Poincaré Constants of Finite Element Stars
نویسنده
چکیده
We derive sharp and explicit upper bounds for possibly weighted Poincaré constants of finite element stars. The latter are star-shaped domains that consist of a finite number of nonoverlapping simplices or parallelepipeds which all share a common vertex. Bounds for Poincaré constants are needed in deriving error estimates for quasi-interpolation operators and a posteriori upper bounds.
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