An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases - Analysis, Algorithms, and Applications (Hardcover, 1st ed. 2020)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Texts in Computational Science and Engineering, 24
Release date:	November 2020
First published:	2020
Authors:	Francis X. Giraldo
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	559
Edition:	1st ed. 2020
ISBN-13:	978-3-03-055068-4
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers
LSN:	3-03-055068-0
Barcode:	9783030550684

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