TY  - BOOK
AU  - Bergounioux,Maïtine
AU  - Oudet,Édouard
AU  - Rumpf,Martin
AU  - Carlier,Guillaume
AU  - Champion,Thierry
AU  - Santambrogio,Filippo
TI  - Topological Optimization and Optimal Transport: In the Applied Sciences
T2  - Radon Series on Computational and Applied Mathematics Series
SN  - 9783110430417
AV  - QA402.5.T676 2017 
U1  - 519.6 
PY  - 2017///
CY  - Berlin/Boston
PB  - Walter de Gruyter GmbH
KW  - Mathematical optimization
KW  - Electronic books
N1  - Intro -- Contents -- Part I -- 1. Geometric issues in PDE problems related to the infinity Laplace operator -- 2. Solution of free boundary problems in the presence of geometric uncertainties -- 3. Distributed and boundary control problems for the semidiscrete Cahn-Hilliard/Navier-Stokes system with nonsmooth Ginzburg-Landau energies -- 4. High-order topological expansions for Helmholtz problems in 2D -- 5. On a new phase field model for the approximation of interfacial energies of multiphase systems -- 6. Optimization of eigenvalues and eigenmodes by using the adjoint method -- 7. Discrete varifolds and surface approximation -- Part II -- Preface -- 8. Weak Monge-Ampère solutions of the semi-discrete optimal transportation problem -- 9. Optimal transportation theory with repulsive costs -- 10. Wardrop equilibria: long-term variant, degenerate anisotropic PDEs and numerical approximations -- 11. On the Lagrangian branched transport model and the equivalence with its Eulerian formulation -- 12. On some nonlinear evolution systems which are perturbations of Wasserstein gradient flows -- 13. Pressureless Euler equations with maximal density constraint: a time-splitting scheme -- 14. Convergence of a fully discrete variational scheme for a thin-film equation -- 15. Interpretation of finite volume discretization schemes for the Fokker-Planck equation as gradient flows for the discrete Wasserstein distance -- Index
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4911703
ER  -