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Verification of functional a posteriori error estimates for an obstacle problem

Result description

We verify functional a posteriori error estimate proposed by S. Repin for an obstacle problem. A new benchmark with known analytical solution in 2D is constructed. Numerical approximation is obtained by the finite element method using bilinear elements on a rectangular mesh. Error of the approximation is measured in the energy norm and bounded from above by a functional majorant. Numerical tests provide sharp quality of the studied error estimate.

Keywords

Raviart-Thomas elementsobstacle problemfunctional majorantfinite element methoda posteriori error estimate

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Verification of functional a posteriori error estimates for an obstacle problem

  • Original language description

    We verify functional a posteriori error estimate proposed by S. Repin for an obstacle problem. A new benchmark with known analytical solution in 2D is constructed. Numerical approximation is obtained by the finite element method using bilinear elements on a rectangular mesh. Error of the approximation is measured in the energy norm and bounded from above by a functional majorant. Numerical tests provide sharp quality of the studied error estimate.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014)

  • ISBN

    978-0-7354-1287-3

  • ISSN

    0094-243X

  • e-ISSN

  • Number of pages

    4

  • Pages from-to

    "850042-1?850042"-"1?850042-4"

  • Publisher name

    American Institute of Physics Inc.

  • Place of publication

    Spojené státy

  • Event location

    Rhodes, GREECE

  • Event date

    Aug 22, 2014

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article