A Posteriori Finite Element Bounds for Sensitivity Derivatives of Partial–differential–equation Outputs
نویسندگان
چکیده
We present a Neumann-subproblem a posteriori finite element procedure for the efficient and accurate calculation of rigorous, “constant–free” upper and lower bounds for sensitivity derivatives of functionals of the solutions of partial differential equations. The design motivation for sensitivity derivative error control is discussed; the a posteriori finite element procedure is described; the asymptotic bounding properties and computational complexity of the method are summarized; and illustrative numerical results are presented.
منابع مشابه
A posteriori "nite element bounds for sensitivity derivatives of partial-di!erential-equation outputs
We present a Neumann-subproblem a posteriori "nite element procedure for the e$cient and accurate calculation of rigorous, `constant-freea upper and lower bounds for sensitivity derivatives of functionals of the solutions of partial di!erential equations. The design motivation for sensitivity derivative error control is discussed; the a posteriori "nite element procedure is described; the asymp...
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