Spectral mimetic least-squares method for div-curl systems

Marc Gerritsma; Artur Palha

doi:10.1007/978-3-319-73441-5_10

Spectral mimetic least-squares method for div-curl systems

Marc Gerritsma, Artur Palha

Control Systems Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

1 Citation (Scopus)

Abstract

In this paper the spectral mimetic least-squares method is applied to a two-dimensional div-curl system. A test problem is solved on orthogonal and curvilinear meshes and both h- and p-convergence results are presented. The resulting solutions will be pointwise divergence-free for these test problems. For N> 1 optimal convergence rates on an orthogonal and a curvilinear mesh are observed. For N= 1 the method does not converge.

Original language	English
Title of host publication	Large-Scale Scientific Computing - 11th International Conference, LSSC 2017, Revised Selected Papers
Editors	I. Lirkov, S. Margenov
Place of Publication	Berlin
Publisher	Springer
Pages	103-110
Number of pages	8
ISBN (Print)	9783319734408
DOIs	https://doi.org/10.1007/978-3-319-73441-5_10
Publication status	Published - 2018
Event	11th International Conference on Large-Scale Scientific Computations, (LSSC 2017) - Sozopol, Bulgaria Duration: 5 Jun 2017 → 9 Jun 2017 Conference number: 11 http://parallel.bas.bg/Conferences/SciCom17/

Publication series

Name	Lecture Notes in Computer Science
Volume	10665
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	11th International Conference on Large-Scale Scientific Computations, (LSSC 2017)
Abbreviated title	LSSC 2017
Country/Territory	Bulgaria
City	Sozopol
Period	5/06/17 → 9/06/17
Internet address	http://parallel.bas.bg/Conferences/SciCom17/

Keywords

Div-curl system
Mimetic methods
Spectral element method

Access to Document

10.1007/978-3-319-73441-5_10

Cite this

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title = "Spectral mimetic least-squares method for div-curl systems",

abstract = "In this paper the spectral mimetic least-squares method is applied to a two-dimensional div-curl system. A test problem is solved on orthogonal and curvilinear meshes and both h- and p-convergence results are presented. The resulting solutions will be pointwise divergence-free for these test problems. For N> 1 optimal convergence rates on an orthogonal and a curvilinear mesh are observed. For N= 1 the method does not converge.",

keywords = "Div-curl system, Mimetic methods, Spectral element method",

author = "Marc Gerritsma and Artur Palha",

year = "2018",

doi = "10.1007/978-3-319-73441-5_10",

language = "English",

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series = "Lecture Notes in Computer Science",

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booktitle = "Large-Scale Scientific Computing - 11th International Conference, LSSC 2017, Revised Selected Papers",

address = "Germany",

note = "11th International Conference on Large-Scale Scientific Computations, (LSSC 2017), LSSC 2017 ; Conference date: 05-06-2017 Through 09-06-2017",

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}

Gerritsma, M & Palha, A 2018, Spectral mimetic least-squares method for div-curl systems. in I Lirkov & S Margenov (eds), Large-Scale Scientific Computing - 11th International Conference, LSSC 2017, Revised Selected Papers. Lecture Notes in Computer Science, vol. 10665, Springer, Berlin, pp. 103-110, 11th International Conference on Large-Scale Scientific Computations, (LSSC 2017), Sozopol, Bulgaria, 5/06/17. https://doi.org/10.1007/978-3-319-73441-5_10

Spectral mimetic least-squares method for div-curl systems. / Gerritsma, Marc; Palha, Artur.

Large-Scale Scientific Computing - 11th International Conference, LSSC 2017, Revised Selected Papers. ed. / I. Lirkov; S. Margenov. Berlin : Springer, 2018. p. 103-110 (Lecture Notes in Computer Science; Vol. 10665).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AU - Palha, Artur

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PY - 2018

Y1 - 2018

N2 - In this paper the spectral mimetic least-squares method is applied to a two-dimensional div-curl system. A test problem is solved on orthogonal and curvilinear meshes and both h- and p-convergence results are presented. The resulting solutions will be pointwise divergence-free for these test problems. For N> 1 optimal convergence rates on an orthogonal and a curvilinear mesh are observed. For N= 1 the method does not converge.

AB - In this paper the spectral mimetic least-squares method is applied to a two-dimensional div-curl system. A test problem is solved on orthogonal and curvilinear meshes and both h- and p-convergence results are presented. The resulting solutions will be pointwise divergence-free for these test problems. For N> 1 optimal convergence rates on an orthogonal and a curvilinear mesh are observed. For N= 1 the method does not converge.

KW - Div-curl system

KW - Mimetic methods

KW - Spectral element method

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DO - 10.1007/978-3-319-73441-5_10

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BT - Large-Scale Scientific Computing - 11th International Conference, LSSC 2017, Revised Selected Papers

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CY - Berlin

T2 - 11th International Conference on Large-Scale Scientific Computations, (LSSC 2017)

Y2 - 5 June 2017 through 9 June 2017

ER -

Spectral mimetic least-squares method for div-curl systems

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