Publication:

Two-sided a posteriori error estimates for mixed formulations of elliptic problems

Date

Date

Date
2007
Journal Article
Published version

Citations

Citation copied

Repin, S., Sauter, S., & Smolianski, A. (2007). Two-sided a posteriori error estimates for mixed formulations of elliptic problems. SIAM Journal on Numerical Analysis, 45(3), 928–945. https://doi.org/10.1137/050641533

Abstract

Abstract

Abstract

The present work is devoted to the a posteriori error estimation for mixed approximations of linear self-adjoint elliptic problems. New guaranteed upper and lower bounds for the error measured in the natural product norm are derived, and individual sharp upper bounds are obtained for approximation errors in each of the physical variables. All estimates are reliable and valid for any approximate solution from the class of admissible functions. The estimates contain only global constants depending solely on the domain geometry and the g

Additional indexing

Creators (Authors)

  • Repin, S
    affiliation.icon.alt
  • Sauter, S
    affiliation.icon.alt
  • Smolianski, A
    affiliation.icon.alt

Journal/Series Title

Journal/Series Title

Journal/Series Title

Volume

Volume

Volume
45

Number

Number

Number
3

Page Range

Page Range

Page Range
928

Page end

Page end

Page end
945

Item Type

Item Type

Item Type
Journal Article

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Keywords

a posteriori estimate, two-sided bounds, mixed approximation, elliptic problem

Language

Language

Language
English

Publication date

Publication date

Publication date
2007

Date available

Date available

Date available
2009-11-02

ISSN or e-ISSN

ISSN or e-ISSN

ISSN or e-ISSN
0036-1429

Additional Information

Additional Information

Additional Information
Copyright © 2007, Society for Industrial and Applied Mathematics

OA Status

OA Status

OA Status
Green

Citations

Citation copied

Repin, S., Sauter, S., & Smolianski, A. (2007). Two-sided a posteriori error estimates for mixed formulations of elliptic problems. SIAM Journal on Numerical Analysis, 45(3), 928–945. https://doi.org/10.1137/050641533

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