Error analysis of the H1 gradient method for shape-optimization problems of continua

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概要

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• We present an error estimation for the H1 gradient method, which provides numerical solutions to the shape-optimization problem of the domain in which a boundary value problem is defined. The main result is that if second-order elements are used for the solutions of the main and adjoint boundary value problems to evaluate the shape derivative, and the first-order elements are used for the solution of domain variation in the boundary value problem of the H1 gradient method, then we obtain first-order convergence of the solution of the domain variation with respect to the size of the finite elements.

著者

• Azegami Hideyuki

  Graduate School of Information Science, Nagoya University

• Murai Daisuke

  Graduate School of Information Science, Nagoya University

関連論文

• Numerical solution to shape optimization problems for non-stationary Navier-Stokes problems
• Regular solution to topology optimization problems of continua
• Error analysis of the H1 gradient method for shape-optimization problems of continua

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