Looks at the history of the calculus of variations, describes the connection between soap films and mathematical structure, and discusses the design of buildings and living things
In this work these problems are treated from both the classical and modern perspectives and target a broad audience of graduate students in pure and applied mathematics, as well as engineers requiring a solid mathematical basis for the ...
Inverse Problems 21(2), 547–564 (2005) Mazja, W.G., Nasarow, S.A., Plamenewski, B.A.: Asymptotics of solutions to elliptic boundary-value problems under a singular perturbation of the domain. Tbilisi University, Tbilisi (1981) (in ...
This book is motivated largely by a desire to solve shape optimization prob lems that arise in applications, particularly in structural mechanics and in the optimal control of distributed parameter systems.
This book highlights new developments in the wide and growing field of partial differential equations (PDE)-constrained optimization.
Farkas’ Lemma, and the study of polyhedral before culminating in a discussion of the Simplex Method. The book also addresses linear programming duality theory and its use in algorithm design as well as the Dual Simplex Method.
This book contains extended, in-depth presentations of the plenary talks from the 16th French-German-Polish Conference on Optimization, held in Kraków, Poland in 2013.
Presents the latest groundbreaking theoretical foundation to shape optimization in a form accessible to mathematicians, scientists and engineers.
The book is organized into six chapters that give a gradual and accessible presentation of the material, and a special effort is made to present numerous examples.
Each chapter in this marvelously illustrated book begins with a problem or puzzle and demonstrates how the solution can be derived using a host of artistic methods and media, including 3D printing, laser cutting, and computer-controlled ...
This book is devoted to the recent progress on the turnpike theory.