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Verifying calculations - forty years on : an overview of classical verification techniques for FEM simulations
- 其他作者：
- 其他題名：
- SpringerBriefs in applied sciences and technology.
- 出版： Cham : Springer International Publishing :Imprint: Springer
- 叢書名： SpringerBriefs in applied sciences and technology,
- 主題： Materials--Mathematical models. , Numerical analysis. , Engineering. , Theoretical and Applied Mechanics. , Simulation and Modeling. , Computational Science and Engineering.
- ISBN： 9783319205533 (electronic bk.) 、 9783319205526 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: Preface, by Ludovic Chamoin and Pedro Diez -- Explicit Residual Methods, by Yvon Maday -- Residual type error estimators, by Antonio Huerta and Pedro Diez -- Fundaments of recovery-based error estimation and bounding, by E. Nadal and J.J. Ródenas -- The Constitutive Relation Error Method: a general verification tool, by Pierre Ladeveze and Ludovic Chamoin.
- 摘要註: This work provides an overview of a posteriori error assessment techniques for Finite Element (FE) based numerical models. These tools aim at estimating and controlling the discretization error in scientific computational models, being the basis for the numerical verification of the FE solutions. The text discusses the capabilities and limitations of classical methods to build error estimates which can be used to control the quality of numerical simulations and drive adaptive algorithms, with a focus on Computational Mechanics engineering applications. Fundamentals principles of residual methods, smoothing (recovery) methods, and constitutive relation error (duality based) methods are thus addressed along the manuscript. Attention is paid to recent advances and forthcoming research challenges on related topics. The book constitutes a useful guide for students, researchers, or engineers wishing to acquire insights into state-of-the-art techniques for numerical verification.
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讀者標籤：
- 系統號： 005357296 | 機讀編目格式
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