The main idea of the multi-frontal solver algorithm working over the four finite element mesh

is illustrated in Figures 8.2, 8.3, 8.4, 8.5, and 8.6. In this example we assume that we also have

four processors (as many processors as elements). In such a case each element can be processed in

parallel . We will use the name processor, but core would be also suitable, depending on the assumed

architecture of the parallel machine. We also assume that we send some data from one processor to

the other. The communication is necessary in the case of a distributed memory parallel machine, but

it is not necessary in the case of a shared memory parallel machine.