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Lagrange Finite Elements and Interpolation

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Finite Element Approximation of Contact and Friction in Elasticity

Part of the book series: Advances in Mechanics and Mathematics ((ACM,volume 48))

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Abstract

The aim of this chapter is to give a brief introduction to finite element spaces, and introduce some useful interpolation estimates in fractional order Sobolev spaces which will serve later on to establish corresponding a priori error estimates. For simplicity, we limit the presentation to Lagrange finite elements on triangular or tetrahedral meshes.

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Authors and Affiliations

  1. University of Burgundy, Dijon, France

    Franz Chouly

  2. Paul Sabatier University, Toulouse, France

    Patrick Hild

  3. National Institute of Applied Sciences of Lyon, Lyon, France

    Yves Renard

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  1. Franz Chouly
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  2. Patrick Hild
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  3. Yves Renard
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Chouly, F., Hild, P., Renard, Y. (2023). Lagrange Finite Elements and Interpolation. In: Finite Element Approximation of Contact and Friction in Elasticity. Advances in Mechanics and Mathematics(), vol 48. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-31423-0_4

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