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Verifying Calculations - Forty Years On An Overview of Classical Verification Techniques for FEM Simulations

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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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Publisher

The Author( : Springer Cham., 2016

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Language

English

ISBN/ISSN

978-3-319-20553-3

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NONE

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text

Media Type

computer

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online resource

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Subject(s)

Computational Science and Engineering
Simulation and Modeling
Theoretical and Applied Mechanics

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Statement of Responsibility

Ludovic Chamoin, Pedro Díez

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agus

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