Multilevel preconditioning of 3D pure displacement elasticity problems

Dr. Ivan Georgiev

June 16, 2009, 3:30 p.m. K 034D

In this talk we demonstrate how some different techniques can be integrated and extended in the construction of efficient algebraic multilevel iteration methods for more complex problems. We devise an optimal order algorithm for solving linear systems obtained from locking-free discretization of 3D pure displacement elasticity problems. The presented numerical results illustrates the robustness of the method for nearly incompressible materials. Some applications will be presented and discussed.