A Mimetic Spectral Element Method for Non-Isotropic Diffusion Problems

B. Gervang; K. Olesen; M. Gerritsma

doi:10.1007/978-3-319-65870-4_15

A Mimetic Spectral Element Method for Non-Isotropic Diffusion Problems

B. Gervang^*, K. Olesen, M. Gerritsma

^*Corresponding author for this work

Aerodynamics

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

Abstract

We present a mimetic spectral element method for the solution of the stationary Darcy’s problem. We show that the divergence constraint is satisfied exactly for both heterogeneous, non-isotropic, and deformed mesh problems.

Original language	English
Title of host publication	Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference
Editors	M.L. Bittencourt, N.A. Dumont, J.S. Hesthaven
Publisher	Springer
Pages	229-242
Number of pages	14
Volume	119
ISBN (Print)	9783319658698
DOIs	https://doi.org/10.1007/978-3-319-65870-4_15
Publication status	Published - 2017
Event	ICOSAHOM 2016 - Rio de Janeiro, Brazil Duration: 27 Jun 2016 → 1 Jul 2016 Conference number: 11

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	119
ISSN (Print)	14397358

Conference

Conference	ICOSAHOM 2016
Abbreviated title	ICOSAHOM 2016
Country/Territory	Brazil
City	Rio de Janeiro
Period	27/06/16 → 1/07/16

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10.1007/978-3-319-65870-4_15

Cite this

Gervang, B., Olesen, K., & Gerritsma, M. (2017). A Mimetic Spectral Element Method for Non-Isotropic Diffusion Problems. In M. L. Bittencourt, N. A. Dumont, & J. S. Hesthaven (Eds.), Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference (Vol. 119, pp. 229-242). (Lecture Notes in Computational Science and Engineering; Vol. 119). Springer. https://doi.org/10.1007/978-3-319-65870-4_15

Gervang, B. ; Olesen, K. ; Gerritsma, M. / A Mimetic Spectral Element Method for Non-Isotropic Diffusion Problems. Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference. editor / M.L. Bittencourt ; N.A. Dumont ; J.S. Hesthaven. Vol. 119 Springer, 2017. pp. 229-242 (Lecture Notes in Computational Science and Engineering).

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title = "A Mimetic Spectral Element Method for Non-Isotropic Diffusion Problems",

abstract = "We present a mimetic spectral element method for the solution of the stationary Darcy{\textquoteright}s problem. We show that the divergence constraint is satisfied exactly for both heterogeneous, non-isotropic, and deformed mesh problems.",

author = "B. Gervang and K. Olesen and M. Gerritsma",

year = "2017",

doi = "10.1007/978-3-319-65870-4_15",

language = "English",

isbn = "9783319658698",

volume = "119",

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booktitle = "Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference",

note = "ICOSAHOM 2016, ICOSAHOM 2016 ; Conference date: 27-06-2016 Through 01-07-2016",

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Gervang, B, Olesen, K & Gerritsma, M 2017, A Mimetic Spectral Element Method for Non-Isotropic Diffusion Problems. in ML Bittencourt, NA Dumont & JS Hesthaven (eds), Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference. vol. 119, Lecture Notes in Computational Science and Engineering, vol. 119, Springer, pp. 229-242, ICOSAHOM 2016, Rio de Janeiro, Brazil, 27/06/16. https://doi.org/10.1007/978-3-319-65870-4_15

A Mimetic Spectral Element Method for Non-Isotropic Diffusion Problems. / Gervang, B.; Olesen, K.; Gerritsma, M.
Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference. ed. / M.L. Bittencourt; N.A. Dumont; J.S. Hesthaven. Vol. 119 Springer, 2017. p. 229-242 (Lecture Notes in Computational Science and Engineering; Vol. 119).

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

TY - GEN

T1 - A Mimetic Spectral Element Method for Non-Isotropic Diffusion Problems

AU - Gervang, B.

AU - Olesen, K.

AU - Gerritsma, M.

N1 - Conference code: 11

PY - 2017

Y1 - 2017

N2 - We present a mimetic spectral element method for the solution of the stationary Darcy’s problem. We show that the divergence constraint is satisfied exactly for both heterogeneous, non-isotropic, and deformed mesh problems.

AB - We present a mimetic spectral element method for the solution of the stationary Darcy’s problem. We show that the divergence constraint is satisfied exactly for both heterogeneous, non-isotropic, and deformed mesh problems.

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DO - 10.1007/978-3-319-65870-4_15

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AN - SCOPUS:85034211627

SN - 9783319658698

VL - 119

T3 - Lecture Notes in Computational Science and Engineering

SP - 229

EP - 242

BT - Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference

A2 - Bittencourt, M.L.

A2 - Dumont, N.A.

A2 - Hesthaven, J.S.

PB - Springer

T2 - ICOSAHOM 2016

Y2 - 27 June 2016 through 1 July 2016

ER -

Gervang B, Olesen K, Gerritsma M. A Mimetic Spectral Element Method for Non-Isotropic Diffusion Problems. In Bittencourt ML, Dumont NA, Hesthaven JS, editors, Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference. Vol. 119. Springer. 2017. p. 229-242. (Lecture Notes in Computational Science and Engineering). doi: 10.1007/978-3-319-65870-4_15

A Mimetic Spectral Element Method for Non-Isotropic Diffusion Problems

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