Green's kernels and meso-scale approximations in perforated domains
There are a wide range of applications in physics and structural mechanics involving domains with singular perturbations of the boundary. Examples include perforated domains and bodies with defects of different types. The accurate direct numerical treatment of such problems remains a challenge. Asym...
Αποθηκεύτηκε σε:
| Κύριοι συγγραφείς: | , , |
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| Μορφή: | Livre numérique |
| Γλώσσα: | Anglais |
| Έκδοση: |
Cham :
Springer International Publishing
[20..].
Cham : Springer Nature |
| Έκδοση: | 1st ed. 2013. |
| Σειρά: | Lecture Notes in Mathematics
2077 |
| Θέματα: | |
| Διαθέσιμο Online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Σημείωση: |
L'impression du document génère 265 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Green's kernels and meso-scale approximations in perforated domains, Vladimir Maz'ya, Alexander Movchan, Michael Nieves, Heidelberg, Springer, 2013, 1 vol. (XVII-258 p.), Lecture notes in mathematics, 3-319-00356-9 |
Πίνακας περιεχομένων:
- 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