had this idea to solve an FEM problem: While fixing all nodes of the elements that connect to one node one could calculate the balanced state of this specific node. Doing this for all nodes one can get in a few pass-troughs's a global minimum of the energy for the complete system. Since this seams a quite simple approach to the problem I did some Internet research on this and found quite nothing about such a method.
Only the Program "Sinter-FEM"
Using this approach would spare the Memory Problems that one gets in Big Systems since no system Matrix has to be generated (the necessary memory would increase linear and not quadratic with the amount of elements). The same should be true for the amount of calculations witch are needed to get the results.
Furthermore it seems a lot easier to be programmed, especially if it gets to nonlinear or dynamic Problems. And if a System is instable the Program wound crash but the System would start drifting in our virtual Space and that could be useful for crack propagation Problems.
Now I was wondering if there has been any research to this approach or if there are more Programs using it, if there are any books, papers or anything where it has been mentioned and what are the problems? Why hasn't it been used in More Programs?
Sincerely
Marko Thiele