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Unformatted text preview: the Fner the mesh necessary to achieve a given accuracy. CHALLENGE 31.3. (a) Suppose (for convenience of notation) that R 2 . (Other dimensions are just as easy.) irst we apply integration by parts (with zero boundary conditions) to see that if w = 0 ( w, A w ) = Z Z w ( a w )d x d y = Z Z w ( a w )d x d y = Z Z a 1 ( x, y ) w x 2 + a 2 ( x, y ) w y 2 d x d y ,...
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This note was uploaded on 01/21/2012 for the course MAP 3302 taught by Professor Dr.robin during the Fall '11 term at University of Florida.
 Fall '11
 Dr.Robin

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