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
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
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
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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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
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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
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Basic information
Result type
D - Article in proceedings
CEP
BA - General mathematics
Year of implementation
2015