A numerical computation for inverse boundary determination problem

Based on the idea of radial basis interpolation for Hermite-Birkhoff data a nd the shift invariability of harmonic function space, a new computational method is developed to determine an unknown boundary of a domain from given values of the solution and its derivatives on only a part of the other bou ndary. This is a well-known inverse boundary determination problem that ari ses from using non-destructive evaluation techniques in the engineering ind ustry. Error estimation of the computational method is also given and the n umerical results indicate that the method provides an accurate approximatio n of the unknown boundary. (C) 2000 Elsevier Science Ltd. All rights reserv ed.