# Uniformly convergent adaptive methods for a class of parametric operator equations∗

ESAIM: Mathematical Modelling and Numerical Analysis (2012)

- Volume: 46, Issue: 6, page 1485-1508
- ISSN: 0764-583X

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topGittelson, Claude Jeffrey. "Uniformly convergent adaptive methods for a class of parametric operator equations∗." ESAIM: Mathematical Modelling and Numerical Analysis 46.6 (2012): 1485-1508. <http://eudml.org/doc/276377>.

@article{Gittelson2012,

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.},

author = {Gittelson, Claude Jeffrey},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Parametric partial differential equations; partial differential equations with random coefficients; uniform convergence; adaptive methods; operator equations; parametric partial differential equations},

language = {eng},

month = {6},

number = {6},

pages = {1485-1508},

publisher = {EDP Sciences},

title = {Uniformly convergent adaptive methods for a class of parametric operator equations∗},

url = {http://eudml.org/doc/276377},

volume = {46},

year = {2012},

}

TY - JOUR

AU - Gittelson, Claude Jeffrey

TI - Uniformly convergent adaptive methods for a class of parametric operator equations∗

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2012/6//

PB - EDP Sciences

VL - 46

IS - 6

SP - 1485

EP - 1508

AB - 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.

LA - eng

KW - Parametric partial differential equations; partial differential equations with random coefficients; uniform convergence; adaptive methods; operator equations; parametric partial differential equations

UR - http://eudml.org/doc/276377

ER -

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