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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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发表于 2025-3-21 19:54:12 | 显示全部楼层 |阅读模式
期刊全称An Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method
期刊简称Projections, Estimat
影响因子2023Shukai‘Du,Francisco-Javier Sayas
视频video
发行地址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
学科分类SpringerBriefs in Mathematics
图书封面Titlebook: An Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method; Projections, Estimat Shukai‘Du,Francisco-Javier Sayas Book 2
影响因子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..
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发表于 2025-3-22 00:11:17 | 显示全部楼层
An Invitation to the Theory of the Hybridizable Discontinuous Galerkin MethodProjections, Estimat
发表于 2025-3-22 03:06:27 | 显示全部楼层
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.
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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.
发表于 2025-3-22 14:34:36 | 显示全部楼层
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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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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