On 4/7/22 10:14, Teo Collin wrote:
Suppose I have read in a linear mesh of quads or hexes (via gmsh). How could I
create a higher order mesh that represents exactly the same mesh (i.e the
elements will be linear but represented with polynomials)? Is there an easy
way or step-x someone can point me to?
I am not trying to actually solve anything on a curved mesh yet but I just
want to see the impact of increasing the polynomial order of the mesh
representation.
Teo:
Are you asking how to increase the polynomial degree of the *mapping* or of
the *finite element*?
As long as your mesh has straight edges, increasing the polynomial degree of
the mapping isn't going to make a difference: The mesh remains the same, and
so the solution remains the same whether or not you represent the straight
edge by linear polynomials or polynomials of higher order. But if you increase
the polynomial degree of the finite element, you can of course expect smaller
errors on the same mesh.
Best
W.
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Wolfgang Bangerth email: [email protected]
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