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Regularization algorithm within two parameters for the identification of the heat conduction coefficient in the parabolic equation

Authors
Journal
Mathematical and Computer Modelling
0895-7177
Publisher
Elsevier
Volume
57
Identifiers
DOI: 10.1016/j.mcm.2012.02.002
Keywords
  • Inverse Problems
  • Regularization Methods
  • Parabolic Equations
  • Ill-Posed Problems
  • Coefficient Identification
  • Adjoint Problems
  • Sensitivity Equations
Disciplines
  • Computer Science

Abstract

Abstract Our approach is based in a new and promising regularization algorithm with an approximation process by a minimization of especial functional that depends on two regularization parameters for the identification of the nonlinear heat conduction coefficient in the parabolic equation. This algorithm uses the adjoint and sensibility equations. One of the regularization parameters is associated with the heat-coefficient as in conventional Tikhonov algorithms but the other is associated with the calculated solution. Numerical examples are presented to show how the method works.

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