A quadratically convergent procedure for the calculation of stability points in finite element analysis
A new finite element formulation is given for the analysis of nonlinear stability problems. The introduction of extended systems opens the possibility to compute limit and bifurcation points directly. Here, the use of the directional derivative yields a quadratically convergent iteration scheme. The combination with arc-length and branch-switching procedures leads to a global algorithm for path-following.
quadratically convergent iteration scheme
scientific article; zbMATH DE number 4066472
scientific article