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- W1999144524 abstract "This brief note presents a simple, global, complementary variational principle for a broad class of general functions. That is, we show that a point ~ which minimizes a certain type of functional / over a set S also maximizes a computable functional /* over a set S* and satisfies/(~) =/*(*$); this fact can be used to provide error bounds for an approximate minimizer u of/. Complementary principles have been studied rather thoroughly for differential equations [5, 6, references therein~ and general operator extensions of the differential equation problem [7~, although primarily local principles from a somewhat different viewpoint are obtained. A global principle has been presented in [2, 91 for nonlinear boundary value problems of variational type in order to obtain variational error bounds; this present note extends those results to more general functionals." @default.
- W1999144524 created "2016-06-24" @default.
- W1999144524 creator A5051242830 @default.
- W1999144524 date "1970-02-01" @default.
- W1999144524 modified "2023-09-23" @default.
- W1999144524 title "A simple, global, complementary variational principle" @default.
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- W1999144524 doi "https://doi.org/10.1007/bf02162406" @default.
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