**
Parallel Data Mapping between Simplex**

Finite Element Meshes using Mesh Topology

**
Daniel Rypl, Jan Vesecký
**

Department of Mechanics

Faculty of Civil Engineering

Czech Technical University in Prague

Thákurova 7, 166 29 Prague, Czech Republic

### Abstract:

Presented paper focuses on the transfer of
finite element data between simplex finite element meshes
representing different discretizations of the same geometrical model.
The construction of the localization map, defining for each node of
the target mesh, onto which the data are to be transferred, the
closest element of the original source mesh, is based on the walking
algorithm, performing a traversal between neighbouring elements of the
source mesh from an initial element towards the processed node.
To make the algorithm efficient and reliable, individual nodes of the
target mesh are processed in special order given by the nodal
connectivity of the target mesh. The implementation also relies on the
classification of the processed meshes to the underlying geometrical model.
Once the localization map is available, data from the source mesh are
mapped to nodes of the target mesh in parallel (using threads) by the
help of shape functions of the elements of the source mesh.