finite element analysis - General algorithm to discretize integration of weak form in FEM

Question

In FEM, we need to evaluate cell and edge integrals. The integration will be converted to discrete sum. This is very different for different elements (CG1, CG2, BDM, RT, DG1, DG2). There is a concept of topology used to describe elements by assigning DOF to node, edge, and cell of an element. This topology is very different for each elements like CG1, CG2, BDM, RT, DG1, DG2. Is it possible to generalize this transformation of integration to finite sum, using this topology?

CG1: topo: node0 -> dof0 
           node1 -> dof1 
           node2 -> dof2

DG1: topo: cell -> dof0, dof1, dof2      

question from:https://stackoverflow.com/questions/65516752/general-algorithm-to-discretize-integration-of-weak-form-in-fem

Answer 1

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