| Title:
|
Special exact curved finite elements (English) |
| Author:
|
Křížková, Jitka |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
36 |
| Issue:
|
2 |
| Year:
|
1991 |
| Pages:
|
81-95 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Special exact curved finite elements useful for solving contact problems of the second order in domains boundaries of which consist of a finite number of circular ares and a finite number of line segments are introduced and the interpolation estimates are proved. (English) |
| Keyword:
|
finite elements |
| Keyword:
|
special exact curved finite elements |
| Keyword:
|
interpolation estimates |
| Keyword:
|
contact problems |
| MSC:
|
65D15 |
| MSC:
|
65L60 |
| MSC:
|
65N30 |
| MSC:
|
74A55 |
| MSC:
|
74M15 |
| MSC:
|
74S05 |
| idZBL:
|
Zbl 0760.65008 |
| idMR:
|
MR1097694 |
| DOI:
|
10.21136/AM.1991.104447 |
| . |
| Date available:
|
2008-05-20T18:41:05Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104447 |
| . |
| Reference:
|
[1] J. Křižková O. Blahník: Application of Special Curved Elements to the Solution of the Electromagnetic Field.Applied Mathematics Notes, vol. 14 (1989), 8-25. |
| Reference:
|
[2] L. Holuša A. Ženíšek: Applications of Curved Triangular Finite $C^1$ - Elements.Proceedings of Algorithms 79, Vysoké Tatry 1979, 128-136. |
| Reference:
|
[3] V. Kolář J. Kratochvíl F. Leitner A. Ženíšek: Computation of Surface and Space Constructions by the Finite Element Method.(Czech). Praha, SNTL 1979. |
| Reference:
|
[4] A. Kufner O. John S. Fučík: Function Spaces.Academia, Praha 1977. MR 0482102 |
| Reference:
|
[5] J. Nečas: Les méthodes directes en théorie des equations elliptiques.Academia, Praha 1967. MR 0227584 |
| Reference:
|
[6] K. Rektorys: Variační metody v inženýrských problémech a problémech matematické fyziky.Praha SNTL 1979. |
| Reference:
|
[7] M. Zlámal: On the Finite Element Method.Numer. Math. 12 (1968), 394-409. MR 0243753, 10.1007/BF02161362 |
| Reference:
|
[8] M. Zlámal: Curved Elements in the Finite Element Method I.SIAM J. Numer. Anal. vol. 10. No 1 (1973), 229-240. MR 0395263, 10.1137/0710022 |
| Reference:
|
[9] M. Zlámal: Curved Elements in the Finite Element Method II.SIAM J. Numer. Anal. vol. 11. No 2 (1974), 347-462. MR 0343660, 10.1137/0711031 |
| Reference:
|
[10] A. Ženíšek: Interpolation Polynomials on the Triangle.Numer. Math. 15 (1970), 283-296. MR 0275014, 10.1007/BF02165119 |
| Reference:
|
[11] A. Ženíšek: Curved Triangular Finite $C^m$-Elements.Aplikace matematiky 23 (1978), 346-377. MR 0502072 |
| Reference:
|
[12] A. Ženíšek: Curved Triangular $C^m$-Elements and their Applications.(Czech), Sborník referátů III. letní školy Software a algoritmy numer. mat., Nové Město na Moravě 1979. MR 0566166 |
| . |
