C. Mardare, 2-DIMENSIONAL MODELS OF LINEARLY ELASTIC SHELLS - ERROR-ESTIMATES BETWEEN THEIR SOLUTIONS, Mathematics and mechanics of solids, 3(3), 1998, pp. 303-318
The author considers a family of linearly elastic shells, all having t
he same middle surface that is assumed to be elliptic. Under some regu
larity assumptions on the data, the author gives an error estimate bet
ween the solution of Koiter's model and the solution of a two-dimensio
nal membrane shell problem. The proof uses a corrector method.