Asymptotic analysis of shape functionals
暂无分享,去创建一个
[1] J. Roßmann,et al. Elliptic Boundary Value Problems in Domains with Point Singularities , 2002 .
[2] Antoine Henrot,et al. On Numerical Solution of Shape Inverse Problems , 2002, Comput. Optim. Appl..
[3] Jan Sokoƒowski,et al. TOPOLOGICAL DERIVATIVES OF SHAPE FUNCTIONALS FOR ELASTICITY SYSTEMS* , 2001 .
[4] Philippe Guillaume,et al. The Topological Asymptotic for PDE Systems: The Elasticity Case , 2000, SIAM J. Control. Optim..
[5] V. Maz'ya,et al. Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains: Volume I , 2000 .
[6] S. Nazarov,et al. The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes , 1999 .
[7] Jan Sokolowski,et al. On the Topological Derivative in Shape Optimization , 1999 .
[8] Jan Sokołowski,et al. Topological derivatives for elliptic problems , 1999 .
[9] Yury Grabovsky,et al. The cavity of the optimal shape under the shear stresses , 1998 .
[10] S. Nazarov,et al. Selfadjoint Extensions of the Neumann Laplacian in Domains with Cylindrical Outlets , 1997 .
[11] R. Gadyl'shin. Existence and asymptotics of poles with small imaginary part for the Helmholtz resonator , 1997 .
[12] S. Nazarov. Korn's Inequalities for Junctions of Spatial Bodies and Thin Rods , 1997 .
[13] Martin P. Bendsøe,et al. Optimization of Structural Topology, Shape, And Material , 1995 .
[14] V. Kobelev,et al. Bubble method for topology and shape optimization of structures , 1994 .
[15] B. Plamenevskii,et al. Elliptic Problems in Domains with Piecewise Smooth Boundaries , 1994 .
[16] W. Borchers,et al. Existence, uniqueness and asymptotics of steady jets , 1992 .
[17] A. M. Ilʹin,et al. Matching of Asymptotic Expansions of Solutions of Boundary Value Problems , 1992 .
[18] A. Movchan. Integral characteristics of elastic inclusions and cavities in the two-dimensional theory of elasticity , 1992, European Journal of Applied Mathematics.
[19] S. Nazarov. Two-Term Asymptotics of Solutions of Spectral Problems with Singular Perturbations , 1991 .
[20] S. Nazarov. Selfadjoint Extensions of the Dirichlet Problem Operator in Weighted Function Spaces , 1990 .
[21] B. Pavlov,et al. The theory of extensions and explicitly-soluble models , 1987 .
[22] Dominique Leguillon,et al. Computation of singular solutions in elliptic problems and elasticity , 1987 .
[23] V. Maz'ya,et al. ASYMPTOTIC EXPANSIONS OF THE EIGENVALUES OF BOUNDARY VALUE PROBLEMS FOR THE LAPLACE OPERATOR IN DOMAINS WITH SMALL HOLES , 1985 .
[24] V. Maz'ya,et al. ON THE SINGULARITIES OF SOLUTIONS OF THE DIRICHLET PROBLEM IN THE EXTERIOR OF A SLENDER CONE , 1985 .
[25] E. Sternberg,et al. Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity , 1980 .
[26] A. Il'in. A BOUNDARY VALUE PROBLEM FOR THE ELLIPTIC EQUATION OF SECOND ORDER IN A DOMAIN WITH A NARROW SLIT. 1. THE TWO-DIMENSIONAL CASE , 1976 .
[27] J. Lions,et al. Problèmes aux limites non homogènes (VI) , 1963 .
[28] T. Lewiński,et al. Topological Derivative for Nucleation of Non-Circular Voids , 1999 .
[29] Lidia Jackowska-Strumiłło,et al. The Topological Derivative Method and Artificial Neural Networks for Numerical Solution of Shape Inverse Problems , 1999 .
[30] I. Argatov. Integral characteristics of rigid inclusions and cavities in the two-dimensional theory of elasticity , 1998 .
[31] S. Nazarov,et al. The errors due to approximating unbounded elastic bodies by bounded ones , 1998 .
[32] G. Allaire,et al. Shape optimization by the homogenization method , 1997 .
[33] A. Campbell,et al. Une justification de la méthode de raccordement des développements asymptotiques appliquée a un problème de plaque en flexion. Estimation de la matrice d'impédance , 1997 .
[34] Campbell Alain,et al. Comportement d'une plaque élastique dont une petite région est rigide et animée d'un mouvement vibratoire. Etude asymptotique de la matrice d'impédance , 1995 .
[35] M. Kachanov,et al. Effective Moduli of Solids With Cavities of Various Shapes , 1994 .
[36] S. Nazarov. Concentrated masses problems for a spatial elastic body , 1993 .
[37] J. Zolésio,et al. Introduction to shape optimization : shape sensitivity analysis , 1992 .
[38] M. Delfour,et al. Shapes and Geometries: Analysis, Differential Calculus, and Optimization , 1987 .
[39] S. Ozawa,et al. Singular Hadamard's variation of domains and eigenvalues of the Laplacian, II , 1980 .
[40] V. A. Kondrat'ev,et al. Boundary problems for elliptic equations in domains with conical or angular points , 1967 .
[41] M. V. Dyke,et al. The Gulf Stream: A Physical and Dynamical Description. By HENRY STOMMEL. Second edition. 248 pp. $6.00. , 1965, Journal of Fluid Mechanics.
[42] V. Smirnov,et al. A course of higher mathematics , 1964 .
[43] G. Pólya,et al. Isoperimetric inequalities in mathematical physics , 1951 .
[44] G. Szegö,et al. Virtual mass and polarization , 1949 .