a multi-dimensional domain with arbitrary geometry. The results obtained by the CGM are compared with the obtained by the standard Regularization Method (RM). The error estimated based on the statistical analysis is derived from the formulation of the RM. A 99% confidence bound is thus obtained. Finally, the effects of the measurement errors to the inverse solutions are discussed. Results show that the advantages of applying the CGM in the inverse calculations in that (1) the major difficulties in choosing a suitable quadratic norm, determining a proper regularization order and determining the optimal smoothing (or regularization) coefficient in the RM are avoided, and (2) it is less sensitive to the measurement errors, ie more accurate solutions are obtained.

原文English
頁(從 - 到)943-965
頁數23
期刊International Journal for Numerical Methods in Engineering
42
發行號5
DOIs
出版狀態Published - 1998 七月 15

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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