On a quasi-reversibility regularization method for a Cauchy problem of the Helmholtz equation (Q2654204)

This paper is near in its problem, assumptions, regularization method and result to that of \textit{H.-H. Qin} and \textit{T. Wei} [Math. Comput. Simul. 80, No.~2, 352--366 (2009; Zbl 1185.65172)] who, however, considered the modified Helmholtz equation and also a second regularization method -- proving better in the numerical experiments. These authors obtain \(L_2\) convergence of the regularized solution choosing the regularization parameter in dependence on solution apriori bound and measurement error, but show no numerical results.