Verification of Functional A Posteriori Error Estimates for Obstacle Problem in 1D |
| |
| Authors: | Petr Harasim Jan Valdman |
| |
| Affiliation: | 1. Faculty of Civil Engineering, Brno University of Technology, Czech Republic;2. Centre of Excellence IT4Innovations, VSB-Technical University of Ostrava, Czech Republic |
| |
| Abstract: | We verify functional a posteriori error estimates of numerical solutions of a obstacle problem proposed by S. Repin. The simplification into 1D allows for the construction of a nonlinear benchmark for which an exact solution can be derived and also an exact quadrature can be applied. Quality of a numerical solution obtained by the finite element method is compared with the exact solution to demonstrate the sharpness of the studied error estimated. (© 2013 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
| |
| Keywords: | |
|
|
