论文信息 - Least squares methods for optimal shape design problems

Least squares methods for optimal shape design problems

Abstract A Least-Squares method for solving an optimal shape design problem which appears in semiconductor device physics is described. Discretization by finite element methods is used for numerical solving. An example and experimental results are presented.

D. M. Bedivan | G. J. Fix

[1] T. Charlton. Progress in Solid Mechanics , 1962, Nature.

[2] Mamoru Kurata,et al. Numerical analysis for semiconductor devices , 1982 .

[3] M. Gunzburger,et al. Accuracy of least-squares methods for the Navier-Stokes equations , 1993 .

[4] C. M. Elliott,et al. Weak and variational methods for moving boundary problems , 1982 .

[5] R. Glowinski,et al. Numerical Methods for Nonlinear Variational Problems , 1985 .

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

[7] A Galerkin finite element method for an optimal shape design semiconductor problem , 1995 .

[8] G. M. Troianiello,et al. Elliptic Differential Equations and Obstacle Problems , 1987 .

[9] W. T. Koiter. General theorems for elastic plastic solids , 1960 .

[10] C. Cryer. The method of Christopherson for solving free boundary problems for infinite journal bearings by means of finite differences , 1971 .

[11] J. Lions,et al. Les inéquations en mécanique et en physique , 1973 .

[12] Max Gunzburger,et al. On finite element methods of the least squares type , 1979 .