Weighted norm least squares finite element method for Poisson equation in a polyhedral domain

Seong Hee Jeong; Eunjung Lee

doi:10.1016/j.cam.2015.10.011

Weighted norm least squares finite element method for Poisson equation in a polyhedral domain

Seong Hee Jeong, Eunjung Lee

Department of Computational Science and Engineering

Research output: Contribution to journal › Article › peer-review

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	https://doi.org/10.1016/j.cam.2015.10.011
Publication status	Published - 2016 Jun

Bibliographical note

Funding Information:
This work was supported by NRF grant 2015 R1A5A1009350 .

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

Access to Document

10.1016/j.cam.2015.10.011

Fingerprint Dive into the research topics of 'Weighted norm least squares finite element method for Poisson equation in a polyhedral domain'. Together they form a unique fingerprint.

Cite this

@article{190e4f3ef5314945b8de9d9face4a998,

title = "Weighted norm least squares finite element method for Poisson equation in a polyhedral domain",

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.",

author = "Jeong, {Seong Hee} and Eunjung Lee",

note = "Funding Information: This work was supported by NRF grant 2015 R1A5A1009350 . ",

year = "2016",

month = jun,

doi = "10.1016/j.cam.2015.10.011",

language = "English",

volume = "299",

pages = "35--49",

journal = "Journal of Computational and Applied Mathematics",

issn = "0377-0427",

publisher = "Elsevier",

}

TY - JOUR

T1 - Weighted norm least squares finite element method for Poisson equation in a polyhedral domain

AU - Jeong, Seong Hee

AU - Lee, Eunjung

N1 - Funding Information: This work was supported by NRF grant 2015 R1A5A1009350 .

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 -