Detail publikace

FET-based method for homogenization of periodic media: Finite element formulation and reliable error bounds on homogenized coefficients

VONDŘEJC, J. ZEMAN, J. NOVÁK, J. MAREK, I.

Originální název

FET-based method for homogenization of periodic media: Finite element formulation and reliable error bounds on homogenized coefficients

Typ

abstrakt

Jazyk

angličtina

Originální abstrakt

In 1994, Moulinec and Suquet introduced, as an alternative to traditional Finite Element schemes, a new approach to the numerical homogenization of deterministic periodic media based on the Fast Fourier Transforms. The method builds on an iterative solution to an integral equation of the Lippmann-Schwinger type for the unit cell problem, with a kernel whose action can be efficiently evaluated in the Fourier space. Since then, several improvements of the basic scheme have been proposed, successfully applied to diverse problems, are extended to a stochastic framework. The aim of this contribution is to summarize our recent work on the analysis of the original Moulinec-Suquet scheme.

Klíčová slova

FET-based method, finite element formulation

Autoři

VONDŘEJC, J.; ZEMAN, J.; NOVÁK, J.; MAREK, I.

Vydáno

9. 9. 2013

Místo

Santorini, Island, Greece

Strany od

34

Strany do

35

Strany počet

2

BibTex

@misc{BUT110070,
  author="Jaroslav {Vondřejc} and Jan {Zeman} and Jan {Novák} and Ivo {Marek}",
  title="FET-based method for homogenization of periodic media: Finite element formulation and reliable error bounds on homogenized coefficients",
  booktitle="Multiscale modeling and uncertainty quantification of materials and structures",
  year="2013",
  pages="34--35",
  address="Santorini, Island, Greece",
  note="abstract"
}