New Trends in Shape Optimization / edited by Aldo Pratelli, Günter Leugering.

Format:

Book

Contributor:

Pratelli, Aldo, Editor.

Leugering, Günter, 1953- Editor.

Series:

International Series of Numerical Mathematics, 0373-3149 ; 166

Language:

English

Subjects (All):

Differential equations, Partial.

System theory.

Partial Differential Equations.

Systems Theory, Control.

Local Subjects:

Partial Differential Equations.

Systems Theory, Control.

Genre:

Conference papers and proceedings.

Physical Description:

1 online resource (312 p.)

Edition:

1st ed. 2015.

Place of Publication:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.

Language Note:

English

Summary:

This volume reflects “New Trends in Shape Optimization” and is based on a workshop of the same name organized at the Friedrich-Alexander University Erlangen-Nürnberg in September 2013. During the workshop senior mathematicians and young scientists alike presented their latest findings. The format of the meeting allowed fruitful discussions on challenging open problems, and triggered a number of new and spontaneous collaborations. As such, the idea was born to produce this book, each chapter of which was written by a workshop participant, often with a collaborator. The content of the individual chapters ranges from survey papers to original articles; some focus on the topics discussed at the Workshop, while others involve arguments outside its scope but which are no less relevant for the field today. As such, the book offers readers a balanced introduction to the emerging field of shape optimization.

Contents:

Davide Buoso: “A few spectral optimization problems for elliptic equations and systems”

Giuseppe Buttazzo: “Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity”.- Michel Delfour: “Metrics spaces of shapes and geometries from set parametrized functions”

Gianpaolo Leonardi

Dario Mazzoleni

Al-hassem Nayam: “Asymptotics of higher codimensional shapes and related problems”

Alberto Paganini: “Approximate Shape Gradients for Interface Problems”

Volker Schulz: “Towards a Lagrange-Newton Approach for PDE Constrained Shape Optimization”

Jan Sokolowski: “Shape optimization for nonlinear PDEs”

Kevin Sturm: “On the existence and identification of the shape derivative for PDE constrained problems”

Michiel Van den Berg

Bozhidar Velichkov

Alessandro Zilio: “Optimal regularity results for a partition problem involving".

Notes:

Description based upon print version of record.

Includes bibliographical references at the end of each chapters.

ISBN:

9783319175638

3319175637