Explicit error estimates in a method of moments for recovering boundary data Online publication date: Thu, 29-Jul-2021
by Boujemâa Achchab; Abdeljalil Sakat; Ali Souissi
International Journal of Mathematical Modelling and Numerical Optimisation (IJMMNO), Vol. 11, No. 3, 2021
Abstract: We consider a data completion method for the Cauchy problem of Laplace equation, that is known as a highly ill-posed problem. For an approximate solution given by any one of algorithms of the data completion methods, we give the moment of the error between the true solution and the approximate one, which allows us to find an a posteriori explicit error estimation. This error indicator is used to improve the approximate solution, to give a knowledge of stability and can be used as a stopping criterion. Eventually, numerical experiments are provided.
Online publication date: Thu, 29-Jul-2021
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