This text, based on the author's teaching at Ecole Polytechnique, introduces the reader to the world of mathematical modelling and numerical simulation. Covering the finite difference method; variational formulation of elliptic problems; Sobolev spaces; elliptical problems; the finite element method; Eigenvalue problems; evolution problems; optimality conditions and algorithms and methods of operational research, and including a several exercises throughout, this is an ideal text for advanced undergraduate students and graduates in applied mathematics, engineering, computer science, and the...
This text, based on the author's teaching at Ecole Polytechnique, introduces the reader to the world of mathematical modelling and numerical simulatio...
This book distinguishes itself from the many other textbooks on the topic of linear algebra by including mathematical and computational chapters along with examples and exercises with Matlab. In recent years, the use of computers in many areas of engineering and science has made it essential for students to get training in numerical methods and computer programming. Here, the authors use both Matlab and SciLab software as well as covering core standard material. It is intended for libraries; scientists and researchers; pharmaceutical industry.
This book distinguishes itself from the many other textbooks on the topic of linear algebra by including mathematical and computational chapters al...
The topic of this book is homogenization theory and its applications to optimal design in the conductivity and elasticity settings. Its purpose is to give a self-contained account of homogenization theory and explain how it applies to solving optimal design problems, from both a theoretical and a numerical point of view. The application of greatest practical interest tar- geted by this book is shape and topology optimization in structural design, where this approach is known as the homogenization method. Shape optimization amounts to finding the optimal shape of a domain that, for example,...
The topic of this book is homogenization theory and its applications to optimal design in the conductivity and elasticity settings. Its purpose is to ...
"Conception optimale des structures" est une introduction a la conception optimale de structures, appelee aussi optimisation de formes. Il est principalement destine a un public mixte de mathematiciens appliques et de mecaniciens que relient un meme interet pour les applications numeriques. Il traite de tous les aspects de l'optimisation de formes, parametrique, geometrique et topologique, et fait une large place aux algorithmes numeriques, methodes de gradient et methodes stochastiques (avec une contribution originale de Marc Schoenauer pour ce dernier point). En particulier, la plupart...
"Conception optimale des structures" est une introduction a la conception optimale de structures, appelee aussi optimisation de formes. Il est prin...
The topic of this book is homogenization theory and its applications to optimal design in the conductivity and elasticity settings. Its purpose is to give a self-contained account of homogenization theory and explain how it applies to solving optimal design problems, from both a theoretical and a numerical point of view. The application of greatest practical interest tar- geted by this book is shape and topology optimization in structural design, where this approach is known as the homogenization method. Shape optimization amounts to finding the optimal shape of a domain that, for example,...
The topic of this book is homogenization theory and its applications to optimal design in the conductivity and elasticity settings. Its purpose is to ...
This book distinguishes itself from the many other textbooks on the topic of linear algebra by including mathematical and computational chapters along with examples and exercises with Matlab. In recent years, the use of computers in many areas of engineering and science has made it essential for students to get training in numerical methods and computer programming. Here, the authors use both Matlab and SciLab software as well as covering core standard material. It is intended for libraries; scientists and researchers; pharmaceutical industry.
This book distinguishes itself from the many other textbooks on the topic of linear algebra by including mathematical and computational chapters al...
