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Verifying Calculations - Forty Years On

Ludovic Chamoin
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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.
      Format: Paperback / softback CONTRIBUTORS: Ludovic Chamoin EAN: 9783319205526 COUNTRY: Switzerland PAGES: WEIGHT: 1897 g HEIGHT: 235 cm
      PUBLISHED BY: Springer International Publishing AG DATE PUBLISHED: 2015-08-17 CITY: GENRE: COMPUTERS / Computer Science, COMPUTERS / Computer Simulation, TECHNOLOGY & ENGINEERING / Mechanical WIDTH: 155 cm SPINE:

      Book Themes:

      Numerical analysis, Mechanical engineering, Computer modelling and simulation

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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.
      Format: Paperback / softback CONTRIBUTORS: Ludovic Chamoin EAN: 9783319205526 COUNTRY: Switzerland PAGES: WEIGHT: 1897 g HEIGHT: 235 cm
      PUBLISHED BY: Springer International Publishing AG DATE PUBLISHED: 2015-08-17 CITY: GENRE: COMPUTERS / Computer Science, COMPUTERS / Computer Simulation, TECHNOLOGY & ENGINEERING / Mechanical WIDTH: 155 cm SPINE:

      Book Themes:

      Numerical analysis, Mechanical engineering, Computer modelling and simulation

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      Be the first to write a review
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