| Title:
|
A remark to the finite element method (English) |
| Author:
|
Babuška, Ivo |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
12 |
| Issue:
|
2 |
| Year:
|
1971 |
| Pages:
|
367-376 |
| . |
| Category:
|
math |
| . |
| MSC:
|
65-20 |
| MSC:
|
65N30 |
| MSC:
|
65N35 |
| idZBL:
|
Zbl 0243.65069 |
| idMR:
|
MR0287663 |
| . |
| Date available:
|
2008-06-05T20:35:41Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105352 |
| . |
| Reference:
|
[1] G. FIX, G. STRANG: Fourier analysis of the finite element method in Ritz-Galerkin theory.Studies in Applied Mathematics 48 (1969), 265-273. Zbl 0179.22501, MR 0258297 |
| Reference:
|
[2] G. STRANG, G. FIX: A Fourier analysis of the finite element variational method.To appear. Zbl 0278.65116 |
| Reference:
|
[3] J. P. AUBIN: Behavior of the error of the approximate solution of boundary value problems for linear elliptic operators by Galerkin's and finite differences methods.Annali della Scuola Normale di Pisa 21 (1967), 599-637. MR 0233068 |
| Reference:
|
[4] J. P. AUBIN: Some variational methods for non-homogeneous boundary value problems.Calcolo, 1969. |
| Reference:
|
[5] J. H. BRAMBLE, A. H. SCHATZ: Raleigh, Ritz-Galerkin methods for Dirichlet's problem using subspaces without boundary conditions.Comm. Pure Appl. Math. (to appear). MR 0267788 |
| Reference:
|
[6] J. NITSCHE: Über ein Variationsprinzip für Lösung von Dirichlet Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind.(to appear). |
| Reference:
|
[7] J. H. BRAMBLE, A. H. SCHATZ: Least squares methods for 2nd order elliptic boundary value problems.To appear. |
| Reference:
|
[8] L. A. OGANESJAN L. A. RUCHOVEC: A study of rates of convergence of some variational difference schemes for elliptic equations of second order in a two dimensional domain with smooth boundary.(Russian). Ž. Vyčislit. Mat. i Mat. Fiz. 9 (1969), 1102-1119. MR 0295599 |
| Reference:
|
[9] I. BABUŠKA: Error bounds for finite element method.Tech. Note BN-630 (1969), University of Maryland, Institute for Fluid Dynamics and Applied Mathematics. Numerische Mathematik 16, 322-333, 1972 . MR 0288971 |
| Reference:
|
[10] I. BABUŠKA: The rate of convergence for the finite element method.Tech. Note BN-646 (1970), University of Maryland, Institute for Fluid Dynamics and Applied Mathematics. To appear in SIAM Journal, Num. Math. MR 0287715 |
| Reference:
|
[11] I. BABUŠKA: The finite element method for elliptic equations with discontinuous coefficients.Tech. Note BN-631 (1969), University of Maryland, Institute for Fluid. Dynamics and Applied Mathematics, Computing 5, 207-213 (1970), MR 0277119 |
| Reference:
|
[12] I. BABUŠKA: Finite element method for domains with corners.Techn. Note BN-636 (1970), University of Maryland, Institute for Fluid Dynamics and Applied Mathematics, to appear in Computing. |
| Reference:
|
[13] I. BABUŠKA: The finite element method for elliptic differential equations.Tech. Note BN-653, (1970), University of Maryland, Institute for Fluid Dynamics and Applied Mathematics. Numerical Solution of Partial Differential Equations II, SYNSPADE 1970. Edited by B. Hubbard, Academic Press 1971, New York - London, 69-107. MR 0273836 |
| Reference:
|
[14] I. BABUŠKA: Computation of derivatives in the finite element method.Tech. Note BN-650 (1970), University of Maryland, Institute for Fluid Dynamics and Applied Mathematics, Comment. Math. Univ. Carolinae 11, 3 (1970), 543-557. MR 0275694 |
| Reference:
|
[15] I. BABUŠKA: Approximation by Hill functions.Tech. Note BN-648 (1970), University of Maryland, Institute for Fluid Dynamice and Applied Mathematics, Comment. Math. Univ. Carolinae 11, 4 (1970), 787-811. MR 0292309 |
| Reference:
|
[16] I. BABUŠKA: The finite element method for infinite domains I.Tech. Note BN-670 (1970), University of Maryland, Inst. for Fluid Dynamics and Applied Mathematics. |
| Reference:
|
[17] I. BABUŠKA, J. SEGETHOVÁ, K. SEGETH: Numerical experiments with finite element method I.Tech. Note BN-669 (1970), University of Maryland, Inst. for Fluid Dynamics and Applied Mathematics. MR 0951920 |
| . |
