Numerics FEA interpolation order vs element number

[joshmccraney]

Main Question or Discussion Point

Hi PF!

Can someone help me understand the difference between interpolation order (linear, quadratic, etc) vs element number?

Like, if we had a 1D beam (for simplicity) what's the difference between using 1 element and a quadratic interpolation vs 2 elements but a linear interpolation?

Not sure if this is posted in the right spot?

 

[Mech_Engineer]

In the end the choice between more low-order elements or fewer high-order elements will depend on your application, and the stress gradients in the area you're analyzing. Fewer high-order elements can be more efficient in terms of solving time and model size, but it may still be necessary to have a large number of them depending on your goals.

Here is some additional reading on the topic: http://www.padtinc.com/blog/the-focus/mid-side-nodes-do-they-really-help

 

[joshmccraney]

In the end the choice between more low-order elements or fewer high-order elements will depend on your application, and the stress gradients in the area you're analyzing. Fewer high-order elements can be more efficient in terms of solving time and model size, but it may still be necessary to have a large number of them depending on your goals.

Here is some additional reading on the topic: http://www.padtinc.com/blog/the-focus/mid-side-nodes-do-they-really-help

Thanks!