A priori error estimates for Lagrange interpolation on triangles
arXiv:1408.2179
Originality Synthesis-oriented
AI Analysis
Provides a more general error estimate for interpolation on triangles, useful for numerical analysis and finite element methods.
The paper derives a new a priori error estimate for Lagrange interpolation on triangles, with the bound expressed in terms of the triangle's diameter and circumradius, without imposing geometric conditions.
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.