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Uniformly convergent adaptive methods for a class of parametric operator equations∗
Published online by Cambridge University Press: 13 June 2012
Abstract
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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- Type
- Research Article
- Information
- ESAIM: Mathematical Modelling and Numerical Analysis , Volume 46 , Issue 6 , November 2012 , pp. 1485 - 1508
- Copyright
- © EDP Sciences, SMAI, 2012
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