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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Compatible Finite Element Methods for Geophysical Flows/ by Thomas H. Gibson, Andrew T.T. McRae, Colin J. Cotter, Lawrence Mitchell, David A. Ham.
其他題名:	Automation and Implementation Using Firedrake /
作者:	Gibson, Thomas H.
其他作者:	McRae, Andrew T.T.
面頁冊數:	VIII, 118 p. 25 illus., 18 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematics. -
電子資源:	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 /
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