portada An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases: Analysis, Algorithms, and Applications (en Inglés)

An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases: Analysis, Algorithms, and Applications (en Inglés)

Formato

Libro Físico

Autor

Francis X. Giraldo

Editorial

Springer

Idioma

Inglés

N° páginas

559

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6x3 cm

Peso

0.81 kg.

ISBN13

9783030550714

N° edición

Categorías

Sistemas numéricos
Cálculo diferencial y ecuaciones
Ciencias de la computación

An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases: Analysis, Algorithms, and Applications (en Inglés)

Francis X. Giraldo (Autor) · Springer · Tapa Blanda

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Reseña del libro "An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases: Analysis, Algorithms, and Applications (en Inglés)"

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, includingboth scalar PDEs and systems of equations.