On the parallel implementation of a hybrid-mixed stress formulation. (1st October 2015) - Vicente da Silva, M.
Highlights: A hybrid-mixed finite element model for the analysis of 3D structures is presented. Independent approximation of stress, strain and displacement fields. Legendre polynomials are used to define the approximation bases. Use of effective p -refinement procedures. Use of distinct approaches for the parallel solution of the global governing system. Abstract: This paper reports the parallel implementation of a hybrid-mixed stress finite element model for the analysis of three-dimensional structures. The stress and the displacement fields in the domain and the displacement fields on the static boundary are independently approximated. All field equations are imposed in a weighted residual form and Legendre polynomials are used to define the approximation bases. The parallel implementation of the model uses a message passing scheme based on the MPI standard. For the parallel solution of the governing system, two distinct approaches are tested. The first corresponds to the use of a third-party parallel direct solver code, named MUMPS. The second uses an in-house developed hybrid solver inspired by the FETI method and designed to deal with the typical pattern of the hybrid-mixed stress model governing system. Some numerical examples are discussed to illustrate the effectiveness and performance of the adopted parallel approach.