| Title:
|
Approximation by Hill functions (English) |
| Author:
|
Babuška, Ivo |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
11 |
| Issue:
|
4 |
| Year:
|
1970 |
| Pages:
|
787-811 |
| . |
| Category:
|
math |
| . |
| MSC:
|
41A65 |
| MSC:
|
46E35 |
| MSC:
|
65N05 |
| MSC:
|
65Nxx |
| idZBL:
|
Zbl 0215.46404 |
| idMR:
|
MR0292309 |
| . |
| Date available:
|
2008-06-05T20:33:57Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105313 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/105391 |
| . |
| Reference:
|
[1] D. C. ZIENKIEWICZ: The finite element method in structural and continuum mechanics.London, McGraw-Hill, 1967. Zbl 0189.24902 |
| Reference:
|
[2] M. ZLÁMAL: On the Finite Element Method.Num. Math. 12 (1968), 394-409. MR 0243753 |
| Reference:
|
[3] G. BIRKHOFF M. H. SCHULZ R. S. VARGA: Piecewise Hermite interpolation in one and two variables with applications to partial differential equations.Num. Math. 11 (1968), 232-256. MR 0226817 |
| Reference:
|
[4] I. BABUŠKA: Error-Bounds for Finite Element Method.Technical Note BN-630, Institute for Fluid Dynamics and Applied Mathematics, University of Maryland, November 1969. MR 0288971 |
| Reference:
|
[5] I. BABUŠKA: Numerical Solution of Boundary Value Problems bv the Perturbed Variational Principle.Technical Note BN-626, Institute for Bluid Dynamics and Applied Mathematics, University of Maryland, October 1969. |
| Reference:
|
[6] I. BABUŠKA: The finite element method for elliptic equationa with discontinuous coefficients.Technical Note BN-631, Institute for Fluid Dynamics and Applied Mathematics, University of Maryland, December 1969. MR 0277119 |
| Reference:
|
[7] I. BABUŠKA: Finite element method for domains with corners.Technical Note BN-636, Institute for Fluid. Dyaamics and Applied Mathematics, University of Maryland, January 1970. MR 0293858 |
| Reference:
|
[8] I. BABUŠKA: The rate of convergence for the finite element method.Tech. Note BN-646, University of Maryland, Institute for Fluid Dynamics and Applied Mathematics. March 1970. MR 0287715 |
| Reference:
|
[9] I. BABUŠKA: Computation of derivatives in the finite element method.Tech. Note BN-650, University of Maryland, Institute for Fluid Dynamics and Applied Mathematics. April 1970. CMUC 1970, 545-558. MR 0275694 |
| Reference:
|
[10] I. BABUŠKA: The finite element method for elliptic differential equations.Tech. Note BN-653, University of Maryland, Institute for Fluid Dynamics and Applied Mathematics. May 1970 . |
| Reference:
|
[11] I. BABUŠKA J. SEGETHOVÁ K. SEGETH: Numerical experiments with finite element method I.Tech. Note BN-669, University of Maryland, Institute for Fluid Dynamics and Applied Mathematics. August 1970. |
| Reference:
|
[12] I. BABUŠKA: The finite element method for infinite domains I.Tech Note BN-670, University of Maryland Institute for Fluid Dynamics and Aplied Mathematica, August 1970. |
| Reference:
|
[13] I. BABUŠKA: Numerical stability of finite element method.To appear. |
| Reference:
|
[14] J. SEGETHOVÁ: Numerical construction of the hill functions.Tech. Ref. 70-110-NGL-21-002-008, 1970, University of Maryland, Comp. Science Center. |
| Reference:
|
[15] K. SEGETH: Problems of universal Approximation by Hill Functions.Tech. Note BN-619, 1970, University of Maryland, Institute for Fluid Dynamics and Applied Mathematics. |
| Reference:
|
[16] K. YOSIDA: Functional analysis.New York Academic Press, 1965. Zbl 0126.11504, MR 0180824 |
| Reference:
|
[17] I. M. GEL'FAND G. M. SHILOV: Generalized functions.(translated from Russian), Vol. 1, Vol. 2, Academic Press, New York - London. |
| Reference:
|
[18] G. FIX G. STRANG: Fourier analysis of the finite element method in Ritz-Galerkin Theory.Studies in Applied Math, 48 (1969), 265-273. MR 0258297 |
| Reference:
|
[19] G. STRANG G. FIX: A Fourier analysis of the finite element variational method.To appear. |
| Reference:
|
[20] F. D. GUGLIELMO: Construction d'approximations des espaces de Sobolev sur des riseaux en simplexes.Calcolo, Vol. 6 (1969), 279-331. MR 0433113 |
| Reference:
|
[21] G. STRANG: The finite element method and approximation theory.To appear. Zbl 0239.65085, MR 0287723 |
| . |
