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Elliptic boundary value problems with nonvariational perturbation and the finite element method
Applications of Mathematics, Tome 18 (1973) no. 6, pp. 422-433
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This article deals with the estimate of exactness of finite element method which is applied to homogeneous non-elliptic boundary value problem. It is supposed that the respective differential operator of the problem is a sum of elliptic and a "perturbed" operator. A sufficient condition for this "perturbed" operator is given in order that the convergency of finite element method may be maintained.
This article deals with the estimate of exactness of finite element method which is applied to homogeneous non-elliptic boundary value problem. It is supposed that the respective differential operator of the problem is a sum of elliptic and a "perturbed" operator. A sufficient condition for this "perturbed" operator is given in order that the convergency of finite element method may be maintained.
DOI : 10.21136/AM.1973.103498
Classification : 35A35, 35B20, 35J40, 65N10 
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Janovský, Vladimír. Elliptic boundary value problems with nonvariational perturbation and the finite element method. Applications of Mathematics, Tome 18 (1973) no. 6, pp. 422-433. doi: 10.21136/AM.1973.103498

[1] J. L. Lions E. Magenes: Problèmes aux limites non homogenès et applications. Dunod, Paris 1968.

[2] G. Strang G. Fix: A Fourier Analysis of the Finite Element Variational Methods. (to appear)

[3] S. G. Michlin: Variacionnyje metody v matěmatičeskoj fizike. Gostěchizdat, Moskva 1957.

[4] I. Babuška: Error -Bounds for Finite Element Method. Num. Math. 16, 1970, 322-377. | DOI | MR

[5] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Academia, Prague, 1967. | MR

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