A remark to the finite element method

Ivo Babuška

Commentationes Mathematicae Universitatis Carolinae (1971)

  • Volume: 012, Issue: 2, page 367-376
  • ISSN: 0010-2628

How to cite

top

Babuška, Ivo. "A remark to the finite element method." Commentationes Mathematicae Universitatis Carolinae 012.2 (1971): 367-376. <http://eudml.org/doc/16435>.

@article{Babuška1971,
author = {Babuška, Ivo},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {2},
pages = {367-376},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A remark to the finite element method},
url = {http://eudml.org/doc/16435},
volume = {012},
year = {1971},
}

TY - JOUR
AU - Babuška, Ivo
TI - A remark to the finite element method
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1971
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 012
IS - 2
SP - 367
EP - 376
LA - eng
UR - http://eudml.org/doc/16435
ER -

References

top
  1. G. FIX, G. STRANG, Fourier analysis of the finite element method in Ritz-Galerkin theory, Studies in Applied Mathematics 48 (1969), 265-273. (1969) Zbl0179.22501MR0258297
  2. G. STRANG, G. FIX, A Fourier analysis of the finite element variational method, To appear. Zbl0278.65116
  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. (1967) MR0233068
  4. J. P. AUBIN, Some variational methods for non-homogeneous boundary value problems, Calcolo, 1969. (1969) 
  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). MR0267788
  6. J. NITSCHE, Über ein Variationsprinzip für Lösung von Dirichlet Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind, (to appear). 
  7. J. H. BRAMBLE, A. H. SCHATZ, Least squares methods for 2nd order elliptic boundary value problems, To appear. 
  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. (1969) MR0295599
  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 . (1969) MR0288971
  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. (1970) MR0287715
  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), (1969) MR0277119
  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. (1970) 
  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. (1970) MR0273836
  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. (1970) MR0275694
  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. (1970) MR0292309
  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. (1970) 
  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. (1970) MR0951920

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.