Wavelet Based Finite Element Methods

  • Maitz, Annemarie, (Co-Investigator (CoI))
  • Hackl, Klaus, (Co-Investigator (CoI))

Project: Research project

Description

In spite of its undeniable success the finite element
method suffers from several shortcomings when it comes
to the treatment of problems of nonlinear solid mechanics,
especially those involving material failure, which often
exhibit a high degree of localization, rendering the
solution of those problems time intensive and costly.

Wavelets, a new class of function systems which only has
been developed recently, offer promising features like
orthogonality and multiscale resolution, which should allow
to resolve the difficulties mentioned above by establishing
effective adaptive numerical schemes.

The aim of the planned research is to develop adaptive
wavelet based finite element algorithms for various
nonlinear materials.

The novel algorithms will be implemented as computer
programs on successively higher levels of complexity while
continuously being tested on suitable benchmark problems.
StatusFinished
Effective start/end date1/08/9731/01/99