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An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases on Hardback by Francis X. Giraldo
An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases on Hardback by Francis X. Giraldo
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An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases

Analysis, Algorithms, and Applications
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Description

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.

Author Biography:

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).
Release date Australia
October 31st, 2020
Audience
  • Professional & Vocational
Edition
1st ed. 2020
Illustrations
168 Illustrations, color; 3 Illustrations, black and white; XXVI, 559 p. 171 illus., 168 illus. in color.
Pages
559
ISBN-13
9783030550684
Product ID
33578876

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An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases by Francis X. Giraldo
$172.99
An Introduction to Element-Based Galerkin Methods on Tensor-Product...
by Francis X. Giraldo ~ Paperback / softback
Available - Usually ships in 3-4 weeks

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