A refined Newton’s mesh independence principle for a class of optimal shape design problems

Ioannis Argyros 1
  • 1 Cameron University

Abstract

Shape optimization is described by finding the geometry of a structure which is optimal in the sense of a minimized cost function with respect to certain constraints. A Newton’s mesh independence principle was very efficiently used to solve a certain class of optimal design problems in [6]. Here motivated by optimization considerations we show that under the same computational cost an even finer mesh independence principle can be given.

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