English

Algebraic Multiscale Method for one--dimensional elliptic problems

Numerical Analysis 2022-01-27 v1 Numerical Analysis

Abstract

In this paper we propose an idea of constructing a macro--scale matrix system given a micro--scale matrix linear system. Then the macro--scale system is solved at cheaper computing costs. The method uses the idea of the generalized multiscale finite element method based. Some numerical results are presented.

Keywords

Cite

@article{arxiv.2201.10645,
  title  = {Algebraic Multiscale Method for one--dimensional elliptic problems},
  author = {Kanghun Cho and Roktaek Lim and Dongwoo Sheen},
  journal= {arXiv preprint arXiv:2201.10645},
  year   = {2022}
}