Chapter

Intelligent Computer Techniques in Applied Electromagnetics

Volume 119 of the series Studies in Computational Intelligence pp 73-82

The Use of L-Curve and U-Curve in Inverse Electromagnetic Modelling

  • Dorota Krawczyk-StańdoAffiliated withCenter of Mathematics and Physics, Technical University of Lodz
  • , Marek RudnickiAffiliated withInstitute of Computer Science, Technical University of Lodz

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Abstract

Regularization methods are used for computing stable solutions to the ill-posed problems. The well-known form of regularization is that of Tikhonov in which the regularized solution is searched as a minimize of the weighted combination of the residual norm and a side constraint-controlled by the regularization parameter. For the practical choice of regularization parameter α we can use the well-known L-curve criterion, or introduced by us U-curve criterion. The efficiency of the approach is demonstrated on examples of synthesis of magnetic field. The paper is finished with the comparison of the two mentioned above methods made on numerical examples.