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ElementHex2

See original GitHub issue

The next element to be added under #23 is probably the 27-node quadratic three-dimensional ElementHex2.

Quadratic hexahedral elements were recommended over ElementHex1 by Benzley et al (1995), as consulted in #75.

The use of quadratic displacement formulated finite elements significantly improve the performance of the tetrahedral as well as the hexahedral elements.

ElementHex2 will also be required for Taylor–Hood element for Stokes or Navier–Stokes problems on a MeshHex.

Issue Analytics

State:
Created 4 years ago
Comments:6 (6 by maintainers)

Top GitHub Comments

1reaction

kinnalacommented, Feb 14, 2020

I’m now using Leszek Demkowicz’ books since I got a recommendation from a friend:

https://www.amazon.com/Computing-Hp-Adaptive-Finite-Elements-Vol/dp/1584886714

I’m also simultaneously studying theory from Schwab’s book:

https://www.amazon.com/hp-Finite-Element-Methods-Applications/dp/0198503903

1reaction

kinnalacommented, Feb 14, 2020

I’m now looking into implementing the p-version of the finite element method in scikit-fem, starting with ElementQuadP for arbitrary order. I’ll probably change the reference element used for quads and hexes (from (-1, 1)^d to (0, 1)^d) because the book I’m using as a reference uses those and it seems that the notation for the basis functions will be slightly more concise.

Just a remark in case you already started working on this.

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