| Title:
|
Semiregular hermite tetrahedral finite elements (English) |
| Author:
|
Ženíšek, Alexander |
| Author:
|
Hoderová-Zlámalová, Jana |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
46 |
| Issue:
|
4 |
| Year:
|
2001 |
| Pages:
|
295-315 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Tetrahedral finite $C^0$-elements of the Hermite type satisfying the maximum angle condition are presented and the corresponding finite element interpolation theorems in the maximum norm are proved. (English) |
| Keyword:
|
tetrahedral finite elements of the Hermite type |
| Keyword:
|
maximum and minimum angle conditions |
| Keyword:
|
finite element interpolation theorems |
| MSC:
|
35J05 |
| MSC:
|
65N12 |
| MSC:
|
65N30 |
| MSC:
|
65N50 |
| idZBL:
|
Zbl 1066.65118 |
| idMR:
|
MR1842552 |
| DOI:
|
10.1023/A:1013700225774 |
| . |
| Date available:
|
2009-09-22T18:07:06Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134469 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] R. E. Barnhill, J. A. Gregory: Sard kernel theorems on triangular domains with applications to finite element error bounds.Numer. Math. 25 (1976), 215–229. MR 0458000, 10.1007/BF01399411 |
| Reference:
|
[4] R. G. Durán: Error estimates for 3-d narrow finite elements.Math. Comp. 68 (1999), 187–199. MR 1489970, 10.1090/S0025-5718-99-00994-1 |
| Reference:
|
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| Reference:
|
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| Reference:
|
[7] M. Křížek: On semiregular families of triangulations and linear interpolation.Appl. Math. 36 (1991), 223–232. MR 1109126 |
| Reference:
|
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| Reference:
|
[9] N. Al Shenk: Uniform error estimates for certain narrow Lagrange finite elements.Math. Comp. 63 (1994), 105–119. Zbl 0807.65003, MR 1226816, 10.1090/S0025-5718-1994-1226816-5 |
| Reference:
|
[10] J. L. Synge: The Hypercircle in Mathematical Physics.Cambridge Univ. Press, London, 1957. Zbl 0079.13802, MR 0097605 |
| Reference:
|
[11] A. Ženíšek: Nonlinear Elliptic and Evolution Problems and Their Finite Element Approximations.Academic Press, London, 1990. MR 1086876 |
| Reference:
|
[12] A. Ženíšek: Maximum-angle condition and triangular finite elements of Hermite type.Math. Comp. 64 (1995), 929–941. MR 1297481, 10.2307/2153477 |
| Reference:
|
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| . |
