A Parallel Implementation of Dual‐Primal FETI Methods for Three‐Dimensional Linear Elasticity Using a Transformation of Basis

Abstract

Dual‐primal FETI methods for linear elasticity problems in three dimensions are considered. These are nonoverlapping domain decomposition methods where some primal continuity constraints across subdomain boundaries are required to hold throughout the iterations, whereas most of the constraints are enforced by Lagrange multipliers. An algorithmic framework for dual‐primal FETI methods is described together with a transformation of basis to implement the primal constraints. Numerical results obtained from a parallel implementation of these algorithms applied to a model benchmark problem with structured meshes and to problems with more complicated geometries from industrial and biological applications using unstructured meshes are provided. These results show that the presented dual‐primal FETI algorithms are numerical and parallel scalable.