| 期刊全称 | An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases | | 期刊简称 | Analysis, Algorithms | | 影响因子2023 | Francis X. Giraldo | | 视频video | | | 发行地址 | The construction of element matrices and the resulting matrices are shown for all the differential operators discussed. This helps the reader understand the material clearly and assists them in buildi | | 学科分类 | Texts in Computational Science and Engineering | | 图书封面 |  | | 影响因子 | .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.. | | Pindex | Textbook 2020 |
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发表于 2025-3-21 19:33:38
