Download the fantastic book titled An Introduction to Element Based Galerkin Methods on Tensor Product Bases written by Francis X. Giraldo, available in its entirety in both PDF and EPUB formats for online reading. This page includes a concise summary, a preview of the book cover, and detailed information about "An Introduction to Element Based Galerkin Methods on Tensor Product Bases", which was released on 30 October 2020. We suggest perusing the summary before initiating your download. This book is a top selection for enthusiasts of the Mathematics genre.
Summary of An Introduction to Element Based Galerkin Methods on Tensor Product Bases by Francis X. Giraldo PDF
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 About An Introduction to Element Based Galerkin Methods on Tensor Product Bases PDF
- Author : Francis X. Giraldo
- Publisher : Springer Nature
- Genre : Mathematics
- Total Pages : 559 pages
- ISBN : 3030550699
- Release Date : 30 October 2020
- PDF File Size : 17,6 Mb
- Language : English
- Rating : 4/5 from 21 reviews
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