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Keywords:
finite elements; linear interpolation; maximum angle condition; Zlámal’s condition
finite elements; linear interpolation; maximum angle condition; Zlámal’s condition
Summary:
We consider triangulations formed by triangular elements. For the standard linear interpolation operator $\pi__h$ we prove the interpolation order to be $\left\|v-{\pi__h} v\right\|_{1,p}\leq Ch\left|v\right|_{2,p}$ for $p>1$ provided the corresponding family of triangulations is only semiregular. In such a case the well-known Zlámal's condition upon the minimum angle need not be satisfied.
References:
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