On the Best Constant in the Error Bound for the H10-Projection into Piecewise Polynomial Spaces

Journal of Approximation Theory

Volumn 93, Issue 3, 1998, Pages 491-500

  Nakao, Mitsuhiro T ^a   Yamamoto, Nobito ^a   Kimura, Seiji ^a  

^a KYUSHU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000900255     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1998.3172     Document Type: Article

References (10)

1. R. P. Agarwal and J. Y. Wong, Explicit error bounds for the derivatives of piecewise-Lidstone interpolation, J. Comput. Appl. Math. 58 (1995), 67-81.
2. E. F. Beckenbach and R. Bellman, "Inequalities," Springer-Verlag, Berlin, 1965.
3. P. G. Ciarlet, "The Finite Element Method for Elliptic Problems," North-Holland, Amsterdam, 1978.
4. P. Grisvard, "Elliptic Problems in Nonsmooth Domains," Pitman, London, 1985.
5. C. Johnson, "Numerical Solution of Partial Differential Equations by the Finite Element Method," Cambridge Univ. Press, Cambridge, 1987.
6. -1 residual iteration, Computing Suppl. 9 (1993), 161-173.
7. ∞ error bounds for the finite element solutions of nonlinear elliptic problems, J. Math. Anal. Appl. 217 (1998), 246-262.
8. M. H. Schultz, "Spline Analysis," Prentice Hall, London, 1973.
9. Y. Watanabe and M. T. Nakao, Numerical verifications of solutions for nonlinear elliptic equations, Japan J. Indust. Appl. Math. 10 (1993), 165-178.
10. N. Yamamoto and M. T. Nakao, Numerical verifications for solutions to elliptic equations using residual iterations with higher order finite element, J. Comput. Appl. Math. 60 (1995), 271-279.