Related Experiment Video
Updated: Mar 15, 2026

Author Spotlight: Advancing Understanding of Age-Related Lens Stiffness Changes
Published on: April 5, 2024
Comparative analysis of different variants of the Uzawa algorithm in problems of the theory of elasticity for
Nikita E Styopin1, Anatoly V Vershinin2, Konstantin M Zingerman3
1FIDESYS Limited, Scientific Park, Lomonosov Moscow State University, Moscow 119991, Russian Federation.
Abstract:
Different variants of the Uzawa algorithm are compared with one another. The comparison is performed for the case in which this algorithm is applied to large-scale systems of linear algebraic equations. These systems arise in the finite-element solution of the problems of elasticity theory for incompressible materials. A modification of the Uzawa algorithm is proposed. Computational experiments show that this modification improves the convergence of the Uzawa algorithm for the problems of solid mechanics. The results of computational experiments show that each variant of the Uzawa algorithm considered has its advantages and disadvantages and may be convenient in one case or another.
Related Concept Videos
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
Bending of Members Made of Several Materials
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each material's...
Hooke's Law
Generalized Hooke's Law
Castigliano's Theorem
Dynamic Modulus of Elasticity of Concrete
The sonic test is a common method to determine the dynamic modulus. In this test, a concrete beam, sized either 6 x 6 x 30 inches or 4 x 4 x 20 inches, is clamped at its center. Vibrations are initiated at one end of the beam by an electromagnetic exciter unit powered by a...

