Simultaneous Reduced Basis Approximation of Parameterized Elliptic Eigenvalue Problems
Numerical Analysis
2016-03-03 v2
Abstract
The focus is on a model reduction framework for parameterized elliptic eigenvalue problems by a reduced basis method. In contrast to the standard single output case, one is interested in approximating several outputs simultaneously, namely a certain number of the smallest eigenvalues. For a fast and reliable evaluation of these input-output relations, we analyze a posteriori error estimators for eigenvalues. Moreover, we present different greedy strategies and study systematically their performance. Special attention needs to be paid to multiple eigenvalues whose appearance is parameter-dependent. Our methods are of particular interest for applications in vibro-acoustics.
Cite
@article{arxiv.1506.09200,
title = {Simultaneous Reduced Basis Approximation of Parameterized Elliptic Eigenvalue Problems},
author = {Thomas Horger and Barbara Wohlmuth and Thomas Dickopf},
journal= {arXiv preprint arXiv:1506.09200},
year = {2016}
}