A robust hybrid algorithm for computing multiple equilibrium solutions
Layne T. Watson
(Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061, USA)
Manohar P. Kamat
(Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061, USA)
Michael H. Reaser
(Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061, USA)
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Abstract
A hybrid method is described 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.
Citation
Watson, L.T., Kamat, M.P. and Reaser, M.H. (1985), "A robust hybrid algorithm for computing multiple equilibrium solutions", Engineering Computations, Vol. 2 No. 1, pp. 30-34. https://doi.org/10.1108/eb023598
Publisher
:MCB UP Ltd
Copyright © 1985, MCB UP Limited