Finite element interpolation of nonsmooth functions satisfyingb oundaryc onditions

Mathematics of Computation

Volumn 54, Issue 190, 1990, Pages 483-493

  Scott, L Ridgway ^a   Zhang, Shangyou ^b  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84966200902     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1990-1011446-7     Document Type: Article

References (7)

1. R. A. Adams, Sobolev spaces, Academic Press, New York, 1975.
2. D. N. Arnold, L. R. Scott, and M. Vogelius, Regular inversion of the divergence operator with Dirichlet boundary conditions on a polygon, Ann. Scuola Norm. Sup. Pisa Cl. Sei 15(1988), 169-192.
3. P. G. Ciarlet, The finite element method for elliptic problems, North-Holland, Amsterdam, 1978. 4. P. Clement, Approximation by finite element functions using local regularization, RAIRO Anal. Numér. R-2 (1975), 77-84.
4. T. Dupont and R. Scott, Polynomial approximation of functions in Sobolev spaces, Math. Comp. 34(1980), 441-463.
5. J. Necas, Les méthodes directes en théorie des équations elliptiques, Academia, Prague, 1967.
6. P. Saavedra and L. R. Scott, A variational formulation of free boundary problems, submitted to Math. Comp.
7. S. Zhang, Multi-level iterative techniques, thesis, Pennsylvania State University, 1988.