An Efficient and Stable Method for Computing Multiple Saddle Points with Symmetries

DOI10.1137/S0036142903416626zbMath1092.65114MaRDI QIDQ5700298

Zhi-Qiang Wang, Jian Xin Zhou

Publication date: 28 October 2005

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

symmetryinvariancenumerical examplesMorse indexmultiple saddle pointssemilinear PDElocal minimax method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods applied to PDEs (35A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational principles in infinite-dimensional spaces (58E30)

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