Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
作者： Rolf Rannacher , Ridgway Scott
DOI: 10.1090/S0025-5718-1982-0645661-4
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摘要: It is shown that the Ritz projection onto spaces of piecewise linear finite elements bounded in Sobolev space, Wl, for 2 - p < oc. This implies functions wf n W2 error approximation behaves like 0(h) Wp, ? oo, and 0(h2) Lp, oo. In all these cases additional logarithmic factor previously included estimates does not occur.
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