Browsing by Author "Rheinboldt, WC"

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A posteriori finite element error estimators for parametrized nonlinear boundary value problems
(1996)
Liu, JL
;
Rheinboldt, WC
;
應用數學系
;
Department of Applied Mathematics
Aposteriori error estimators for finite element solutions of multi-parameter nonlinear partial differential equations are based on an element-by-element solution of local linearizations of the nonlinear equation. In general, the associated bilinear form of the linearized problems satisfies a Garding-type inequality. Under appropriate assumptions it is shown that the error estimators are bounded by constant multiples of the true error in a suitable norm. Computational experiments indicate that the estimators are effective, inexpensive, and insensitive to the choice of-the local coordinate system on the solution manifold.