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An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases
- Analysis, Algorithms, and Applications
Engelsk
Bogcover for An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases af Francis X. Giraldo, 9783030550714
Specifikationer
Sprog:
Engelsk
Sider:
559
ISBN-13:
9783030550714
Indbinding:
Paperback
ISBN-10:
3030550710
Udg. Dato:
1 nov 2021
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
1 nov 2021
Forfatter(e):

An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases

- Analysis, Algorithms, and Applications
Engelsk
Paperback 2021
Format:

Bog beskrivelse

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, including both scalar PDEs and systems of equations.


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Specifikationer
Sprog:
Engelsk
Sider:
559
ISBN-13:
9783030550714
Indbinding:
Paperback
ISBN-10:
3030550710
Udg. Dato:
1 nov 2021
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
1 nov 2021
Forfatter(e):
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