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Titlebook: An Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method; Projections, Estimat Shukai‘Du,Francisco-Javier Sayas Book 2

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發(fā)表于 2025-3-21 19:54:12 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱An Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method
期刊簡(jiǎn)稱Projections, Estimat
影響因子2023Shukai‘Du,Francisco-Javier Sayas
視頻videohttp://file.papertrans.cn/156/155653/155653.mp4
發(fā)行地址First introduction to a systematic analysis of the Hybridizable Discontinuous Galerkin Method.Presentation of new simplified techniques to prove estimates using the well-established projection-based a
學(xué)科分類SpringerBriefs in Mathematics
圖書(shū)封面Titlebook: An Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method; Projections, Estimat Shukai‘Du,Francisco-Javier Sayas Book 2
影響因子This monograph requires basic knowledge of the variational theory of elliptic PDE?and the techniques used for the analysis of the Finite Element Method. However, all the tools for the?analysis of FEM (scaling arguments, finite dimensional estimates in the reference configuration, Piola?transforms) are carefully introduced before being used, so that the reader does not need to go over?longforgotten textbooks. Readers include: computational mathematicians, numerical analysts, engineers?and scientists interested in new and computationally competitive Discontinuous Galerkin methods. The?intended audience includes graduate students in computational mathematics, physics, and engineering,?since the prerequisites are quite basic for a second year graduate student who has already taken a non?necessarily advanced class in the Finite Element method..
Pindex Book 2019
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沙發(fā)
發(fā)表于 2025-3-22 00:11:17 | 只看該作者
An Invitation to the Theory of the Hybridizable Discontinuous Galerkin MethodProjections, Estimat
板凳
發(fā)表于 2025-3-22 03:06:27 | 只看該作者
Getting Ready,ties in a reference configuration. They belong to the category of what the FEM community calls .. We will not be using anything specific from FEM theory, but the arguments will be familiar to anyone aware of these techniques.
地板
發(fā)表于 2025-3-22 07:07:38 | 只看該作者
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發(fā)表于 2025-3-22 12:17:41 | 只看該作者
The Hybridizable Discontinuous Galerkin Method,stabilization (not penalization) function. This is how local quantities of RT, BDM, and HDG methods compare. Note that there is no natural finite element structure for ., where we can recognize boundary and internal degrees of freedom. Instead, we will have a projection that integrates . into the same structure.
6#
發(fā)表于 2025-3-22 14:34:36 | 只看該作者
An Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method978-3-030-27230-2Series ISSN 2191-8198 Series E-ISSN 2191-8201
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發(fā)表于 2025-3-22 18:00:46 | 只看該作者
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發(fā)表于 2025-3-22 22:12:34 | 只看該作者
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發(fā)表于 2025-3-23 04:54:06 | 只看該作者
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發(fā)表于 2025-3-23 08:55:01 | 只看該作者
https://doi.org/10.1007/978-3-662-59052-2In this section, we explore a simple form of writing the HDG and HDG+ equations in “primal” form, with . as the only unknown. This will shed some light on relations of these methods with similar schemes and will be useful for some arguments on the HDG discretization of evolutionary equations.
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