Erschienen: 31.10.2020 Abbildung von Giraldo | An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases | 1. Auflage | 2020 | 24 | beck-shop.de

Giraldo

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

Analysis, Algorithms, and Applications

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Fachbuch

Buch. Hardcover

1st ed. 2020. 2020

xxvi, 559 S. 3 s/w-Abbildungen, 168 Farbabbildungen, Bibliographien.

In englischer Sprache

Springer. ISBN 978-3-030-55068-4

Format (B x L): 15,5 x 23,5 cm

Gewicht: 1039 g

Produktbeschreibung

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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