A robust finite element method for nonhomogeneous Dirichlet problems in domains with curved boundaries
Journal Article
·
· Mathematics of Computation; (United States)
In this paper the authors consider a simple finite element method on an approximately polygonal domain using linear elements. The Dirichlet data are transferred in a natural way and the resulting linear system can be solved using multigrid techniques. Their analysis takes into account the change in domain and data transfer, and optimal-error estimates are obtained that are robust in the regularity of the boundary data provided they are at least square integrable. It is proved that the natural extension of this finite element approximation to the original domain is optimal-order accurate.
- DOE Contract Number:
- AC02-76CH00016
- OSTI ID:
- 6602007
- Journal Information:
- Mathematics of Computation; (United States), Journal Name: Mathematics of Computation; (United States) Vol. 63:207; ISSN 0025-5718; ISSN MCMPAF
- Country of Publication:
- United States
- Language:
- English
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