Unique discrete harmonic continuation and data completion problems using the fading regularization method

Author:

Delvare FranckORCID,Cimetière Alain

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference31 articles.

1. Andrieux, S., Baranger, T.N., Ben Abda, A.: Solving Cauchy problems by minimizing an energy-like functional. Inverse Prob. 22, 115–133 (2006)

2. Bourgeois, L.: A mixed formulation of quasi-reversibility to solve the Cauchy problem for the Laplace equation. Inverse Prob. 21, 1087–1104 (2005)

3. CASTEM 2000: Code de calcul pour l’analyse de structures par la méthode des éléments finis. Guide d’utilisation. Commissariat l’Energie Atomique, DEN/DM2S/SEMT/LM2S, F-91191 Gif-sur-Yvette, France (1998)

4. Chen, K.H., Kao, J.H., Chen, J.T., Wu, K.L.: Desingularized meshless method for solving Laplace equation with over-specified boundary conditions using regularization techniques. Comput. Mech. 43, 827–837 (2009)

5. Cimetière, A., Delvare, F., Pons, F.: Une méthode inverse avec régularisation évanescente. Comptes Rendus de l’Académie des Sciences - Série IIb: Mécanique 328, 639–644 (2000)

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