Planar graphs have the intersection of edges only at nodes. So the finite element mesh also satisfies the definition of planar graph. Should we consider a FE mesh as a planar graph? I am trying to solve a 2D problem. I want to mesh a rectangular domain in which at least 80% of the mesh elements should be heptagons. But according to Euler's formula in graph theory shows that its not possible to do so.
2026-03-24 23:54:04.1774396444
Are finite element mesh considered as planar graph?
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