As far as I understand is algebraic multigrid(AMG) a method that was intentionally developed to solve linear systems where every grid point or node has a single DOF. When AMG should now be used for coupled problems like 2D or 3D structural problems, how can AMG be changed to deal with that kind of problems? The main challenge is to keep all DOF of a single grid point together and move them either to the fine or coarse mesh. I would like to solve this problem for Ruge Stuben AMG. I already thought about decoupling the DOF by coordinate transformation but I am not sure if this is possible and not too computational expensive. If it will help, I can access the element matrices during assembly phase of the global matrix and I know the number of DOF per node. Any suggestions on how to deal with this problem?


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