Question: ( 2 0 pts ) Use a uniform four - element mesh on 0 , 1 and piecewise Lagrangian linear finite element basis functions to

(20 pts) Use a uniform four-element mesh on 0,1 and piecewise Lagrangian linear finite element basis functions to construct a finite element interpolant, fh of the function f(x)=sin(x), that is, set the values fh(xi)=sin(xi),i=1,2,3,4,5, and plot the function f and fh.
( 2 0 pts ) Use a uniform four - element mesh on

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