Two Algorithms for a Class of Elliptic Problems in Shape Optimization

Algorithm 2

(1) = 0.

(2) Compute the solution of (8) with domain ∖, .

  For = 1 : Nelement

     Compute ;

     Find no marked elements and compute their sum of shape functional

    ;

     if

    Yes: mark;

    No: remove the mark.

     end

  end

(3) = + 1, Go to Step  2.