Tensor method

In order to equalize the load of individual domains, the assumption is made that this can be achieved by equalizing the work in each cartesian direction, i.e. the work of all domains having the same coordinate in a cartesian direction is collected and the width of all these domains in this direction is adjusted by comparing this collective work with the collective work of the neighboring domains. This is done independently for each cartesian direction in the system.

Required number of vertices

• two, one describing the lower left front point and one describing the upper right back point of the domain

Advantages

• topology of the system is maintained (orthogonal domains, neighbor relations)

• no update for the neighbor relations is required in the calling code

• if a code was able to deal with orthogonal domains, only small changes are expected to include this strategy

Disadvantages

• due to the comparison of collective work loads in cartesian layers and restrictions resulting from this construction, the final result might lead to a sub-optimal domain distribution