Neumann's method for thin elastic shells
Russia, 443001, Samara, 194 Molodogvardeyskaya Str.1 pp. (accepted)
This workr studies possibilities to use Neumann's method to solve boundary problems of elastic thin shells. Variational statement of statical problems for shells allows examining the problems within the space of distributions. Convergence of the Neumann's method is proved for the shells with holes when the boundary of the domain is not completely fixed. Numerical implementation of the Neumann's method normally takes a lot of time before some reliable results can be achieved. We suggest a way to improve convergence of the process and allows for parallel computing and checkout procedure during calculations.