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]
                           www: http://www.math.colostate.edu/~bangerth/

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