Fast online generalized multiscale finite element method using constraint energy minimization

Tsz Shun Eric CHUNG Yalchin Efendiev Wing Tat Leung

Numerical Analysis and Scientific Computing mathscidoc:1910.43495

Journal of Computational Physics, 355, 450-463, 2018.2
Local multiscale methods often construct multiscale basis functions in the offline stage without taking into account input parameters, such as source terms, boundary conditions, and so on. These basis functions are then used in the online stage with a specific input parameter to solve the global problem at a reduced computational cost. Recently, online approaches have been introduced, where multiscale basis functions are adaptively constructed in some regions to reduce the error significantly. In multiscale methods, it is desired to have only 12 iterations to reduce the error to a desired threshold. Using Generalized Multiscale Finite Element Framework [10], it was shown that by choosing sufficient number of offline basis functions, the error reduction can be made independent of physical parameters, such as scales and contrast. In this paper, our goal is to improve this. Using our recently proposed approach [4] and
No keywords uploaded!
[ Download ] [ 2019-10-20 18:09:49 uploaded by Tsz_Shun_Eric_CHUNG ] [ 541 downloads ] [ 0 comments ]
@inproceedings{tsz2018fast,
  title={Fast online generalized multiscale finite element method using constraint energy minimization},
  author={Tsz Shun Eric CHUNG, Yalchin Efendiev, and Wing Tat Leung},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020180949940110024},
  booktitle={Journal of Computational Physics},
  volume={355},
  pages={450-463},
  year={2018},
}
Tsz Shun Eric CHUNG, Yalchin Efendiev, and Wing Tat Leung. Fast online generalized multiscale finite element method using constraint energy minimization. 2018. Vol. 355. In Journal of Computational Physics. pp.450-463. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020180949940110024.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved