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Titlebook: Anisotropic hp-Mesh Adaptation Methods; Theory, implementati Vít Dolej?í,Georg May Book 2022 The Editor(s) (if applicable) and The Author(s

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期刊全稱Anisotropic hp-Mesh Adaptation Methods
期刊簡稱Theory, implementati
影響因子2023Vít Dolej?í,Georg May
視頻videohttp://file.papertrans.cn/158/157771/157771.mp4
發(fā)行地址First monograph exploring the anisotropic hp-mesh adaptation method.Presents rigorous theoretical results that are directly exploitable in practical computations.Demonstrates techniques through many n
學(xué)科分類Ne?as Center Series
圖書封面Titlebook: Anisotropic hp-Mesh Adaptation Methods; Theory, implementati Vít Dolej?í,Georg May Book 2022 The Editor(s) (if applicable) and The Author(s
影響因子Mesh adaptation methods can have a profound impact on the numerical solution of partial differential equations.? If devised and implemented properly, adaptation significantly reduces the size of the algebraic systems resulting from the discretization, while ensuring that applicable error tolerances are met. In this monograph, drawing from many years of experience, the authors give a comprehensive presentation of metric-based anisotropic .hp.-mesh adaptation methods..A large part of this monograph is devoted to the derivation of computable interpolation error estimates on simplicial meshes, which take into account the geometry of mesh elements as well as the anisotropic features of the interpolated function. These estimates are then used for the optimization of corresponding finite element spaces in a variety of settings. Both steady and time dependent problems are treated, as well as goal-oriented adaptation. Practical aspects of implementation are also explored, including several algorithms. Many numerical experiments using the discontinuous Galerkin method are presented to illustrate the performance of the adaptive techniques..This monograph is intended for scientists and researc
Pindex Book 2022
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Anisotropic Mesh Adaptation Method, ,-Variant,lynomial degree of approximation vary from mesh element to mesh element. This is essential in situations where the exact solution contains local singularities but is very smooth in other parts of the computational domain. The main concern here is the extension of the continuous mesh and error models
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