An estimate of discrete dirivative Green's functions on concave polysonal domain
Han Ming-hua · Journal of Guizhou Normal University · 2008
Using weight function idea and the property of regular derivative Green's functions,we proved an estimate of discrete derivative Green's functions for elliptic boundary value problems on concave polysonal domain, |ZGhZ|1,p≤Ch-2+2/p|lnh|5/2,2/(βM+1)p2 ChβM-1-e,1≤p≤2/(βM+1),e0,in which the constant C is no relationship with h,βM=π/αM,and αM is the largest interior angle of concave polysonal domain.From which we can obtain a series of conclusions about the finite element approximation on concave polysonal domain.