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Uniformly convergent adaptive methods for parametric operator equations

by C. J. Gittelson

(Report number 2011-19)

Abstract
We derive and analyze adaptive solvers for parametric boundary value problems. These methods control the error uniformly in the parameters. Numerical computations indicate that they are more efficient than similar methods that control the error in a mean square sense.

Keywords:

@Techreport{G11_120,
  author = {C. J. Gittelson},
  title = {Uniformly convergent adaptive methods for parametric operator equations},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2011-19},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2011/2011-19.pdf },
  year = {2011}
}

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