# Semiregular finite elements in solving some nonlinear problems

Applications of Mathematics (2001)

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

## Access Full Article

top## Abstract

top## How to cite

topZlámalová, 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- The Finite Element Method for Elliptic Problems, North-Holland Publishing Company, Amsterdam, 1978. (1978) Zbl0383.65058MR0520174
- 10.1007/s002110050318, Numer. Math. 78 (1998), 403–425. (1998) MR1603350DOI10.1007/s002110050318
- 10.1051/m2an/1990240404571, RAIRO Modél. Math. Anal. Numér. 24 (1990), 457–500. (1990) MR1070966DOI10.1051/m2an/1990240404571
- Finite element solution of nonlinear elliptic problems, Numer. Math. 50 (1987), 451–475. (1987) MR0875168
- On semiregular families of triangulations and linear interpolation, Appl. Math. 36 (1991), 223–232. (1991) MR1109126
- Function Spaces, Academia, Praha, 1977. (1977) MR0482102
- Les Métodes Directes en Théorie des Equations Elliptiques, Academia-Masson, Prague-Paris, 1967. (1967) MR0227584
- Variational-Difference Methods for the Solution of Elliptic Problems, Izd. Akad. Nauk ArSSR, Jerevan, 1979. (Russian) (1979)
- Nonlinear Elliptic and Evolution Problems and Their Finite Element Approximations, Academic Press, London, 1990. (1990) MR1086876
- 10.1007/s002110050151, Numer. Math. 71 (1995), 399–417. (1995) MR1347576DOI10.1007/s002110050151
- Finite element variational crimes in the case of semiregular elements, Appl. Math. 41 (1996), 367–398. (1996) MR1404547
- 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)
- 10.1137/0710022, SIAM J. Numer. Anal. 10 (1973), 229–240. (1973) MR0395263DOI10.1137/0710022

## NotesEmbed ?

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