Abstract
This paper concerns Poisson equation in a polyhedral domain with corners and edges. We apply the least-squares finite element method to the reformulated first-order system of Poisson equation. To overcome the difficulties from boundary singularities, a weighted-norm technique is used to define the least-squares functional. The method prevents the loss of global accuracy. Numerical simulations are given to demonstrate the theoretical estimates.
| Original language | English |
|---|---|
| Pages (from-to) | 35-49 |
| Number of pages | 15 |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 299 |
| DOIs | |
| Publication status | Published - 2016 Jun |
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All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics
Cite this
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Weighted norm least squares finite element method for Poisson equation in a polyhedral domain. / Jeong, Seong Hee; Lee, Eunjung.
In: Journal of Computational and Applied Mathematics, Vol. 299, 06.2016, p. 35-49.Research output: Contribution to journal › Article
TY - JOUR
T1 - Weighted norm least squares finite element method for Poisson equation in a polyhedral domain
AU - Jeong, Seong Hee
AU - Lee, Eunjung
PY - 2016/6
Y1 - 2016/6
N2 - This paper concerns Poisson equation in a polyhedral domain with corners and edges. We apply the least-squares finite element method to the reformulated first-order system of Poisson equation. To overcome the difficulties from boundary singularities, a weighted-norm technique is used to define the least-squares functional. The method prevents the loss of global accuracy. Numerical simulations are given to demonstrate the theoretical estimates.
AB - This paper concerns Poisson equation in a polyhedral domain with corners and edges. We apply the least-squares finite element method to the reformulated first-order system of Poisson equation. To overcome the difficulties from boundary singularities, a weighted-norm technique is used to define the least-squares functional. The method prevents the loss of global accuracy. Numerical simulations are given to demonstrate the theoretical estimates.
UR - http://www.scopus.com/inward/record.url?scp=84961333680&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84961333680&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2015.10.011
DO - 10.1016/j.cam.2015.10.011
M3 - Article
AN - SCOPUS:84961333680
VL - 299
SP - 35
EP - 49
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
SN - 0377-0427
ER -