* renumbering. The underlying mesh is deeply copied and its cells are also permuted.
* The number of cells remains the same; for that the permutation array \a old2NewBg
* should not contain equal ids.
+ * ** Warning, this method modifies the mesh aggreagated by \a this (by performing a deep copy ) **.
+ *
* \param [in] old2NewBg - the permutation array in "Old to New" mode. Its length is
* to be equal to \a this->getMesh()->getNumberOfCells().
* \param [in] check - if \c true, \a old2NewBg is transformed to a new permutation