A Herglotz wavefunction method for solving the inverse Cauchy problem connected with the Helmholtz equation

• Autores: Deyue Zhang, Fuming Ma, Enxi Zheng
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 237, Nº 1, 2013, págs. 215-222
• Idioma: inglés
• DOI: 10.1016/j.cam.2012.07.026
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• Resumen

  • This paper is concerned with the Cauchy problem connected with the Helmholtz equation.

    On the basis of the denseness of Herglotz wavefunctions, we propose a numerical method for obtaining an approximate solution to the problem. We analyze the convergence and stability with a suitable choice of regularization method. Numerical experiments are also presented to show the effectiveness of our method.