Publications in Scientific Journals:
M. Schöbinger, J. Schöberl, K. Hollaus:
"An Equilibrated Error Estimator for the Multiscale Finite Element Method of a 2-D Eddy Current Problem";
IEEE Transactions on Magnetics,
57
(2021),
6;
4 pages.
English abstract:
The multiscale finite element method (MSFEM) is a valuable tool to solve the eddy current problem in laminated materials consisting of many iron sheets, which would be prohibitively expensive to resolve in a finite element mesh. It allows using a coarse mesh that does not resolve each sheet and constructs the local fields using predefined micro-shape functions. This article presents for the first time an a posteriori error estimator for the MSFEM, which considers the error with respect to the exact solution. It is based on flux equilibration and a modification of the theorem of Prager and Synge and provides an upper bound for the error that does not include generic constants. Numerical examples show a good performance in both linear and nonlinear cases.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1109/TMAG.2021.3065732
Created from the Publication Database of the Vienna University of Technology.