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Green's Kernels and Meso-Scale Approximations in Perforated Domains
Maz'Ya, Vladimir; Movchan, A.B.; Nieves, Michael
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Description for Green's Kernels and Meso-Scale Approximations in Perforated Domains
Paperback. Series: Lecture Notes in Mathematics. Num Pages: 275 pages, 7 black & white illustrations, 10 colour illustrations, 2 black & white tables, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational. Dimension: 153 x 240 x 16. Weight in Grams: 434.
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. Asymptotic approximations offer an alternative, efficient solution.
Green’s function is considered here as the main object of study rather than a tool for generating solutions of specific boundary value problems. The uniformity of the asymptotic approximations is the principal point of attention. We also show substantial links between Green’s functions and solutions of boundary value problems for ... Read more
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. Asymptotic approximations offer an alternative, efficient solution.
Green’s function is considered here as the main object of study rather than a tool for generating solutions of specific boundary value problems. The uniformity of the asymptotic approximations is the principal point of attention. We also show substantial links between Green’s functions and solutions of boundary value problems for ... Read more
Product Details
Format
Paperback
Publication date
2013
Publisher
Springer International Publishing AG Switzerland
Number of pages
272
Condition
New
Series
Lecture Notes in Mathematics
Number of Pages
258
Place of Publication
Cham, Switzerland
ISBN
9783319003566
SKU
V9783319003566
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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