Green`s Functions: Potential Fields on Surfaces, Melnikov Yuri A., Borodin Volodymyr N.

Автор: Friedel Hartmann
Название: Green`s Functions and Finite Elements
ISBN: 3642429238 ISBN-13(EAN): 9783642429231
Издательство: Springer
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Цена: 16977.00 р.
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Описание: This book shows how Finite Elements fulfill the strategy of Green`s functions, helping the reader to better assess solutions of standard programs and to find the optimal model of a given problem. Covers discretization error and "goal oriented refinement."

Автор: Yuri A. Melnikov; Volodymyr N. Borodin
Название: Green`s Functions
ISBN: 3319572423 ISBN-13(EAN): 9783319572420
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book is comprehensive in its classical mathematical physics presentation, providing the reader with detailed instructions for obtaining Green`s functions from scratch.

Автор: Vladimir Maz`ya; Alexander Movchan; Michael Nieves
Название: Green`s Kernels and Meso-Scale Approximations in Perforated Domains
ISBN: 3319003569 ISBN-13(EAN): 9783319003566
Издательство: Springer
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Цена: 6986.00 р.
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Описание:

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.