Green's Kernels and Meso-Scale Approximations in Perforated Domains

• Main Authors: Maz'ya, Vladimir (Author), Movchan, Alexander (Author), Nieves, Michael (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Heidelberg : Springer International Publishing : Imprint: Springer, 2013.
• Series: Lecture Notes in Mathematics, 2077
• Subjects: Mathematics.; Approximation theory.; Partial differential equations.; Partial Differential Equations.; Approximations and Expansions.

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...