A Robust Hybrid Algorithm for Computing Multiple Equilibrium Solutions
Watson, Layne T.
Kamat, Manohar P.
Reaser, Michael H.
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This paper describes a hybrid method that seeks to combine the efficiency of a quasi-Newton method capable of locating stable and unstable equilibrium configurations with a robust homotopy method that is capable of tracking equilibrium paths with turning points while exploiting symmetry and sparsity of the Jacobian matrices. Numerical results are presented for a shallow arch problem.