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Currently displaying 1 – 2 of 2

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Uniformly convergent adaptive methods for a class of parametric operator equations

Claude Jeffrey Gittelson — 2012

ESAIM: Mathematical Modelling and Numerical Analysis

We derive and analyze adaptive solvers for boundary value problems in which the differential operator depends affinely on a sequence of parameters. These methods converge uniformly in the parameters and provide an upper bound for the maximal error. Numerical computations indicate that they are more efficient than similar methods that control the error in a mean square sense.

Uniformly convergent adaptive methods for a class of parametric operator equations

Claude Jeffrey Gittelson — 2012

ESAIM: Mathematical Modelling and Numerical Analysis

We derive and analyze adaptive solvers for boundary value problems in which the differential operator depends affinely on a sequence of parameters. These methods converge uniformly in the parameters and provide an upper bound for the maximal error. Numerical computations indicate that they are more efficient than similar methods that control the error in a mean square sense.

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