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Title Verifying calculations-- forty years on : an overview of classical verification techniques for FEM simulations / Ludovic Chamoin, Pedro Diez, editors.
Imprint Cham : Springer, 2016.

View online
View online
Series SpringerBriefs in applied sciences and technology
SpringerBriefs in applied sciences and technology.
Subject Materials -- Mathematical models.
Numerical analysis.
Alt Name Chamoin, Ludovic,
Pedro, de Toledo, Bishop of Málaga, -1499,
Description 1 online resource.
Bibliography Note Includes bibliographical references.
Contents 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. Rodenas -- The Constitutive Relation Error Method: a general verification tool, by Pierre Ladeveze and Ludovic Chamoin.
Summary 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.
Note Online resource; title from PDF title page (EBSCO, viewed August 11, 2015).
ISBN 9783319205533 (electronic bk.)
3319205536 (electronic bk.)
3319205528 (print)
9783319205526 (print)
ISBN/ISSN 10.1007/978-3-319-20553-3
OCLC # 916446553
Additional Format Printed edition: 9783319205526

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