| Title:
|
Curved elements in a mixed finite element method close to the equilibrium model (English) |
| Author:
|
Haslinger, Jaroslav |
| Author:
|
Hlaváček, Ivan |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
20 |
| Issue:
|
4 |
| Year:
|
1975 |
| Pages:
|
233-252 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
Using the new variational approach for solving one elliptic equation of second order with constant coefficients, the authors study the rate of convergence of Galerkin's approximations in a space of curved finite elements. () |
| MSC:
|
35J20 |
| MSC:
|
65N30 |
| MSC:
|
65Z05 |
| idZBL:
|
Zbl 0324.65048 |
| idMR:
|
MR0383790 |
| DOI:
|
10.21136/AM.1975.103590 |
| . |
| Date available:
|
2008-05-20T18:01:32Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103590 |
| . |
| Reference:
|
[1] J. Haslinger I. Hlaváček: A mixed finite element method close to the equilibrium model.(To appear.) MR 0345433 |
| Reference:
|
[2] J. Haslinger I. Hlaváček: A mixed finite element method close to the equilibrium model applied to plane elastostatics.(To appear.) MR 0391539 |
| Reference:
|
[3] M. Zlámal: Curved elements in the finite element method.SIAM J. Numer. Anal., Vol. 10, No. 1 (1973), pp. 229-240. MR 0395263, 10.1137/0710022 |
| Reference:
|
[4] P. G. Ciarlet P. A. Raviart: Interpolation theory over curved elements, with Applications to finite-element methods.Соmр. Meth. Appl. Mech. Eng. 1 (1972), pp. 217-249. MR 0375801, 10.1016/0045-7825(72)90006-0 |
| Reference:
|
[5] J. Nečas: Les méthodes directes en théorie des équations eíliptiques;.Academia, Prague 1967. MR 0227584 |
| Reference:
|
[6] J. Haslinger: Elements finis et la convergence à l'interieur du domaine.CMUC 1974, 1, pp. 85-102. MR 0337026 |
| Reference:
|
[7] I. Babuška: Approximation by hill-functions II.Institute for fluid Dynamics and Applied mathematics. Technical Note BN-708. |
| . |
