FE2TI (ex_nl/FE2) EXASTEEL - bridging scales for multiphase steels. FE2TI is a combination of the FE2 method with hybrid domain decomposition/multigrid solvers. The FE2 method is a computational micro-macro scale bridging approach directly incorporating micromechanics in macroscopic simulations. In this approach, a microscopic boundary value problem based on the definition of a representative volume element (RVE) is solved at each macroscopic Gauß integration point. Then, volumetric averages of microscopic stress distributions are returned to the macroscopic level, which replaces a phenomenological material law at the macro scale. The microscopic problems are thus coupled through the macroscopic problem. On the RVEs nonlinear implicit structural mechanics problems have to be solved. We are applying the FETI-DP (Finite Element Tearing and Interconnecting) method as a solver on the RVEs. Nonoverlapping domain decomposition methods of the FETI type are well established solution methods in implicit structural mechanics. A structural simulation using a FETI-DP algorithm was awarded an ACM Gordon Bell prize already in 2002 using 4000 processors of the then second fastest supercomputer of the world. Unfortunately, the classical FETI-DP method does not scale well beyond 10K processor cores. Inexact FETI-DP methods, have shown a much better parallel scalability, and scalability for 65K cores was shown during the 2008 JUGENE scaling workshop in Jülich. Recently, nonlinear FETI-DP and BDDC methods with improved concurrency were introduced. In these methods, the nonlinear problem is decomposed into concurrent subproblems before linearisation. This is opposed to standard Newton-Krylov approaches where the problem is first linearised and then decomposed.
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References in zbMATH (referenced in 6 articles )
Showing results 1 to 6 of 6.
- Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver; Uran, Matthias: Fully-coupled micro-macro finite element simulations of the Nakajima test using parallel computational homogenization (2021)
- Klawonn, Axel; Köhler, Stephan; Lanser, Martin; Rheinbach, Oliver: Computational homogenization with million-way parallelism using domain decomposition methods (2020)
- Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver; Uran, Matthias: New nonlinear FETI-DP methods based on a partial nonlinear elimination of variables (2017)
- Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver: A parallel implementation of a two-level overlapping Schwarz method with energy-minimizing coarse space based on trilinos (2016)
- Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver: A highly scalable implementation of inexact nonlinear FETI-DP without sparse direct solvers (2016)
- Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver: Toward extremely scalable nonlinear domain decomposition methods for elliptic partial differential equations (2015)