Detail publikace

Variational problems in domains with cusp-points and the finite element method

ŽENÍŠEK, A.

Anglický název

Variational problems in domains with cusp-points and the finite element method

Typ

Článek recenzovaný mimo WoS a Scopus

Jazyk

en

Originální abstrakt

A variational problem in a two-dimensional domain with cusp-points corresponding to a linear elliptic boundary value problem is formulated and the unique existence of its solution is proved. The corresponding finite element method using triangular finite $C^0-$elements with polynomials of the first degree is analyzed and both the convergence (under the assumptions sufficient for the existence of the exact solution) and the maximal rate of convergence O(h) are proved.

Klíčová slova anglicky

convergence, error estimates, existence and uniqueness theorem, finite element method, variational problems in bounded two-dimensional domains with cusp-points

Vydáno

2005-01-01

ISSN

0163-0563

Časopis

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION

Ročník

26

Číslo

4-5

Strany od–do

577–

Počet stran

35

BIBTEX


@article{BUT45800,
  author="Alexander {Ženíšek}",
  title="Variational problems in domains with cusp-points and the finite element method",
  journal="NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION",
  year="2005",
  volume="26",
  number="4-5",
  pages="35",
  issn="0163-0563"
}