國立虎尾科技大學 |

Compatible Finite Element Methods for Geophysical Flows = Automation and Implementation Using Firedrake /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Compatible Finite Element Methods for Geophysical Flows/ by Thomas H. Gibson, Andrew T.T. McRae, Colin J. Cotter, Lawrence Mitchell, David A. Ham.
Reminder of title:	Automation and Implementation Using Firedrake /
Author:	Gibson, Thomas H.
other author:	McRae, Andrew T.T.
Description:	VIII, 118 p. 25 illus., 18 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mathematics. -
Online resource:	https://doi.org/10.1007/978-3-030-23957-2
ISBN:	9783030239572

Compatible Finite Element Methods for Geophysical Flows = Automation and Implementation Using Firedrake /
Gibson, Thomas H.

Compatible Finite Element Methods for Geophysical FlowsAutomation and Implementation Using Firedrake /[electronic resource] :by Thomas H. Gibson, Andrew T.T. McRae, Colin J. Cotter, Lawrence Mitchell, David A. Ham. - 1st ed. 2019. - VIII, 118 p. 25 illus., 18 illus. in color.online resource. - SpringerBriefs in Mathematics of Planet Earth, Weather, Climate, Oceans,2509-7326. - SpringerBriefs in Mathematics of Planet Earth, Weather, Climate, Oceans,.

Preface -- Geophysical Fluid Dynamics and Simulation -- Finite Element Methods for Geophysical Flows -- Firedrake -- Models in Two-Dimensions -- Models in Three-Dimensions -- References -- Index.

This book introduces recently developed mixed finite element methods for large-scale geophysical flows that preserve essential numerical properties for accurate simulations. The methods are presented using standard models of atmospheric flows and are implemented using the Firedrake finite element library. Examples guide the reader through problem formulation, discretisation, and automated implementation. The so-called “compatible” finite element methods possess key numerical properties which are crucial for real-world operational weather and climate prediction. The authors summarise the theory and practical implications of these methods for model problems, introducing the reader to the Firedrake package and providing open-source implementations for all the examples covered. Students and researchers with engineering, physics, mathematics, or computer science backgrounds will benefit from this book. Those readers who are less familiar with the topic are provided with an overview of geophysical fluid dynamics.

ISBN: 9783030239572

Standard No.: 10.1007/978-3-030-23957-2doiSubjects--Topical Terms:

527692
Mathematics.

LC Class. No.: NX180.M33

Dewey Class. No.: 519

Compatible Finite Element Methods for Geophysical Flows = Automation and Implementation Using Firedrake /
LDR:02755nam a22003975i 4500 001 1003498
003 DE-He213
005 20200703133903.0
007 cr nn 008mamaa
008 210106s2019 gw | s |||| 0|eng d
020 $a 9783030239572 $9 978-3-030-23957-2
024 7 $a 10.1007/978-3-030-23957-2 $2 doi
035 $a 978-3-030-23957-2
050 4 $a NX180.M33
072 7 $a PBW $2 bicssc
072 7 $a MAT003000 $2 bisacsh
072 7 $a PBW $2 thema
082 0 4 $a 519 $2 23
100 1 $a Gibson, Thomas H. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1296890
245 1 0 $a Compatible Finite Element Methods for Geophysical Flows $h [electronic resource] : $b Automation and Implementation Using Firedrake / $c by Thomas H. Gibson, Andrew T.T. McRae, Colin J. Cotter, Lawrence Mitchell, David A. Ham.
250 $a 1st ed. 2019.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a VIII, 118 p. 25 illus., 18 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a SpringerBriefs in Mathematics of Planet Earth, Weather, Climate, Oceans, $x 2509-7326
505 0 $a Preface -- Geophysical Fluid Dynamics and Simulation -- Finite Element Methods for Geophysical Flows -- Firedrake -- Models in Two-Dimensions -- Models in Three-Dimensions -- References -- Index.
520 $a This book introduces recently developed mixed finite element methods for large-scale geophysical flows that preserve essential numerical properties for accurate simulations. The methods are presented using standard models of atmospheric flows and are implemented using the Firedrake finite element library. Examples guide the reader through problem formulation, discretisation, and automated implementation. The so-called “compatible” finite element methods possess key numerical properties which are crucial for real-world operational weather and climate prediction. The authors summarise the theory and practical implications of these methods for model problems, introducing the reader to the Firedrake package and providing open-source implementations for all the examples covered. Students and researchers with engineering, physics, mathematics, or computer science backgrounds will benefit from this book. Those readers who are less familiar with the topic are provided with an overview of geophysical fluid dynamics.
650 0 $a Mathematics. $3 527692
650 0 $a Computer simulation. $3 560190
650 0 $a Computer software. $3 528062
650 0 $a Numerical analysis. $3 527939
650 0 $a Computer mathematics. $3 1199796
650 1 4 $a Mathematics of Planet Earth. $3 1141729
650 2 4 $a Simulation and Modeling. $3 669249
650 2 4 $a Mathematical Software. $3 672446
650 2 4 $a Numerical Analysis. $3 671433
650 2 4 $a Computational Science and Engineering. $3 670319
700 1 $a McRae, Andrew T.T. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1296891
700 1 $a Cotter, Colin J. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1296892
700 1 $a Mitchell, Lawrence. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1296893
700 1 $a Ham, David A. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1296894
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030239565
776 0 8 $i Printed edition: $z 9783030239589
830 0 $a SpringerBriefs in Mathematics of Planet Earth, Weather, Climate, Oceans, $x 2509-7326 $3 1296895
856 4 0 $u https://doi.org/10.1007/978-3-030-23957-2
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)