Preconditioned Finite Element Method: the Poisson Problem on the Square

    Abstract

    Consider the Poisson problem on Ω = [0, 1] × [0, 1]. Let τ 0 be the trian-gulation of Ω obtained by tracing the line through the points (1, 0) and (0,1). 1 0 (Ω) and the interpolating operators defined starting from τ 0 via the rule indicated in (toe 1f). Note that diam (τ j) = h j = 2 −j √ 2. Note also that the number of the inner nodes of τ j is n 2 where… (More)

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