Lie splitting on polygonal domains
نویسندگان
چکیده
منابع مشابه
Homogenization in polygonal domains
We consider the homogenization of elliptic systems with ε-periodic coefficients. Classical two-scale approximation yields a O(ε) error inside the domain. We discuss here the existence of higher order corrections, in the case of general polygonal domains. The corrector depends in a non-trivial way on the boundary. Our analysis extends substantially previous results obtained for polygonal domains...
متن کاملStrichartz Estimates on Exterior Polygonal Domains
Using a new local smoothing estimate of the first and third authors, we prove local-in-time Strichartz and smoothing estimates without a loss exterior to a large class of polygonal obstacles with arbitrary boundary conditions and global-in-time Strichartz estimates without a loss exterior to a large class of polygonal obstacles with Dirichlet boundary conditions. In addition, we prove a global-...
متن کاملStress computations on perforated polygonal domains ∗
A high order accurate and fast algorithm is constructed for 2D stress problems on multiply connected finite domains. The algorithm is based on a Fredholm integral equation of the second kind with non-singular operators. The unknown quantity is the limit of an analytic function. On polygonal domains there is a trade-off between stability and rate of convergence. A moderate amount of precomputati...
متن کاملAnisotropic Franklin bases on polygonal domains
R 2 are explored. Mild conditions are imposed on the triangulations which prevent them from deterioration and at the same time allow for a lot of flexibility and, in particular, arbitrarily sharp angles. It is shown that such anisotropic Franklin systems are Schauder bases for C and L1, and unconditional bases for Lp (1 < p < ∞) and the corresponding Hardy spaces H1. It is also proved that the ...
متن کاملOn the Geodesic Diameter in Polygonal Domains∗
A polygonal domain P with n corners V and h holes is a connected polygonal region of genus h whose boundary consists of h + 1 closed chains of n total line segments. The holes and the outer boundary of P are regarded as obstacles. Then, the geodesic distance d(p, q) between any two points p, q in polygonal domain P is defined to be the (Euclidean) length of a shortest obstacle-avoiding path bet...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: PAMM
سال: 2011
ISSN: 1617-7061
DOI: 10.1002/pamm.201110382