The convergence of the finite element method for boundary value problems of the system of elliptic equations

Alexander Ženíšek

Aplikace matematiky (1969)

  • Volume: 14, Issue: 5, page 355-377
  • ISSN: 0862-7940


The finite element method is a generalized Ritz method using special admissible functions. In the paper, triangular elements and functions are considered which are linear or quadratic polynomials on each triangle. The convergence is proved for variational problems arising from second order boundary value problems. The order of accuracy of the procedure is ( s + 1 ) / 2 in case of inhomogeneous Dirichlet conditions and s in other cases ( s is the degree of the polynomial used).

How to cite


Ženíšek, Alexander. "Konvergence metody konečných prvku pro okrajově problémy systému eliptických rovnic." Aplikace matematiky 14.5 (1969): 355-377. <>.

author = {Ženíšek, Alexander},
journal = {Aplikace matematiky},
keywords = {numerical analysis},
language = {cze},
number = {5},
pages = {355-377},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Konvergence metody konečných prvku pro okrajově problémy systému eliptických rovnic},
url = {},
volume = {14},
year = {1969},

AU - Ženíšek, Alexander
TI - Konvergence metody konečných prvku pro okrajově problémy systému eliptických rovnic
JO - Aplikace matematiky
PY - 1969
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 14
IS - 5
SP - 355
EP - 377
LA - cze
KW - numerical analysis
UR -
ER -


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Citations in EuDML Documents

  1. Jan Brandts, Sergey Korotov, Michal Křížek, Generalization of the Zlámal condition for simplicial finite elements in d
  2. Michal Křížek, On semiregular families of triangulations and linear interpolation
  3. Kenta Kobayashi, Takuya Tsuchiya, A priori error estimates for Lagrange interpolation on triangles
  4. Václav Kučera, Several notes on the circumradius condition
  5. Antti Hannukainen, Sergey Korotov, Michal Křížek, On Synge-type angle condition for d -simplices

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