Abstract
In this paper we analyze the effect of numerical quadrature in the finite element analysis for a time dependent parabolicin tegro-differential equation with nonsmooth initial data. Both semi-discrete and fully discrete schemes are discussed and optimal order error estimates are derived in L ∞ (L 2 ) and L ∞ (H 1 ) norms using energy method when the initial function is only in H 1 0 . Further, quasi-optimal maximum norm estimate is shown to hold for rough initial data.
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