Talks and Poster Presentations (with Proceedings-Entry):
M. Schöbinger, K. Hollaus, J. Schöberl:
"A Residual Error Estimator for MSFEM in 2 D";
Talk: MSHOM 2016 Advances in Multiscale Methods and Homogenization for Laminates and Windings in Magnetic Fields,
- 2016-09-23; in: "Workshop MSHOM 2016",
K. Hollaus (ed.);
An a posteriori error estimator for a 2D multiscale method for elliptic problems on layered domains is developed. The estimator is baed on flux reconstruction techniques, also known as the hypercircle method or equilibration. The main idea is to use classical reconstrution techniques for the mean value function and adding terms corresponding to the fine structure afterward. Finding efficient correctors which give an accurate result elleiptic model equation.
The second challenge is the efficient evaluation of the error estimator, which requires integration over the fine structured domain. In order to overcome this problem, a modification of approximate integration techniques dating back to Filon is developed and implemented.
Error Estimator, Multiscale, Flux Reconstruction
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.