Local interpolation by a quadratic Lagrange finite element in 1D
Dalík, Josef
Archivum Mathematicum, Tome 042 (2006), p. 103-114 / Harvested from Czech Digital Mathematics Library
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We analyse the error of interpolation of functions from the space $H^3(a,c)$ in the nodes $a

Publié le : 2006-01-01
Classification:  41A05,  65D05,  65L60 
@article{107986,
     author = {Josef Dal\'\i k},
     title = {Local interpolation by a quadratic Lagrange finite element in 1D},
     journal = {Archivum Mathematicum},
     volume = {042},
     year = {2006},
     pages = {103-114},
     zbl = {1164.65307},
     mrnumber = {2240186},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107986}
}

Dalík, Josef. Local interpolation by a quadratic Lagrange finite element in 1D. Archivum Mathematicum, Tome 042 (2006) pp. 103-114. http://gdmltest.u-ga.fr/item/107986/

Hutson V. C. L.; Pym J. S. Applications of Functional Analysis and Operator Theory, Academic Press, London, 1980. (1980) | MR 0569354 | Zbl 0426.46009

Křížek M.; Neittaanmäki P. Finite Element Approximation of Variational Problems and Applications, Longman Scientific & Technical, Essex, 1990. (1990) | MR 1066462 | Zbl 0708.65106

Nečas J. Les méthodes directes en théorie des équations elliptiques, Masson et C${}^{ie}$, Éditeurs, Paris; Academia, Éditeurs, Prague, 1967. (1967) | MR 0227584

Rudin W. Principles of Mathematical Analysis, McGraw-Hill, New York, 1964. (1964) | MR 0166310 | Zbl 0148.02903

Strang G.; Fix G. J. An Analysis of the Finite Element Method, Prentice Hall, Englewood Clifs, N. J., 1973. (1973) | MR 0443377 | Zbl 0356.65096

Ženíšek A. Nonlinear Elliptic and Evolution Problems and Their Finite Element Approximations, Academic Press, London, 1990. (1990) | MR 1086876