We consider the finite element approximation of the identification problem, where one wishes to identify a curve along which a given solution of the boundary value problem possesses some specific property. We prove the convergence of FE-approximation and give some results of numerical tests.
@article{104474, author = {Jaroslav Haslinger and V\'aclav Hor\'ak and Pekka Neittaanm\"aki and Kimmo Salmenjoki}, title = {Identification of critical curves. II. Discretization and numerical realization}, journal = {Applications of Mathematics}, volume = {36}, year = {1991}, pages = {380-391}, zbl = {0742.49003}, mrnumber = {1125639}, language = {en}, url = {http://dml.mathdoc.fr/item/104474} }
Haslinger, Jaroslav; Horák, Václav; Neittaanmäki, Pekka; Salmenjoki, Kimmo. Identification of critical curves. II. Discretization and numerical realization. Applications of Mathematics, Tome 36 (1991) pp. 380-391. http://gdmltest.u-ga.fr/item/104474/
Identification of critical curves. Part I: Continuous case, Apl. Mat. 35 (1990), 169-177. (1990) | MR 1052737