Detail publikace

Verification of Functional A Posteriori Error Estimates for Obstacle Problem in 1D

HARASIM, P. VALDMAN, J.

Originální název

Verification of Functional A Posteriori Error Estimates for Obstacle Problem in 1D

Typ

článek v časopise - ostatní, Jost

Jazyk

angličtina

Originální abstrakt

We verify functional a posteriori error estimate for obstacle problem proposed by Repin. Simplification into 1D allows for the construction of a nonlinear benchmark for which an exact solution of the obstacle problem can be derived. Quality of a numerical approximation obtained by the finite element method is compared with the exact solution and the error of approximation is bounded from above by a majorant error estimate. The sharpness of the majorant error estimate is discussed.

Klíčová slova

obstacle problem, a posteriori error estimate, functional majorant, finite element method, variational inequalities, Uzawa algorithm

Autoři

HARASIM, P.; VALDMAN, J.

Rok RIV

2013

Vydáno

20. 11. 2013

ISSN

0023-5954

Periodikum

Kybernetika

Ročník

2013(49)

Číslo

5

Stát

Česká republika

Strany od

738

Strany do

754

Strany počet

17

BibTex

@article{BUT103637,
  author="Petr {Harasim} and Jan {Valdman}",
  title="Verification of Functional A Posteriori Error Estimates for Obstacle Problem in 1D",
  journal="Kybernetika",
  year="2013",
  volume="2013(49)",
  number="5",
  pages="738--754",
  issn="0023-5954"
}