Approximate solution of a Cauchy problem for the Helmholtz equation. (English) Zbl 1099.35160

Regińska, Teresa; Regiński, Kazimierz

Inverse Probl. 22, No. 3, 975-989 (2006).

MSC:

35R25	Ill-posed problems for PDEs
35J25	Boundary value problems for second-order elliptic equations
35Q60	PDEs in connection with optics and electromagnetic theory
35J05	Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35A35	Theoretical approximation in context of PDEs
65M70	Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
78A25	Electromagnetic theory (general)

Keywords:

Cauchy problem; Helmholtz equation; regularization; convergence; stability