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, SN - 9783110430417 PY - 2017/// CY - Berlin : PB - De Gruyter, KW - UDJG KW - DE-Matematică N1 - Frontmatter; 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; 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://www-degruyter-com.am.e-nformation.ro/document/doi/10.1515/9783110430417/html ER -