Displaying similar documents to “New insights into the strong formulation finite element method for solving elastostatic and elastodynamic problems”

Numerical integration for high order pyramidal finite elements

Nilima Nigam, Joel Phillips (2012)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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We examine the effect of numerical integration on the accuracy of high order conforming pyramidal finite element methods. Non-smooth shape functions are indispensable to the construction of pyramidal elements, and this means the conventional treatment of numerical integration, which requires that the finite element approximation space is piecewise polynomial, cannot be applied. We develop an analysis that allows the finite element approximation space to include non-smooth functions and...

Numerical integration for high order pyramidal finite elements

Nilima Nigam, Joel Phillips (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

We examine the effect of numerical integration on the accuracy of high order conforming pyramidal finite element methods. Non-smooth shape functions are indispensable to the construction of pyramidal elements, and this means the conventional treatment of numerical integration, which requires that the finite element approximation space is piecewise polynomial, cannot be applied. We develop an analysis that allows the finite element approximation space to include non-smooth functions...

Numerical Verification of Industrial Numerical Codes

Christophe Denis, Sethy Montan (2012)

ESAIM: Proceedings

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Several approximations occur during a numerical simulation: physical effects mapy be discarded, continuous functions replaced by discretized ones and real numbers replaced by finite-precision representations. The use of the floating point arithmetic generates round-off errors at each arithmetical expression and some mathematical properties are lost. The aim of the numerical verification activity at EDF R&D is to study the effect of the round-off error propagation on the results of...