ISSN:
1572-9265
Keywords:
multigrid methods
;
domains of complicated shape
;
65N55
;
65N30
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract It is shown that, with homogeneous Dirichlet boundary conditions, the condition number of finite element discretization matrices remains uniformly bounded independent of the size of the boundary elements provided that the size of the elements increases with their distance to the boundary. This fact allows the construction of simple multigrid methods of optimal complexity for domains of nearly arbitrary shape.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1019157313043
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