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Polyhedral methods in geosciences

Di Pietro, Daniele Antonio.

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Polyhedral methods in geosciences

Record Type:	Electronic resources : Monograph/item
Title/Author:	Polyhedral methods in geosciences/ edited by Daniele Antonio Di Pietro, Luca Formaggia, Roland Masson.
other author:	Di Pietro, Daniele Antonio.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xiii, 332 p. :ill., digital ;24 cm.
[NT 15003449]:	J. Droniou et al., Non-conforming ﬁnite elements on polytopal meshes -- C. Cances et al., Error estimates for the gradient discretization method on degenerate parabolic equations of porous medium type -- K. Brenner et al., Nodal discretization of two-phase discrete fracture matrix models -- Jan M. Nordbotten and E. Keilegavlen, An introduction to multi-point ﬂux (MPFA) and stress (MPSA) ﬁnite volume methods for thermo-poroelasticity -- Paola F. Antonietti et al., High-order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations -- L. Botti et al., A hybrid high-order method for multiple-network poroelasticity -- D. Adak et al., The mixed virtual element method for the Richards equation -- A. Fumagalli et al., Performances of the mixed virtual element method on complex grids for underground ﬂow.
Contained By:	Springer Nature eBook
Subject:	Polyhedral functions. -
Online resource:	https://doi.org/10.1007/978-3-030-69363-3
ISBN:	9783030693633

Polyhedral methods in geosciences
Polyhedral methods in geosciences[electronic resource] /edited by Daniele Antonio Di Pietro, Luca Formaggia, Roland Masson. - Cham :Springer International Publishing :2021. - xiii, 332 p. :ill., digital ;24 cm. - SEMA SIMAI Springer series,v.272199-3041 ;. - SEMA SIMAI Springer series ;v.27..

J. Droniou et al., Non-conforming ﬁnite elements on polytopal meshes -- C. Cances et al., Error estimates for the gradient discretization method on degenerate parabolic equations of porous medium type -- K. Brenner et al., Nodal discretization of two-phase discrete fracture matrix models -- Jan M. Nordbotten and E. Keilegavlen, An introduction to multi-point ﬂux (MPFA) and stress (MPSA) ﬁnite volume methods for thermo-poroelasticity -- Paola F. Antonietti et al., High-order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations -- L. Botti et al., A hybrid high-order method for multiple-network poroelasticity -- D. Adak et al., The mixed virtual element method for the Richards equation -- A. Fumagalli et al., Performances of the mixed virtual element method on complex grids for underground ﬂow.

The last few years have witnessed a surge in the development and usage of discretization methods supporting general meshes in geoscience applications. The need for general polyhedral meshes in this context can arise in several situations, including the modelling of petroleum reservoirs and basins, CO2 and nuclear storage sites, etc. In the above and other situations, classical discretization methods are either not viable or require ad hoc modifications that add to the implementation complexity. Discretization methods able to operate on polyhedral meshes and possibly delivering arbitrary-order approximations constitute in this context a veritable technological jump. The goal of this monograph is to establish a state-of-the-art reference on polyhedral methods for geoscience applications by gathering contributions from top-level research groups working on this topic. This book is addressed to graduate students and researchers wishing to deepen their knowledge of advanced numerical methods with a focus on geoscience applications, as well as practitioners of the field.

ISBN: 9783030693633

Standard No.: 10.1007/978-3-030-69363-3doiSubjects--Topical Terms:

935053
Polyhedral functions.

LC Class. No.: QA343 / .P659 2021

Dewey Class. No.: 515.983

Polyhedral methods in geosciences
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245 0 0 $a Polyhedral methods in geosciences $h [electronic resource] / $c edited by Daniele Antonio Di Pietro, Luca Formaggia, Roland Masson.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xiii, 332 p. : $b ill., digital ; $c 24 cm.
490 1 $a SEMA SIMAI Springer series, $x 2199-3041 ; $v v.27
505 0 $a J. Droniou et al., Non-conforming ﬁnite elements on polytopal meshes -- C. Cances et al., Error estimates for the gradient discretization method on degenerate parabolic equations of porous medium type -- K. Brenner et al., Nodal discretization of two-phase discrete fracture matrix models -- Jan M. Nordbotten and E. Keilegavlen, An introduction to multi-point ﬂux (MPFA) and stress (MPSA) ﬁnite volume methods for thermo-poroelasticity -- Paola F. Antonietti et al., High-order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations -- L. Botti et al., A hybrid high-order method for multiple-network poroelasticity -- D. Adak et al., The mixed virtual element method for the Richards equation -- A. Fumagalli et al., Performances of the mixed virtual element method on complex grids for underground ﬂow.
520 $a The last few years have witnessed a surge in the development and usage of discretization methods supporting general meshes in geoscience applications. The need for general polyhedral meshes in this context can arise in several situations, including the modelling of petroleum reservoirs and basins, CO2 and nuclear storage sites, etc. In the above and other situations, classical discretization methods are either not viable or require ad hoc modifications that add to the implementation complexity. Discretization methods able to operate on polyhedral meshes and possibly delivering arbitrary-order approximations constitute in this context a veritable technological jump. The goal of this monograph is to establish a state-of-the-art reference on polyhedral methods for geoscience applications by gathering contributions from top-level research groups working on this topic. This book is addressed to graduate students and researchers wishing to deepen their knowledge of advanced numerical methods with a focus on geoscience applications, as well as practitioners of the field.
650 0 $a Polyhedral functions. $3 935053
650 0 $a Discretization (Mathematics) $3 3338867
650 0 $a Earth sciences $x Mathematics. $3 551200
650 1 4 $a Computational Mathematics and Numerical Analysis. $3 891040
650 2 4 $a Geotechnical Engineering & Applied Earth Sciences. $3 1565915
650 2 4 $a Analysis. $3 891106
650 2 4 $a Applications of Mathematics. $3 890893
650 2 4 $a Computational Science and Engineering. $3 893018
700 1 $a Di Pietro, Daniele Antonio. $3 3450277
700 1 $a Formaggia, Luca. $3 2145780
700 1 $a Masson, Roland. $3 3506128
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856 4 0 $u https://doi.org/10.1007/978-3-030-69363-3
950 $a Mathematics and Statistics (SpringerNature-11649)