A priori error estimates for Lagrange interpolation on triangles

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We present the error analysis of Lagrange interpolation on triangles. A new \textit{a priori} error estimate is derived in which the bound is expressed in terms of the diameter and circumradius of a triangle. No geometric conditions on triangles are imposed in order to get this type of error estimates.

15 pages, 2 figures To appear in Applications of Mathematics

Journal

  • Applications of Mathematics

    Applications of Mathematics 60 (5), 485-499, 2015-09-15

    Institute of Mathematics, Czech Academy of Sciences

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