COPERNICUS Project: CP 94-0820
High Performance Computing in Geosciences
Safety of constructions with respect to
rock deformations and movements
HIPERGEOS
Prospects for future work opened due to the research done
within this project
The research done within this project confirms the importance of
the close interaction between high level specialists in numerical
mathematics,
computer science, mathematical modeling in Geosciences on both theoretical
and
applied level, and engineering. The following steps are a natural
continuation of the performed work as well as of the reached achievements in
the framework of the reported project:
- The results of the present project demonstrate that we have now very
efficient
iterative methods (and softwares) to solve the 3D Navier equations of
elasticity on very large structured grids. The same methods require
however further developments to reach the same efficiency when applied
to other elasticity problems like plate and shell problems on irregular
grids. These problems
represent a very significant part of the finite element software market
in continuum mechanics and constitute a new challenging question.
- Development of new robust solution methods for adaptive local
refinement
and "h-p" refinement based on composite grids and use of a posteriori error
estimators as well as for non-conforming FEM systems, both studied as
alternatives to improve the parameter stability of the numerical solution.
- Construction of new algorithms for efficient parallel implementation on
multiprocessor workstations with distributed, shared and dynamic shared
memory
architecture. Improvement of the performance of the FEM codes by development
of
new recursive and blocking algorithms taking into account the influence of
the
cache locality and data locality.
- Development of new multilevel Newton-type method
exploiting adaptive mesh refinement as
well as continuation with respect to some problem parameters.
We expect that some of the above mentioned problems will be successfully
solved within
the forthcoming COPERNICUS KIT project.
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Last changed on Mar 26 2001,
mn