Verification of functional a posteriori error estimates for obstacle problem in 1D

Title:

Verification of functional a posteriori error estimates for obstacle problem in 1D

Creator:

Harasim, Petr and Valdman, Jan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:7d4c9417-a9a6-43f7-95e6-eb854aeb8728
uuid:7d4c9417-a9a6-43f7-95e6-eb854aeb8728

Subject:

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

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[738]-754

Source:

Kybernetika | 2013 Volume:49 | Number:5

Harvested from:

CDK

Metadata only:

false