An Introduction to Element-Based Galerkin Methods on Tensor-P...

Description: An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Analysis, Algorithms, and Applications Author(s): Francis X. Giraldo Format: Hardback Publisher: Springer Nature Switzerland AG, Switzerland Imprint: Springer Nature Switzerland AG ISBN-13: 9783030550684, 978-3030550684 Synopsis 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 ([url] 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 ([url] 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.

Price: 63.6 GBP

Location: Aldershot

End Time: 2024-04-23T08:14:05.000Z

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