An Efficient Direct Method for Numerically Solving the Cauchy Problem for Laplace’s Equation

Author:

Sorokin S. B.

Publisher

Pleiades Publishing Ltd

Subject

Numerical Analysis

Reference15 articles.

1. Tikhonov, A.N. and Arsenin, V.Ya., Metody resheniya nekorrektnykh zadach (Solutions of Ill-Posed Problems),Moscow: Nauka, 1979.

2. Lavrentiev, M.M., On the Cauchy Problem for Laplace’s Equation, Izv. Akad. Nauk SSSR, 1956, vol. 20, no. 6, pp. 819–842.

3. Mukanova, B., Numerical Reconstruction of Unknown Boundary Data in the Cauchy Problem for Laplace’s Equation, Inv. Probl. Sci. Engin., 2012, vol. 21, iss. 8, pp. 1255–1267.

4. Mukanova, B., Maussumbekova, S., and Kulbay, M., Solving the Regularized Inverse Problem for Elliptic Equations in Cylindrical Coordinates: Analytical Formulas, J. Appl. Mech. Mater., 2015, vols. 799/800, pp. 693–697.

5. Kabanikhin, S.I., Bektemesov, M.A., Ayapbergenova, A.T., and Nechaev, D.V., Optimization Methods of Solving Continuation Problems, Comput. Technol., 2004, vol. 9, special iss, pp. 49–60.

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