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An Introduction to the Topological Derivative Method / Antonio André Novotny, Jan Sokołowski
| An Introduction to the Topological Derivative Method / Antonio André Novotny, Jan Sokołowski |
| Autore | Novotny, Antonio André |
| Pubbl/distr/stampa | Cham, : Springer, 2020 |
| Descrizione fisica | x, 114 p. : ill. ; 24 cm |
| Altri autori (Persone) | Sokołowski, Jan |
| Soggetto topico |
49-XX - Calculus of variations and optimal control; optimization [MSC 2020]
65-XX - Numerical analysis [MSC 2020] 65K10 - Numerical optimization and variational techniques [MSC 2020] 49J20 - Existence theories for optimal control problems involving partial differential equations [MSC 2020] 90-XX - Operations research, mathematical programming [MSC 2020] 49Q10 - Optimization of shapes other than minimal surfaces [MSC 2020] 94A08 - Image processing (compression, reconstruction, etc.) in information and communication theory [MSC 2020] 35J20 - Variational methods for second-order elliptic equations [MSC 2020] 49Q12 - Sensitivity analysis for optimization problems on manifolds [MSC 2020] 74A45 - Theories of fracture and damage [MSC 2020] 54C56 - Shape theory in general topology [MSC 2020] |
| Soggetto non controllato |
Asymptotic analysis
Necessary optimality condition Nonconvex optimization Partial differential equations Sensitivity analysis Shape Optimization Topological derivatives Topology optimization |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0248682 |
Novotny, Antonio André
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| Cham, : Springer, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
An Introduction to the Topological Derivative Method / Antonio André Novotny, Jan Sokołowski
| An Introduction to the Topological Derivative Method / Antonio André Novotny, Jan Sokołowski |
| Autore | Novotny, Antonio André |
| Pubbl/distr/stampa | Cham, : Springer, 2020 |
| Descrizione fisica | x, 114 p. : ill. ; 24 cm |
| Altri autori (Persone) | Sokołowski, Jan |
| Soggetto topico |
35J20 - Variational methods for second-order elliptic equations [MSC 2020]
49-XX - Calculus of variations and optimal control; optimization [MSC 2020] 49J20 - Existence theories for optimal control problems involving partial differential equations [MSC 2020] 49Q10 - Optimization of shapes other than minimal surfaces [MSC 2020] 49Q12 - Sensitivity analysis for optimization problems on manifolds [MSC 2020] 54C56 - Shape theory in general topology [MSC 2020] 65-XX - Numerical analysis [MSC 2020] 65K10 - Numerical optimization and variational techniques [MSC 2020] 74A45 - Theories of fracture and damage [MSC 2020] 90-XX - Operations research, mathematical programming [MSC 2020] 94A08 - Image processing (compression, reconstruction, etc.) in information and communication theory [MSC 2020] |
| Soggetto non controllato |
Asymptotic Analysis
Necessary optimality condition Nonconvex optimization Partial Differential Equations Sensitivity Analysis Shape Optimization Topological derivatives Topology Optimization |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00248682 |
|
Novotny, Antonio André
|
||
| Cham, : Springer, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
New trends in shape optimization / Aldo Pratelli, Günter Leugering editors
| New trends in shape optimization / Aldo Pratelli, Günter Leugering editors |
| Pubbl/distr/stampa | [Cham], : Birkhäuser, : Springer, 2015 |
| Descrizione fisica | VIII, 314 p. : ill. ; 24 cm |
| Soggetto topico |
35J25 - Boundary value problems for second-order elliptic equations [MSC 2020]
35R35 - Free boundary problems for PDEs [MSC 2020] 49Q20 - Variational problems in a geometric measure-theoretic setting [MSC 2020] 35P15 - Estimation of eigenvalues in context of PDEs [MSC 2020] 65N30 - Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods for boundary value problems involving PDEs [MSC 2020] 45Cxx - Eigenvalue problems for integral equations [MSC 2020] 74K20 - Plates [MSC 2020] 78A50 - Antennas, wave-guides in optics and electromagnetic theory [MSC 2020] 49J45 - Methods involving semicontinuity and convergence; relaxation [MSC 2020] 35J40 - Boundary value problems for higher-order elliptic equations [MSC 2020] 53A10 - Minimal surfaces in differential geometry, surfaces with prescribed mean curvature [MSC 2020] 81Q05 - Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics [MSC 2020] 49Rxx - Variational methods for eigenvalues of operators [MSC 2020] 65D15 - Algorithms for approximation of functions [MSC 2020] 35B20 - Perturbations in context of PDEs [MSC 2020] 82B10 - Quantum equilibrium statistical mechanics (general) [MSC 2020] 35B40 - Asymptotic behavior of solutions to PDEs [MSC 2020] 49Q10 - Optimization of shapes other than minimal surfaces [MSC 2020] 76D07 - Stokes and related (Oseen, etc.) flows [MSC 2020] 47A75 - Eigenvalue problems for linear operators [MSC 2020] 35J57 - Boundary value problems for second-order elliptic systems [MSC 2020] 35Q61 - Maxwell equations [MSC 2020] 35R11 - Fractional partial differential equations [MSC 2020] 49Q12 - Sensitivity analysis for optimization problems on manifolds [MSC 2020] |
| Soggetto non controllato |
Constrained problems
Dirichlet Eigenvalues Elliptic equations and systems Nonlinear Partial Differential Equations Optimal shapes Partial differential equations |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0113492 |
| [Cham], : Birkhäuser, : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
New trends in shape optimization / Aldo Pratelli, Günter Leugering editors
| New trends in shape optimization / Aldo Pratelli, Günter Leugering editors |
