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Verifying Calculations - Forty Years On - An Overview of Classical Verification Techniques for FEM Simulations (Paperback, 1st ed. 2016)
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Verifying Calculations - Forty Years On - An Overview of Classical Verification Techniques for FEM Simulations (Paperback, 1st ed. 2016)
Series: SpringerBriefs in Applied Sciences and Technology
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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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