The finite element solution of elliptic and parabolic equations using simplicial isoparametric elements
Nedoma, Josef
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 13 (1979), p. 257-289 / Harvested from Numdam
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@article{M2AN_1979__13_3_257_0,
     author = {Nedoma, Josef},
     title = {The finite element solution of elliptic and parabolic equations using simplicial isoparametric elements},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {13},
     year = {1979},
     pages = {257-289},
     mrnumber = {543935},
     zbl = {0413.65080},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_1979__13_3_257_0}
}

Nedoma, Josef. The finite element solution of elliptic and parabolic equations using simplicial isoparametric elements. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 13 (1979) pp. 257-289. http://gdmltest.u-ga.fr/item/M2AN_1979__13_3_257_0/

1. J. H. Bramble and S. R. Hilbert, Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation, S.I.A.M. J. Numer. Anal., Vol. 7, 1970, pp. 112-124. | MR 263214 | Zbl 0201.07803

2. J. H. Bramble and M. Zlámal, Triangular Elements in the Finite Element Method, Math. Comp., Vol. 24, 1970, pp. 809-820. | MR 282540 | Zbl 0226.65073

3. P. G. Ciarlet and P. A. Raviart, The Combined Effect of Curved Boundaries and Numerical Integration in Isoparametric Finite Element Methods, The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, A. K. Aziz, Ed., Academic Press, New York, 1972, pp. 409-474. | MR 421108 | Zbl 0262.65070

4. P. G. Ciarlet, The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam, 1977. | MR 520174 | Zbl 0383.65058

5. P. Henrici, Discrete Variable Methods in Ordinary Differential Equations, Wiley, New York-London, 1962. | MR 135729 | Zbl 0112.34901

6. J. Nečas, Les méthodes directes en théorie des équations elliptiques, Masson, Paris, 1967. | MR 227584

7. J. Nedoma, The Finite Element solution of Parabolic Equations, Aplikace matematiky, svazek, 23, 1978, Č 6, pp. 408-438. | MR 508545 | Zbl 0427.65075

8. P. A. Raviart, The Use of Numerical Integration in Finite Element Methods for Solving Parabolic Equations, Conference on Numerical Analysis, Dublin, August 14-18, 1972. | MR 345428 | Zbl 0293.65086

9. G. Strang, Approximation in the Finite Element Method, Numer. Math., Vol. 19, 1972, pp. 81-98. | MR 305547 | Zbl 0221.65174

10. M. Zlámal, Finite Element Multistep Discretizations of Parabolic Boundary Value Problems, Mathematics of Computation, Vol. 29, No. 130, April 1975, pp. 350-359. | MR 371105 | Zbl 0302.65081

11. M. Zlámal, Curved Elements in the Finite Element Method I. S.I.A.M. J. Numer. Anal., Vol. 10, No. 1, March 1973. | MR 395263 | Zbl 0285.65067

12. M. Zlámal, Curved Elements in the Finite Element Method II. S.I.A.M. J. Numer. Anal., Vol. 11, No. 2, April 1974. | MR 343660 | Zbl 0277.65064

13. M. Zlámal, Finite Element Methods for Parabolic Equations. Mathematics of Computation, Vol. 28, No. 126, April 1974, pp. 393-409. | MR 388813 | Zbl 0296.65054

14. M. Zlámal, Finite Element Methods for Nonlinear Parabolic Equations, R.A.I.R.O., Vol. 11, No. 1, 1971, pp. 93-107. | Numdam | MR 502073 | Zbl 0385.65049

15. A. Ženišek, Curved Triangular Finite C m -Elements, Aplikace matematiky, svazek 23, 1978, Č. 5, pp. 346-377. | MR 502072 | Zbl 0404.35041