Assembly of multiscale linear PDE operators
Numerical Analysis
2019-12-20 v1 Mathematical Software
Numerical Analysis
Abstract
In numerous applications the mathematical model consists of different processes coupled across a lower dimensional manifold. Due to the multiscale coupling, finite element discretization of such models presents a challenge. Assuming that only singlescale finite element forms can be assembled we present here a simple algorithm for representing multiscale models as linear operators suitable for Krylov methods. Flexibility of the approach is demonstrated by numerical examples with coupling across dimensionality gap 1 and 2. Preconditioners for several of the problems are discussed.
Keywords
Cite
@article{arxiv.1912.09319,
title = {Assembly of multiscale linear PDE operators},
author = {Miroslav Kuchta},
journal= {arXiv preprint arXiv:1912.09319},
year = {2019}
}