Topological Optimization and Optimal Transport : In the Applied Sciences
Language: English
Published by De Gruyter, 2017
Series: Book 17 of 28 - Radon Series on Computational and Applied Mathematics
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 161.36
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Seller Inventory # 9783110439267
- Title
- Topological Optimization and Optimal Transport : In the Applied Sciences
- Author
- Thierry Champion
- Publisher
- De Gruyter
- Publication year
- 2017
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 3110439263
- ISBN 13
- 9783110439267
- Item weight
- 996 grams
- Dimensions
- 246x175x36 mm
- Series
- Book 17 of 28: Radon Series on Computational and Applied Mathematics
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
"Synopsis" may belong to another edition of this title.
About the Author
M. Bergounioux; É. Oudet; M. Rumpf; G. Carlier; T. Champion; F. Santambrogio.
"About the title" may belong to another edition of this title.
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