Detail publikace

Semiregular finite elements in solving some nonlinear problem

ZLÁMALOVÁ, J.

Originální název

Semiregular finite elements in solving some nonlinear problem

Anglický název

Semiregular finite elements in solving some nonlinear problem

Jazyk

en

Originální abstrakt

The finite element analysis of the variational problem which is formally equivalent to a two-dimensional nonlinear elliptic boundary value problem with mixed nonhomogeneous boundary conditions. The given problem is solved in the case of a bounded domain whose boundary consists of two circles with the same centre. Difference between the radii of circles is very small with respect to radidus. An elliptic problem given on such a domain has many practical applications (let us mention, for example, the cartilage between a joint and hip, or an air-crevice between a rotor and stator in an electromachine). The finite element analysis of this problem is restricted to the case of semiregular triangular finite elements with polynomials of the first degree.

Anglický abstrakt

The finite element analysis of the variational problem which is formally equivalent to a two-dimensional nonlinear elliptic boundary value problem with mixed nonhomogeneous boundary conditions. The given problem is solved in the case of a bounded domain whose boundary consists of two circles with the same centre. Difference between the radii of circles is very small with respect to radidus. An elliptic problem given on such a domain has many practical applications (let us mention, for example, the cartilage between a joint and hip, or an air-crevice between a rotor and stator in an electromachine). The finite element analysis of this problem is restricted to the case of semiregular triangular finite elements with polynomials of the first degree.

Dokumenty

BibTex


@article{BUT42418,
  author="Jana {Hoderová}",
  title="Semiregular finite elements in solving some nonlinear problem",
  annote="The finite element analysis of the variational problem which is formally equivalent to a two-dimensional nonlinear elliptic boundary value problem with mixed nonhomogeneous boundary conditions.
The given problem is solved in the case of a bounded domain whose boundary consists of two circles  with the same centre. Difference between the radii of circles is very small with respect to radidus.
An elliptic problem given on such a domain has many practical applications (let us mention, for example, the cartilage between a joint and hip, or an air-crevice between a rotor and stator in an electromachine).
The finite element analysis of this problem is restricted to the case of semiregular triangular finite elements with polynomials of the first degree.",
  chapter="42418",
  journal="APPLICATIONS OF MATHEMATICS",
  number="1",
  volume="46",
  year="2001",
  month="january",
  pages="53--77",
  type="journal article - other"
}