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Green's Kernels and Meso-Scale Approximations in Perforated Domains [[electronic resource] /] / by Vladimir Maz'ya, Alexander Movchan, Michael Nieves
| Green's Kernels and Meso-Scale Approximations in Perforated Domains [[electronic resource] /] / by Vladimir Maz'ya, Alexander Movchan, Michael Nieves |
| Autore | Maz'ya Vladimir |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (XVII, 258 p. 17 illus., 10 illus. in color.) |
| Disciplina | 515.353 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Partial differential equations
Approximation theory Partial Differential Equations Approximations and Expansions |
| ISBN | 3-319-00357-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I: Green’s functions in singularly perturbed domains: Uniform asymptotic formulae for Green’s functions for the Laplacian in domains with small perforations -- Mixed and Neumann boundary conditions for domains with small holes and inclusions. Uniform asymptotics of Green’s kernels -- Green’s function for the Dirichlet boundary value problem in a domain with several inclusions -- Numerical simulations based on the asymptotic approximations -- Other examples of asymptotic approximations of Green’s functions in singularly perturbed domains -- Part II: Green’s tensors for vector elasticity in bodies with small defects: Green’s tensor for the Dirichlet boundary value problem in a domain with a single inclusion -- Green’s tensor in bodies with multiple rigid inclusions -- Green’s tensor for the mixed boundary value problem in a domain with a small hole -- Part III Meso-scale approximations. Asymptotic treatment of perforated domains without homogenization: Meso-scale approximations for solutions of Dirichlet problems -- Mixed boundary value problems in multiply-perforated domains. |
| Record Nr. | UNISA-996466611503316 |
Maz'ya Vladimir
|
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Green's Kernels and Meso-Scale Approximations in Perforated Domains / / by Vladimir Maz'ya, Alexander Movchan, Michael Nieves
| Green's Kernels and Meso-Scale Approximations in Perforated Domains / / by Vladimir Maz'ya, Alexander Movchan, Michael Nieves |
| Autore | Maz'ya Vladimir |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (XVII, 258 p. 17 illus., 10 illus. in color.) |
| Disciplina | 515.353 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Partial differential equations
Approximation theory Partial Differential Equations Approximations and Expansions |
| ISBN | 3-319-00357-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I: Green’s functions in singularly perturbed domains: Uniform asymptotic formulae for Green’s functions for the Laplacian in domains with small perforations -- Mixed and Neumann boundary conditions for domains with small holes and inclusions. Uniform asymptotics of Green’s kernels -- Green’s function for the Dirichlet boundary value problem in a domain with several inclusions -- Numerical simulations based on the asymptotic approximations -- Other examples of asymptotic approximations of Green’s functions in singularly perturbed domains -- Part II: Green’s tensors for vector elasticity in bodies with small defects: Green’s tensor for the Dirichlet boundary value problem in a domain with a single inclusion -- Green’s tensor in bodies with multiple rigid inclusions -- Green’s tensor for the mixed boundary value problem in a domain with a small hole -- Part III Meso-scale approximations. Asymptotic treatment of perforated domains without homogenization: Meso-scale approximations for solutions of Dirichlet problems -- Mixed boundary value problems in multiply-perforated domains. |
| Record Nr. | UNINA-9910733732503321 |
|
Maz'ya Vladimir
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||