An Introduction to Element-based Galerkin Methods on Tensor-product Bases: Analysis, Algorithms, and Applications - Couverture rigide

Giraldo, Francis X.

 
9783030550684: An Introduction to Element-based Galerkin Methods on Tensor-product Bases: Analysis, Algorithms, and Applications
Couverture rigide
ISBN 10 : 3030550680 ISBN 13 : 9783030550684
Editeur : Springer Nature Switzerland AG, 2020

Synopsis

This book introduces the reader to solving partial differential equations (PDEs) numerically using element-based Galerkin methods. Although it draws on a solid theoretical foundation (e.g. the theory of interpolation, numerical integration, and function spaces), the book's main focus is on how to build the method, what the resulting matrices look like, and how to write algorithms for coding Galerkin methods. In addition, the spotlight is on tensor-product bases, which means that only line elements (in one dimension), quadrilateral elements (in two dimensions), and cubes (in three dimensions) are considered. The types of Galerkin methods covered are: continuous Galerkin methods (i.e., finite/spectral elements), discontinuous Galerkin methods, and hybridized discontinuous Galerkin methods using both nodal and modal basis functions. In addition, examples are included (which can also serve as student projects) for solving hyperbolic and elliptic partial differential equations, includingboth scalar PDEs and systems of equations.


Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Francis (Frank) Giraldo is a Distinguished Professor of Applied Mathematics at the Naval Postgraduate School and a founding member of the Scientific Computing group. He and his team built the NUMA model using the element-based Galerkin (EBG) methods described in this text; NUMA is a Navier-Stokes solver used for atmospheric, ocean, and fluid dynamics simulations. Frank Giraldo (and colleagues) hosted the 2012 Gene Golub SIAM Summer School on Simulation and Supercomputing in the Geosciences where EBG methods was one of the topics of the summer course. In addition, Frank has served on the National Earth Systems Prediction Capability working groups for over 10 years, and has served on the Department of Energy's INCITE panels for over 5 years (including chairing the committee a number of times).

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer Nature Switzerland AG
Date d'édition
2020
Langue
anglais
ISBN 10 
3030550680
ISBN 13 
9783030550684
Reliure
Relié
Nombre de pages
559
Coordonnées du fabricant
KINESIS
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
22391
Allemagne

Autres éditions populaires du même titre

9783030550714: An Introduction to Element-based Galerkin Methods on Tensor-product Bases: Analysis, Algorithms, and Applications

Edition présentée

ISBN 10 :  3030550710 ISBN 13 :  9783030550714
Editeur : Springer Nature Switzerland AG, 2021
Couverture souple