| 期刊全稱 | Anisotropic hp-Mesh Adaptation Methods | | 期刊簡(jiǎn)稱 | Theory, implementati | | 影響因子2023 | Vít Dolej?í,Georg May | | 視頻video | http://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 |  | | 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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