1. Verification of functional a posteriori error estimates for obstacle problem in 1D
- Creator:
- Harasim, Petr and Valdman, Jan
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- obstacle problem, a posteriori error estimate, functional majorant, finite element method, variational inequalities, and Uzawa algorithm
- Language:
- English
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public