Diffraction at a Curved Grating: TM and TE Cases, Homogenization

Autor:	Toufic Abboud, Habib Ammari
Rok vydání:	1996
Předmět:	Dirichlet problem Helmholtz equation Applied Mathematics Mathematical analysis Neumann boundary condition Free boundary problem Geometry Boundary value problem Mixed boundary condition Robin boundary condition Poincaré–Steklov operator Analysis Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 202(3):995-1026
ISSN:	0022-247X
DOI:	10.1006/jmaa.1996.0357
Popis:	A hierarchy of effective boundary conditions is derived for a Helmholtz equation with Dirichlet or Neumann boundary conditions. These generalized impedance boundary conditions approximate the effect of thin dielectric layers with perfectly conducting inclusions covering an object. Well-posedness of the problems with these new boundary conditions is proved and optimal error estimates are given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c67ae5e07f67e3ff711960f04371876c Zobrazit plný text záznamu Full Text from ScienceDirect