半线性椭圆型方程形状和拓扑优化的数值方法

2010 15th International Conference on Methods and Models in Automation and Robotics Pub Date : 2010-09-27 DOI:10.1109/MMAR.2010.5587220

J. Scheid, J. Sokołowski, K. Szulc

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引用次数: 4

摘要

研究一类半线性椭圆型方程的形状优化问题。有一个最优解，由水平集方法计算。为此，求出泛函的形状导数。为了预测拓扑变化，采用了拓扑导数。数值结果验证了所提出的形状优化问题数值求解框架的有效性。

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A numerical method for shape and topology optimization for semilinear elliptic equation

Shape optimization problem for semilinear elliptic equation is considered. There is an optimal solution which is computed by the Levelset method. To this end the shape derivative of the functional is evaluated. In order to predict the topology changes the topological derivative is employed. Numerical results confirm that the proposed framework for numerical solution of shape optimization problems is efficient.

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来源期刊

2010 15th International Conference on Methods and Models in Automation and Robotics

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