First order least-squares formulations for eigenvalue problems

Fleurianne Bertrand; Daniele Boffi

First order least-squares formulations for eigenvalue problems

Fleurianne Bertrand
, Daniele Boffi

Research output: Working paper

38 Downloads (Pure)

Abstract

In this paper we discuss spectral properties of operators associated with the least-squares finite element approximation of elliptic partial differential equations. The convergence of the discrete eigenvalues and eigenfunctions towards the corresponding continuous eigenmodes is studied and analyzed with the help of appropriate $L^2$ error estimates. A priori and a posteriori estimates are proved.

Original language	English
Place of Publication	Ithaca, NY
Publisher	ArXiv.org
Number of pages	20
Publication status	Published - 19 Feb 2020
Externally published	Yes

Keywords

math.NA
cs.NA

Access to Document

Bertrand2020firstFinal published version, 1.16 MB

First order least-squares formulations for eigenvalue problems
Bertrand, F. & Boffi, D., Apr 2022, In: IMA Journal of Numerical Analysis. 42, 2, p. 1339–1363 25 p.
Research output: Contribution to journal › Article › Academic › peer-review

Open Access
File
12 Link opens in a new tab Citations (Scopus)

224 Downloads (Pure)

Cite this

@techreport{632d70b877eb41b09a0ceaa03e38a29f,

title = "First order least-squares formulations for eigenvalue problems",

abstract = "In this paper we discuss spectral properties of operators associated with the least-squares finite element approximation of elliptic partial differential equations. The convergence of the discrete eigenvalues and eigenfunctions towards the corresponding continuous eigenmodes is studied and analyzed with the help of appropriate \$L\textasciicircum{}2\$ error estimates. A priori and a posteriori estimates are proved. ",

keywords = "math.NA, cs.NA",

author = "Fleurianne Bertrand and Daniele Boffi",

year = "2020",

month = feb,

day = "19",

language = "English",

publisher = "ArXiv.org",

type = "WorkingPaper",

institution = "ArXiv.org",

}

TY - UNPB

T1 - First order least-squares formulations for eigenvalue problems

AU - Bertrand, Fleurianne

AU - Boffi, Daniele

PY - 2020/2/19

Y1 - 2020/2/19

N2 - In this paper we discuss spectral properties of operators associated with the least-squares finite element approximation of elliptic partial differential equations. The convergence of the discrete eigenvalues and eigenfunctions towards the corresponding continuous eigenmodes is studied and analyzed with the help of appropriate $L^2$ error estimates. A priori and a posteriori estimates are proved.

AB - In this paper we discuss spectral properties of operators associated with the least-squares finite element approximation of elliptic partial differential equations. The convergence of the discrete eigenvalues and eigenfunctions towards the corresponding continuous eigenmodes is studied and analyzed with the help of appropriate $L^2$ error estimates. A priori and a posteriori estimates are proved.

KW - math.NA

KW - cs.NA

M3 - Working paper

BT - First order least-squares formulations for eigenvalue problems

PB - ArXiv.org

CY - Ithaca, NY

ER -

First order least-squares formulations for eigenvalue problems

Abstract

Keywords

Access to Document

Fingerprint

Research output

First order least-squares formulations for eigenvalue problems

Cite this