New nonlinear FETI-DP methods based on a partial nonlinear elimination of variables
Klawonn, A. and Lanser, M. and Rheinbach, O. and Uran, M.
LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING
Volume: 116 Pages: 207-215
We introduce two new nonlinear FETI-DP (Finite Element Tearing and Interconnecting-Dual-Primal) methods based on a partial nonlinear elimination of variables and provide a comparison to Newton-Krylov-FETI-DP, Nonlinear-FETI-DP-1, and Nonlinear-FETI-DP-2, which have already been described earlier. In contrast to classical Newton-Krylov-FETI-DP methods, where a geometrical decomposition after a Newton linearization is performed, in nonlinear FETI-DP methods, the discretized nonlinear problem is decomposed before linearization. The approaches helps to localize work and reduce communication and thus are better suited for modern computer architectures. © Springer International Publishing AG 2017.