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Topological Optimization and Optimal Transport
In the Applied Sciences
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Edited by:
Maïtine Bergounioux
Language:
English
Published/Copyright:
2017
About this book
By discussing topics such as shape representations, relaxation theory and optimal transport, trends and synergies of mathematical tools required for optimization of geometry and topology of shapes are explored. Furthermore, applications in science and engineering, including economics, social sciences, biology, physics and image processing are covered.
Contents
Part I
- Geometric issues in PDE problems related to the infinity Laplace operator
- Solution of free boundary problems in the presence of geometric uncertainties
- Distributed and boundary control problems for the semidiscrete Cahn–Hilliard/Navier–Stokes system with nonsmooth Ginzburg–Landau energies
- High-order topological expansions for Helmholtz problems in 2D
- On a new phase field model for the approximation of interfacial energies of multiphase systems
- Optimization of eigenvalues and eigenmodes by using the adjoint method
- Discrete varifolds and surface approximation
Part II
- Weak Monge–Ampere solutions of the semi-discrete optimal transportation problem
- Optimal transportation theory with repulsive costs
- Wardrop equilibria: long-term variant, degenerate anisotropic PDEs and numerical approximations
- On the Lagrangian branched transport model and the equivalence with its Eulerian formulation
- On some nonlinear evolution systems which are perturbations of Wasserstein gradient flows
- Pressureless Euler equations with maximal density constraint: a time-splitting scheme
- Convergence of a fully discrete variational scheme for a thin-film equatio
- Interpretation of finite volume discretization schemes for the Fokker–Planck equation as gradient flows for the discrete Wasserstein distance
Author / Editor information
M. Bergounioux; É. Oudet; M. Rumpf; G. Carlier; T. Champion; F. Santambrogio.
Topics
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Publicly Available Download PDF |
I |
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Publicly Available Download PDF |
V |
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Part I
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Graziano Crasta and Ilaria Fragalà Requires Authentication Unlicensed Licensed Download PDF |
3 |
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H. Harbrecht and M. D. Peters Requires Authentication Unlicensed Licensed Download PDF |
20 |
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M. Hintermüller and D. Wegner Requires Authentication Unlicensed Licensed Download PDF |
40 |
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Victor A. Kovtunenko Requires Authentication Unlicensed Licensed Download PDF |
64 |
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Elie Bretin and Simon Masnou Requires Authentication Unlicensed Licensed Download PDF |
123 |
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Anca-Maria Toader and Cristian Barbarosie Requires Authentication Unlicensed Licensed Download PDF |
142 |
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Blanche Buet, Gian Paolo Leonardi and Simon Masnou Requires Authentication Unlicensed Licensed Download PDF |
159 |
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Part II
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Guillaume Carlier, Thierry Champion and Filippo Santambrogio Requires Authentication Unlicensed Licensed Download PDF |
173 |
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Jean-David Benamou and Brittany D. Froese Requires Authentication Unlicensed Licensed Download PDF |
175 |
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Simone Di Marino, Augusto Gerolin and Luca Nenna Requires Authentication Unlicensed Licensed Download PDF |
204 |
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Roméo Hatchi Requires Authentication Unlicensed Licensed Download PDF |
257 |
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Paul Pegon Requires Authentication Unlicensed Licensed Download PDF |
281 |
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Maxime Laborde Requires Authentication Unlicensed Licensed Download PDF |
304 |
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B. Maury and A. Preux Requires Authentication Unlicensed Licensed Download PDF |
333 |
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Horst Osberger and Daniel Matthes Requires Authentication Unlicensed Licensed Download PDF |
356 |
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F. Al Reda and B. Maury Requires Authentication Unlicensed Licensed Download PDF |
400 |
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Requires Authentication Unlicensed Licensed Download PDF |
417 |
Publishing information
Pages and Images/Illustrations in book
eBook published on:
August 7, 2017
eBook ISBN:
9783110430417
Hardcover published on:
August 7, 2017
Hardcover ISBN:
9783110439267
Pages and Images/Illustrations in book
Front matter:
12
Main content:
420
Illustrations:
105
Keywords for this book
Shape representations; shape optimization; relaxation theory; optimal transport
Audience(s) for this book
Researchers in mathematics (especially in optimization), engineering and computer science.
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