| Pubbl/distr/stampa | [Cham], : Birkhäuser, : Springer, 2015 |
| Descrizione fisica | VIII, 314 p. : ill. ; 24 cm |
| Soggetto topico |
35B20 - Perturbations in context of PDEs [MSC 2020]
35B40 - Asymptotic behavior of solutions to PDEs [MSC 2020] 35J25 - Boundary value problems for second-order elliptic equations [MSC 2020] 35J40 - Boundary value problems for higher-order elliptic equations [MSC 2020] 35J57 - Boundary value problems for second-order elliptic systems [MSC 2020] 35P15 - Estimation of eigenvalues in context of PDEs [MSC 2020] 35Q61 - Maxwell equations [MSC 2020] 35R11 - Fractional partial differential equations [MSC 2020] 35R35 - Free boundary problems for PDEs [MSC 2020] 45Cxx - Eigenvalue problems for integral equations [MSC 2020] 47A75 - Eigenvalue problems for linear operators [MSC 2020] 49J45 - Methods involving semicontinuity and convergence; relaxation [MSC 2020] 49Q10 - Optimization of shapes other than minimal surfaces [MSC 2020] 49Q12 - Sensitivity analysis for optimization problems on manifolds [MSC 2020] 49Q20 - Variational problems in a geometric measure-theoretic setting [MSC 2020] 49Rxx - Variational methods for eigenvalues of operators [MSC 2020] 53A10 - Minimal surfaces in differential geometry, surfaces with prescribed mean curvature [MSC 2020] 65D15 - Algorithms for approximation of functions [MSC 2020] 65N30 - Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods for boundary value problems involving PDEs [MSC 2020] 74K20 - Plates [MSC 2020] 76D07 - Stokes and related (Oseen, etc.) flows [MSC 2020] 78A50 - Antennas, wave-guides in optics and electromagnetic theory [MSC 2020] 81Q05 - Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics [MSC 2020] 82B10 - Quantum equilibrium statistical mechanics (general) [MSC 2020] |
| Soggetto non controllato |
Constrained Problems
Dirichlet Eigenvalues Elliptic Equations and Systems Nonlinear Partial Differential Equations Optimal shapes Partial Differential Equations |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | This volume reflects “New Trends in Shape Optimization” and is based on a workshop of the same name organized at the Friedrich-Alexander University Erlangen-Nürnberg in September 2013. During the workshop senior mathematicians and young scientists alike presented their latest findings. The format of the meeting allowed fruitful discussions on challenging open problems, and triggered a number of new and spontaneous collaborations. As such, the idea was born to produce this book, each chapter of which was written by a workshop participant, often with a collaborator. The content of the individual chapters ranges from survey papers to original articles; some focus on the topics discussed at the Workshop, while others involve arguments outside its scope but which are no less relevant for the field today. As such, the book offers readers a balanced introduction to the emerging field of shape optimization. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00113492 |
| [Cham], : Birkhäuser, : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
New trends in shape optimization / Aldo Pratelli, Günter Leugering editors
| New trends in shape optimization / Aldo Pratelli, Günter Leugering editors |
| Edizione | [[Cham] : Birkhäuser : Springer, 2015] |
| Pubbl/distr/stampa | VIII, 314 p., : ill. ; 24 cm |
| Descrizione fisica | Pubblicazione in formato elettronico |
| Soggetto topico |
35J25 - Boundary value problems for second-order elliptic equations [MSC 2020]
35R35 - Free boundary problems for PDEs [MSC 2020] 49Q20 - Variational problems in a geometric measure-theoretic setting [MSC 2020] 35P15 - Estimation of eigenvalues in context of PDEs [MSC 2020] 65N30 - Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods for boundary value problems involving PDEs [MSC 2020] 45Cxx - Eigenvalue problems for integral equations [MSC 2020] 74K20 - Plates [MSC 2020] 78A50 - Antennas, wave-guides in optics and electromagnetic theory [MSC 2020] 49J45 - Methods involving semicontinuity and convergence; relaxation [MSC 2020] 35J40 - Boundary value problems for higher-order elliptic equations [MSC 2020] 53A10 - Minimal surfaces in differential geometry, surfaces with prescribed mean curvature [MSC 2020] 81Q05 - Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics [MSC 2020] 49Rxx - Variational methods for eigenvalues of operators [MSC 2020] 65D15 - Algorithms for approximation of functions [MSC 2020] 35B20 - Perturbations in context of PDEs [MSC 2020] 82B10 - Quantum equilibrium statistical mechanics (general) [MSC 2020] 35B40 - Asymptotic behavior of solutions to PDEs [MSC 2020] 49Q10 - Optimization of shapes other than minimal surfaces [MSC 2020] 76D07 - Stokes and related (Oseen, etc.) flows [MSC 2020] 47A75 - Eigenvalue problems for linear operators [MSC 2020] 35J57 - Boundary value problems for second-order elliptic systems [MSC 2020] 35Q61 - Maxwell equations [MSC 2020] 35R11 - Fractional partial differential equations [MSC 2020] 49Q12 - Sensitivity analysis for optimization problems on manifolds [MSC 2020] |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0113492 |
| VIII, 314 p., : ill. ; 24 cm | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Soggetto topico
- 49Q10 - Optimization of shapes other than minimal surfaces [MSC 2020] (5)
-
49Q12 - Sensitivity analysis for optimization problems on manifolds [MSC 2020]
(5)
- 35B20 - Perturbations in context of PDEs [MSC 2020] (3)
- 35B40 - Asymptotic behavior of solutions to PDEs [MSC 2020] (3)
- 35J25 - Boundary value problems for second-order elliptic equations [MSC 2020] (3)