27 citations · 157 across the 31 of their papers we have counts for
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math.NA2013★ 11 cited
On the circumradius condition for piecewise linear triangular elements
Kenta Kobayashi, Takuya Tsuchiya
We discuss the error analysis of linear interpolation on triangular elements. We claim that the circumradius condition is more essential then the well-known maximum angle condition…
math.NA2013★ 14 cited
A Babuška-Aziz type proof of the circumradius condition
Kenta Kobayashi, Takuya Tsuchiya
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 e…