Abstract
On the basis of Avellaneda & Hua-Lin (1991, Commun. Pure Appl. Math., 44 897-910), a pointwise error estimate on the 1-order approximation of Green function G e x 0 defined in R 2 is shown at first. Then based on this estimate and using asymptotic expansion method, an improved approximation of G e x 0 and its pointwise error estimate are obtained.
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