Constrained Allen-cahn System and Regularized Projected Steepest Descent Method

  title={Constrained Allen-cahn System and Regularized Projected Steepest Descent Method},
  author={Rouhollah Tavakoli},
A new computational algorithm is introduced in the present study to solve multimaterial topology optimization problems. It is based on the penalization of the objective functional by the multiphase volume constrained Ginzburg-Landau energy functional. The update procedure is based on the gradient flow of the objective functional by a fractional step projected steepest descent method. In the first step, the new design is found based on the projected steepest descent method to ensure the… CONTINUE READING


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