Green's Kernels and Meso-Scale Approximations in Perforated Domains
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- Artikel-Nr.: 10437659
Beschreibung
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.
Eigenschaften
Breite: | 156 |
Gewicht: | 428 g |
Höhe: | 236 |
Länge: | 17 |
Seiten: | 258 |
Sprachen: | Englisch |
Autor: | Alexander Movchan, Michael Nieves, Vladimir Maz'ya |
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