國立高雄大學圖資館 |

Language: English

Back

Compatible finite element methods fo...

Gibson, Thomas H.

Compatible finite element methods for geophysical flowsautomation and implementation using Firedrake /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Compatible finite element methods for geophysical flowsby Thomas H. Gibson ... [et al.].
Reminder of title:	automation and implementation using Firedrake /
Author:	Gibson, Thomas H.
other author:	McRae, Andrew T. T.
Published:	Cham :Springer International Publishing :2019.
Description:	viii, 118 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Geophysical predictionMathematics.
Online resource:	https://doi.org/10.1007/978-3-030-23957-2
ISBN:	9783030239572$q(electronic bk.)

Compatible finite element methods for geophysical flowsautomation and implementation using Firedrake /
Gibson, Thomas H.

Compatible finite element methods for geophysical flowsautomation and implementation using Firedrake /[electronic resource] :by Thomas H. Gibson ... [et al.]. - Cham :Springer International Publishing :2019. - viii, 118 p. :ill. (some col.), digital ;24 cm. - 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$q(electronic bk.)

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

878768
Geophysical prediction
--Mathematics.

LC Class. No.: QC809.M37 / G53 2019

Dewey Class. No.: 550.151

Compatible finite element methods for geophysical flowsautomation and implementation using Firedrake /
LDR:02381nmm a2200337 a 4500 001 587202
003 DE-He213
005 20200703133903.0
006 m d
007 cr nn 008maaau
008 210326s2019 sz s 0 eng d
020 $a 9783030239572$q(electronic bk.)
020 $a 9783030239565$q(paper)
024 7 $a 10.1007/978-3-030-23957-2 $2 doi
035 $a 978-3-030-23957-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QC809.M37 $b G53 2019
072 7 $a PBW $2 bicssc
072 7 $a MAT003000 $2 bisacsh
072 7 $a PBW $2 thema
082 0 4 $a 550.151 $2 23
090 $a QC809.M37 $b G451 2019
100 1 $a Gibson, Thomas H. $3 878766
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 ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a viii, 118 p. : $b ill. (some col.), digital ; $c 24 cm.
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 Geophysical prediction $x Mathematics. $3 878768
650 1 4 $a Mathematics of Planet Earth. $3 779959
650 2 4 $a Simulation and Modeling. $3 273719
650 2 4 $a Mathematical Software. $3 279828
650 2 4 $a Numerical Analysis. $3 275681
650 2 4 $a Computational Science and Engineering. $3 274685
700 1 $a McRae, Andrew T. T. $3 878767
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a SpringerBriefs in mathematics of planet earth, weather, climate, oceans. $3 852180
856 4 0 $u https://doi.org/10.1007/978-3-030-23957-2
950 $a Mathematics and Statistics (SpringerNature-11649)