Analysis of High Performance Parallel Algorithms and Developable Environment for Nonlinear Mechanics of Static Structures

Based on object-oriented programming techniques, some high performance parallel algorithms of both SBS (Substructure by Substructure) method and EBE (Element by Element) method are analyzed for nonlinear finite element analysis, and the results are presented. Taking aim at the general design of the application framework of the finite element analysis solver, the applicability of both SBS method and EBE method in terms of practical application is studied. The results show that the canonical SBS method cannot achieve a high acceleration ratio when it comes to special structures and as large a solution scale as approximate one million degrees of freedom and the EBE method causes the margin of error changing a lot accompanying the significant augmentation of the solution scale. Furthermore, in stead of the conventional procedural finite element programming, the object-oriented programming method is applied to the finite element programming, and the concept Finite Element Foundation Class Library (FEFC) is presented in order to construct a developable environment which can ensure the effective use of the research results about the algorithms mentioned above. Based on this, an object-oriented finite element parallel application framework related with analysis solver is developed. Under this framework, parallel nonlinear finite element programming can be convenient. The encapsulation, inheritance and polymorphism in object-oriented methodology are embodied in.