Algorithm of evaluation of convergence of solution in finite-elemetal problems

Аuthors

Bakulin V. N.^*, Inflianskas V. V.^**

Institute of Applied Mechanics of Russian Academy of Science, IAM RAS, 32a, Leninskii av., Moscow, В-334, GSP-1, 119991, Russia

*e-mail: vbak@yandex.ru
**e-mail: vinf@mail.ru

Abstract

We have considered two basic cases of the convergence of solution infinite element problems. An algorithm has been given to evaluate point-by-point convergence of solution for local finite element mesh refinement. To illustrate the method the results of cylindrical three-layered composite shell computation under the action of local load have been presented. For stresses reaching maximal value in loaded area, we have determined parameters of mesh density producing converge solution.

Keywords:

finite element method, numerical solutions, evaluation of the convergence, mechanical problems of layer-built shells, finite element mesh