N. E. Stepin, V. A. Levin, K. M. Zingerman, A. V. Vershinin, “Comparative analysis of various Uzawa algorithm's implementations in problems of elasticity for incompressible materials”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2012, Issue 3,Pages <nobr>29

Numerical Calculations Models for Physical-Mechanical Systems

Comparative analysis of various Uzawa algorithm's implementations in problems of elasticity for incompressible materials

N. E. Stepin^a, V. A. Levin^a, K. M. Zingerman^b, A. V. Vershinin^a

^a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b Tver State University, Tver

Abstract: The comparison of different variants of the Uzawa algorithm is performed for the solution of large systems of linear algebraic equations that arises when the problems of elasticity are solved for incompressible materials using the finite-element method.

Keywords: theory of elasticity, incompressible materials, finite-element method, Uzawa algorithm, iteration methods for systems of linear algebraic equations.

UDC: 519.6, 539.3

Received: 05.09.2012
Revised: 07.09.2012