TY - BOOK AU - Chamoin,Ludovic AU - Díez,Pedro ED - SpringerLink (Online service) TI - Verifying Calculations - Forty Years On: An Overview of Classical Verification Techniques for FEM Simulations T2 - SpringerBriefs in Applied Sciences and Technology, SN - 9783319205533 AV - TA349-359 U1 - 620.1 23 PY - 2016/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Engineering KW - Computer simulation KW - Computer mathematics KW - Mechanics KW - Mechanics, Applied KW - Theoretical and Applied Mechanics KW - Simulation and Modeling KW - Computational Science and Engineering N1 - Preface, by Ludovic Chamoin and Pedro Díez -- Explicit Residual Methods, by Yvon Maday -- Residual type error estimators, by Antonio Huerta and Pedro Díez -- 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 Ladevèze and Ludovic Chamoin N2 - 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 discussesthe capabilities and limitations of classical methodsto 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 UR - http://148.231.10.114:2048/login?url=http://dx.doi.org/10.1007/978-3-319-20553-3 ER -