×

Implicit parallel processing in structural mechanics. (English) Zbl 0805.73062

Focusing on finite element implicit computations, we discuss in great detail parallel skyline solvers, primal substructuring algorithms, and the dual substructuring method also known as the finite element method of tearing and interconnecting. We highlight the concept of numerical scalability for domain decomposition based iterative solvers, the effect and parallel implementation of their coarse grid solvers, and discuss their extension to systems with multiple right-hand sides. We also address the topic of mesh partitioning and the message passing paradigm.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
74K99 Thin bodies, structures
65Y05 Parallel numerical computation
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
PDFBibTeX XMLCite