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

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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

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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

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  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) 
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