Publication detail

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

ŽENÍŠEK, A.

Original Title

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

Type

journal article - other

Language

English

Original Abstract

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.

Keywords

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

Authors

ŽENÍŠEK, A.

RIV year

2005

Released

1. 1. 2005

ISBN

0163-0563

Periodical

Numerical Functional Analysis and Optimization

Year of study

26

Number

4-5

State

United States of America

Pages from

577

Pages to

611

Pages count

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"
}