An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases
Giraldo, Francis X.
Produktnummer:
1840cf97da8e20442cbdb301b988e6fc63
| Autor: | Giraldo, Francis X. |
|---|---|
| Themengebiete: | Galerkin methods discontinuous Galerkin hybridized discontinuous Galerkin partial differential equations spectral element |
| Veröffentlichungsdatum: | 01.11.2021 |
| EAN: | 9783030550714 |
| Sprache: | Englisch |
| Seitenzahl: | 559 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer International Publishing |
| Untertitel: | Analysis, Algorithms, and Applications |
Produktinformationen "An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases"
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.
Sie möchten lieber vor Ort einkaufen?
Sie haben Fragen zu diesem oder anderen Produkten oder möchten einfach gerne analog im Laden stöbern? Wir sind gerne für Sie da und beraten Sie auch telefonisch.
Juristische Fachbuchhandlung
Georg Blendl
Parcellistraße 5 (Maxburg)
8033 München
Montag - Freitag: 8:15 -18 Uhr
Samstags geschlossen