Continuation-Conjugate Gradient Methods for the Least Squares Solution of Nonlinear Boundary Value Problems
作者： R. Glowinski , H. B. Keller , L. Reinhart
DOI: 10.1137/0906055
关键词:
摘要: We discuss in this paper a new combination of methods for solving nonlinear boundary value problems containing parameter. Methods the continuation type are combined with least squares formulations, preconditioned conjugate gradient algorithms and finite element approximations.We can compute branches solutions limit points, bifurcation etc.Several numerical tests illustrate possibilities discussed present paper; these include Bratu problem one two dimensions, one-dimensional perturbed problems, driven cavity Navier–Stokes equations.
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