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An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases
- Analysis, Algorithms, and Applications
Engelsk Paperback
An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases
- Analysis, Algorithms, and Applications
Engelsk Paperback

573 kr
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Om denne bog

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.


Product detaljer
Sprog:
Engelsk
Sider:
559
ISBN-13:
9783030550714
Indbinding:
Paperback
Udgave:
ISBN-10:
3030550710
Udg. Dato:
1 nov 2021
Længde:
0mm
Bredde:
155mm
Højde:
235mm
Forlag:
Springer Nature Switzerland AG
Oplagsdato:
1 nov 2021
Forfatter(e):
Kategori sammenhænge