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Abstract

In this Chapter we present the properties of the classical finite element approximation. We underline the three basic aspects of this method: the existence of a triangulation of ω, the construction of a finite dimensional subspace consisting of piecewise-polynomials, and the existence of a basis of functions having small support. Then, we introduce the interpolation operator and we estimate the interpolation error. Some final remarks will be devoted to several projection operators upon finite element subspaces and their approximation properties.

Keywords

Shape Function Interpolation Error Finite Element Approximation Interpolation Operator Finite Dimensional Space 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

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