| 书目名称 | The Gradient Discretisation Method |
| 编辑 | Jérôme Droniou,Robert Eymard,Raphaèle Herbin |
| 视频video | |
| 概述 | Includes a complete convergence analysis of schemes for linear and non-linear PDEs, covering all standard boundary conditions for elliptic and parabolic models.Presents a unified analysis of many clas |
| 丛书名称 | Mathématiques et Applications |
| 图书封面 |  |
| 描述 | .This monograph presents the Gradient Discretisation Method (GDM), which is a unified convergence analysis framework for numerical methods for elliptic and parabolic partial differential equations. The results obtained by the GDM cover both stationary and transient models; error estimates are provided for linear (and some non-linear) equations, and convergence is established for a wide range of fully non-linear models (e.g. Leray–Lions equations and degenerate parabolic equations such as the Stefan or Richards models). The GDM applies to a diverse range of methods, both classical (conforming, non-conforming, mixed finite elements, discontinuous Galerkin) and modern (mimetic finite differences, hybrid and mixed finite volume, MPFA-O finite volume), some of which can be built on very general meshes.. |
| 出版日期 | Textbook 2018 |
| 关键词 | Gradient Discretisation Method; Gradient schemes; Elliptic partial differential equations; Parabolic pa |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-79042-8 |
| isbn_softcover | 978-3-319-79041-1 |
| isbn_ebook | 978-3-319-79042-8Series ISSN 1154-483X Series E-ISSN 2198-3275 |
| issn_series | 1154-483X |
| copyright | Springer International Publishing AG, part of Springer Nature 2018 |
发表于 2025-3-21 18:56:06
