More numerical experiments on linear and nonlinear elasticity problems

This presentation describes the contribution of the group at KUN to Work-packages 2 and 3 in the following directions: (1) study of the properties and the behavior of variable versus fixed preconditioners, based on the so-called separate displacement component (SDC) formulation of the linear elasticity problem; (2) solution of problems with nearly incompressible material properties, based on a saddle point formulation of the linear elasticity problem; (3) solution of nonlinear elasticity problems using the already developed linear solvers. We present further tests of the performance of the linear solvers on the benchmarks formulated by MOST and GEAM. Also, we report the performance of a robust algebraic multilevel solution technique on irregular locally refined meshes. Finally, we report the theoretical and implementation work done to develop a solver which provides a uniform approach to solve elasticity problems with compressible and almost incompressible materials.