An Introduction to Element Based Galerkin Methods on Tensor Product Bases is popular PDF and ePub book, written by Francis X. Giraldo in 2020-10-30, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, An Introduction to Element Based Galerkin Methods on Tensor Product Bases can be Read Online from any device for your convenience.
An Introduction to Element Based Galerkin Methods on Tensor Product Bases Book PDF Summary
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.
Detail Book of An Introduction to Element Based Galerkin Methods on Tensor Product Bases PDF
- Author : Francis X. Giraldo
- Release : 30 October 2020
- Publisher : Springer Nature
- ISBN : 9783030550691
- Genre : Mathematics
- Total Page : 559 pages
- Language : English
- PDF File Size : 7,7 Mb
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