" The art of structure is where to put the holes" Robert Le Ricolais, 1894-1977 This is a
completely revised, updated and expanded version of the book titled" Optimization of …

In the context of shape optimization, we seek minimizers of the sum of the elastic compliance
and of the weight of a solid structure under specified loading. This problem is known not to …

Sponsored by the Technical Committee on Structural Design of the Technical Administrative
Committee on Analysis and Computation of the Technical Activities Division of the Structural …

For a diffusion problem modeled by the p-Laplacian operator, we are interested in obtaining
numerically the two-phase material which maximizes the internal energy. We assume that …

We present a convergence analysis of a cell-based finite volume (FV) discretization scheme
applied to a problem of control in the coefficients of a generalized Laplace equation …

We study the problem of minimizing the first eigenvalue of the p-Laplacian operator for a two-
phase material in a bounded open domain Ω⊂ RN, N⩾ 2 assuming that the amount of the …

We consider multiple state optimal design problems with two isotropic materials from the
conductivity point of view. Since the classical solutions of these problems usually do not …

This thesis explores the theory and applications of analysis on fractals. In the first chapter,
we present the general theory, in particular, the specific differential operators on a particular …

UNIVERSIDAD DE CHILE FACULTAD DE CIENCIAS FÍSICAS Y MATEMÁTICAS
DEPARTAMENTO DE INGENIERÍA MATEMÁTICA ESTUDIO DE PROBLEMAS D Page 1 …

In this thesis, we study numerical solutions for optimal design problems. In such problems,
the goal is to find an arrangement of given materials within the domain which minimizes (or …