Algorithms and Implementation

** Daniel Rypl and Zdenek Bittnar
Department of Structural Mechanics
Faculty of Civil Engineering
Czech Technical University in Prague
Thákurova 7, 166 29 Prague, Czech Republic**

An efficient approach for parallel discretization of 3D domains is
presented. The parallelization strategy is based
on a domain decomposition concept.
Two levels of domain decomposition are considered - the model
level and the model entity parametric tree level. The decomposition on the
model level splits the model into subdomains on the model entity basis.
Since the decomposition may become unsatisfactory from the load
balancing point of view, a further level of decomposition based on the
parametric tree of the model entity is introduced.
The discretization strategy utilizes a tree based approach.
The compatibility of tree structures on
the processor interface is ensured by an iterative process.
The final mesh is obtained using appropriate
templates fitted into cells of the parametric tree structure.
The proposed algorithm is easy to parallelize and exhibits
a favourable rate between computation and communication.

- Introduction
- Model representation
- Parallelization strategy
- Discretization strategy
- Parallel computing scheme
- Implementation
- Examples
- Conclusions
- Bibliography
- Figures
- Tables

*Daniel Rypl
2005-12-03*