论文信息 - Finite-element design sensitivity analysis for non-linear potential problems

Finite-element design sensitivity analysis for non-linear potential problems

Design sensitivity analysis is performed for the finite-element system arising from the discretization of non-linear potential problems using isoparametric Lagrangian elements. The calculated sensitivity formulae are given in a simple matrix form. Applications to the design of electromagnets and airfoils are given.

Raino A. E. Mäkinen | R. Mäkinen

[1] R. Makinen. On numerical methods for state constrained optimal shape design problems , 1989 .

[2] J. Haslinger,et al. Finite Element Approximation for Optimal Shape Design: Theory and Applications , 1989 .

[3] R. A. Brockman,et al. Geometric sensitivity analysis with isoparametric finite elements , 1987 .

[4] R. A. Brockman,et al. Sensitivity analysis with plate and shell finite elements , 1988 .

[5] O. Pironneau. Optimal Shape Design for Elliptic Systems , 1983 .

[6] O. Pironneau,et al. Optimum design with lagrangian finite elements: Design of an electromagnet , 1978 .