Semiregular finite elements in solving some nonlinear problems

Jana Zlámalová

Applications of Mathematics (2001)

  • Volume: 46, Issue: 1, page 53-77
  • ISSN: 0862-7940

Abstract

top
In this paper, under the maximum angle condition, the finite element method is analyzed for nonlinear elliptic variational problem formulated in [4]. In [4] the analysis was done under the minimum angle condition.

How to cite

top

Zlámalová, Jana. "Semiregular finite elements in solving some nonlinear problems." Applications of Mathematics 46.1 (2001): 53-77. <http://eudml.org/doc/33076>.

@article{Zlámalová2001,
abstract = {In this paper, under the maximum angle condition, the finite element method is analyzed for nonlinear elliptic variational problem formulated in [4]. In [4] the analysis was done under the minimum angle condition.},
author = {Zlámalová, Jana},
journal = {Applications of Mathematics},
keywords = {finite element method; nonlinear elliptic problems; semiregular elements; maximum angle condition; effect of numerical integration; approximation of the boundary; finite element method; semiregular elements; maximum angle condition; convergence; nonlinear elliptic boundary value problem},
language = {eng},
number = {1},
pages = {53-77},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Semiregular finite elements in solving some nonlinear problems},
url = {http://eudml.org/doc/33076},
volume = {46},
year = {2001},
}

TY - JOUR
AU - Zlámalová, Jana
TI - Semiregular finite elements in solving some nonlinear problems
JO - Applications of Mathematics
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 46
IS - 1
SP - 53
EP - 77
AB - In this paper, under the maximum angle condition, the finite element method is analyzed for nonlinear elliptic variational problem formulated in [4]. In [4] the analysis was done under the minimum angle condition.
LA - eng
KW - finite element method; nonlinear elliptic problems; semiregular elements; maximum angle condition; effect of numerical integration; approximation of the boundary; finite element method; semiregular elements; maximum angle condition; convergence; nonlinear elliptic boundary value problem
UR - http://eudml.org/doc/33076
ER -

References

top
  1. The Finite Element Method for Elliptic Problems, North-Holland Publishing Company, Amsterdam, 1978. (1978) Zbl0383.65058MR0520174
  2. 10.1007/s002110050318, Numer. Math. 78 (1998), 403–425. (1998) MR1603350DOI10.1007/s002110050318
  3. 10.1051/m2an/1990240404571, RAIRO Modél. Math. Anal. Numér. 24 (1990), 457–500. (1990) MR1070966DOI10.1051/m2an/1990240404571
  4. Finite element solution of nonlinear elliptic problems, Numer. Math. 50 (1987), 451–475. (1987) MR0875168
  5. On semiregular families of triangulations and linear interpolation, Appl. Math. 36 (1991), 223–232. (1991) MR1109126
  6. Function Spaces, Academia, Praha, 1977. (1977) MR0482102
  7. Les Métodes Directes en Théorie des Equations Elliptiques, Academia-Masson, Prague-Paris, 1967. (1967) MR0227584
  8. Variational-Difference Methods for the Solution of Elliptic Problems, Izd. Akad. Nauk ArSSR, Jerevan, 1979. (Russian) (1979) 
  9. Nonlinear Elliptic and Evolution Problems and Their Finite Element Approximations, Academic Press, London, 1990. (1990) MR1086876
  10. 10.1007/s002110050151, Numer. Math. 71 (1995), 399–417. (1995) MR1347576DOI10.1007/s002110050151
  11. Finite element variational crimes in the case of semiregular elements, Appl. Math. 41 (1996), 367–398. (1996) MR1404547
  12. The use of semiregular finite elements, In: Proceedings of EQUADIFF, Conference on Differential Equations and Their Applications (R. P.  Agarwal, F.  Neuman and J.  Vosmanský, eds.), Masaryk University, Brno & Electronic Publishing House, Stony Brook, New York, 1998, pp. 201–251. (1998) 
  13. 10.1137/0710022, SIAM J.  Numer. Anal. 10 (1973), 229–240. (1973) MR0395263DOI10.1137/0710022

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.