On the implementation of a multiscale hybrid high-order method

Matteo Cicuttin; Alexandre Ern; Simon Lemaire

doi:10.1007/978-3-319-96415-7_46

On the implementation of a multiscale hybrid high-order method

Matteo Cicuttin
, Alexandre Ern
, Simon Lemaire

École des ponts
Inria Paris
ENAC-IIC-GEL
INRIA Institut National de Recherche en Informatique et en Automatique

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

Abstract

A multiscale Hybrid High-Order method has been introduced recently to approximate elliptic problems with oscillatory coefficients. In this work, with a view toward implementation, we describe the general workflow of the method and we present one possible way for accurately approximating the oscillatory basis functions by means of a monoscale Hybrid High-Order method deployed on a fine-scale mesh in each cell of the coarse-scale mesh.

Original language	English
Title of host publication	Numerical Mathematics and Advanced Applications ENUMATH 2017
Editors	Florin Adrian Radu, Kundan Kumar, Inga Berre, Jan Martin Nordbotten, Iuliu Sorin Pop
Publisher	Springer Verlag
Pages	509-517
Number of pages	9
ISBN (Print)	9783319964140
DOIs	https://doi.org/10.1007/978-3-319-96415-7_46
Publication status	Published - 1 Jan 2019
Event	European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017 - Voss, Norway Duration: 25 Sept 2017 → 29 Sept 2017

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	126
ISSN (Print)	1439-7358

Conference

Conference	European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017
Country/Territory	Norway
City	Voss
Period	25/09/17 → 29/09/17

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10.1007/978-3-319-96415-7_46

Cite this

Cicuttin, M., Ern, A., & Lemaire, S. (2019). On the implementation of a multiscale hybrid high-order method. In F. A. Radu, K. Kumar, I. Berre, J. M. Nordbotten, & I. S. Pop (Eds.), Numerical Mathematics and Advanced Applications ENUMATH 2017 (pp. 509-517). (Lecture Notes in Computational Science and Engineering; Vol. 126). Springer Verlag. https://doi.org/10.1007/978-3-319-96415-7_46

Cicuttin, Matteo ; Ern, Alexandre ; Lemaire, Simon. / On the implementation of a multiscale hybrid high-order method. Numerical Mathematics and Advanced Applications ENUMATH 2017. editor / Florin Adrian Radu ; Kundan Kumar ; Inga Berre ; Jan Martin Nordbotten ; Iuliu Sorin Pop. Springer Verlag, 2019. pp. 509-517 (Lecture Notes in Computational Science and Engineering).

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title = "On the implementation of a multiscale hybrid high-order method",

abstract = "A multiscale Hybrid High-Order method has been introduced recently to approximate elliptic problems with oscillatory coefficients. In this work, with a view toward implementation, we describe the general workflow of the method and we present one possible way for accurately approximating the oscillatory basis functions by means of a monoscale Hybrid High-Order method deployed on a fine-scale mesh in each cell of the coarse-scale mesh.",

author = "Matteo Cicuttin and Alexandre Ern and Simon Lemaire",

note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2019.; European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017 ; Conference date: 25-09-2017 Through 29-09-2017",

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doi = "10.1007/978-3-319-96415-7\_46",

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Cicuttin, M, Ern, A & Lemaire, S 2019, On the implementation of a multiscale hybrid high-order method. in FA Radu, K Kumar, I Berre, JM Nordbotten & IS Pop (eds), Numerical Mathematics and Advanced Applications ENUMATH 2017. Lecture Notes in Computational Science and Engineering, vol. 126, Springer Verlag, pp. 509-517, European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017, Voss, Norway, 25/09/17. https://doi.org/10.1007/978-3-319-96415-7_46

On the implementation of a multiscale hybrid high-order method. / Cicuttin, Matteo; Ern, Alexandre; Lemaire, Simon.
Numerical Mathematics and Advanced Applications ENUMATH 2017. ed. / Florin Adrian Radu; Kundan Kumar; Inga Berre; Jan Martin Nordbotten; Iuliu Sorin Pop. Springer Verlag, 2019. p. 509-517 (Lecture Notes in Computational Science and Engineering; Vol. 126).

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

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Y1 - 2019/1/1

N2 - A multiscale Hybrid High-Order method has been introduced recently to approximate elliptic problems with oscillatory coefficients. In this work, with a view toward implementation, we describe the general workflow of the method and we present one possible way for accurately approximating the oscillatory basis functions by means of a monoscale Hybrid High-Order method deployed on a fine-scale mesh in each cell of the coarse-scale mesh.

AB - A multiscale Hybrid High-Order method has been introduced recently to approximate elliptic problems with oscillatory coefficients. In this work, with a view toward implementation, we describe the general workflow of the method and we present one possible way for accurately approximating the oscillatory basis functions by means of a monoscale Hybrid High-Order method deployed on a fine-scale mesh in each cell of the coarse-scale mesh.

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SN - 9783319964140

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A2 - Radu, Florin Adrian

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T2 - European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017

Y2 - 25 September 2017 through 29 September 2017

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On the implementation of a multiscale hybrid high-order method

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