Topological Optimization and Optimal Transport : In the Applied Sciences
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| Title: | Topological Optimization and Optimal Transport : In the Applied Sciences |
|---|---|
| Description: | 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. ContentsPart 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 |
| Authors: | Maïtine Bergounioux, Édouard Oudet, Martin Rumpf, Guillaume Carlier, Thierry Champion, Filippo Santambrogio |
| Resource Type: | eBook. |
| Subjects: | Transportation problems (Programming) |
| Categories: | MATHEMATICS / Optimization, COMPUTERS / Artificial Intelligence / Computer Vision & Pattern Recognition, COMPUTERS / Programming / Algorithms, MATHEMATICS / Differential Equations / General, MATHEMATICS / Geometry / General, MATHEMATICS / Mathematical Analysis, TECHNOLOGY & ENGINEERING / Automation |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-pdf Text: Availability: 0 |
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| Header | DbId: nlebk DbLabel: eBook Collection (EBSCOhost) An: 1566038 RelevancyScore: 1077 AccessLevel: 6 PubType: eBook PubTypeId: ebook PreciseRelevancyScore: 1077.00524902344 |
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| Items | – Name: Title Label: Title Group: Ti Data: Topological Optimization and Optimal Transport : In the Applied Sciences – Name: Abstract Label: Description Group: Ab Data: 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. ContentsPart 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 – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Maïtine+Bergounioux%22">Maïtine Bergounioux</searchLink><br /><searchLink fieldCode="AR" term="%22Édouard+Oudet%22">Édouard Oudet</searchLink><br /><searchLink fieldCode="AR" term="%22Martin+Rumpf%22">Martin Rumpf</searchLink><br /><searchLink fieldCode="AR" term="%22Guillaume+Carlier%22">Guillaume Carlier</searchLink><br /><searchLink fieldCode="AR" term="%22Thierry+Champion%22">Thierry Champion</searchLink><br /><searchLink fieldCode="AR" term="%22Filippo+Santambrogio%22">Filippo Santambrogio</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Transportation+problems+%28Programming%29%22">Transportation problems (Programming)</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Optimization%22">MATHEMATICS / Optimization</searchLink><br /><searchLink fieldCode="ZK" term="%22COMPUTERS+%2F+Artificial+Intelligence+%2F+Computer+Vision+%26+Pattern+Recognition%22">COMPUTERS / Artificial Intelligence / Computer Vision & Pattern Recognition</searchLink><br /><searchLink fieldCode="ZK" term="%22COMPUTERS+%2F+Programming+%2F+Algorithms%22">COMPUTERS / Programming / Algorithms</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Differential+Equations+%2F+General%22">MATHEMATICS / Differential Equations / General</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Geometry+%2F+General%22">MATHEMATICS / Geometry / General</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Mathematical+Analysis%22">MATHEMATICS / Mathematical Analysis</searchLink><br /><searchLink fieldCode="ZK" term="%22TECHNOLOGY+%26+ENGINEERING+%2F+Automation%22">TECHNOLOGY & ENGINEERING / Automation</searchLink> |
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| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 519.6 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Transportation problems (Programming) Type: general Titles: – TitleFull: Topological Optimization and Optimal Transport : In the Applied Sciences Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Maïtine Bergounioux – PersonEntity: Name: NameFull: Édouard Oudet – PersonEntity: Name: NameFull: Martin Rumpf – PersonEntity: Name: NameFull: Guillaume Carlier – PersonEntity: Name: NameFull: Thierry Champion – PersonEntity: Name: NameFull: Filippo Santambrogio – PersonEntity: Name: NameFull: Maïtine Bergounioux – PersonEntity: Name: NameFull: Édouard Oudet – PersonEntity: Name: NameFull: Martin Rumpf – PersonEntity: Name: NameFull: Guillaume Carlier – PersonEntity: Name: NameFull: Thierry Champion – PersonEntity: Name: NameFull: Filippo Santambrogio IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2017 – D: 12 M: 10 Type: profile Y: 2017 Identifiers: – Type: isbn-print Value: 9783110439267 – Type: isbn-electronic Value: 9783110430417 – Type: isbn-electronic Value: 9783110430509 Numbering: – Type: volume Value: 00017 Titles: – TitleFull: Topological Optimization and Optimal Transport : In the Applied Sciences Type: main |
| ResultId | 1 |
