A Babuška-Aziz type proof of the circumradius condition
arXiv:1306.2097 · doi:10.1007/s13160-013-0128-y
Abstract
In this paper the error of polynomial interpolation of degree 1 on triangles is considered. The circumradius condition, which is more general than the maximum angle condition, is explained and proved by the technique given by Babuška-Aziz.
English language was polished and typos were corrected. To appear in Japan Journal of Industrial and Applied Mathematics
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- On the circumradius condition for piecewise linear triangular elements
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- Extenting of Babuška-Aziz's theorem to higher-order Lagrange interpolation
- Approximating surface areas by interpolations on triangulations
- A robust discontinuous Galerkin scheme on anisotropic meshes