Numerics FEA interpolation order vs element number

AI Thread Summary
Interpolation order in finite element analysis (FEA) affects the accuracy of results, with higher orders like quadratic providing better precision than linear. The choice between using fewer high-order elements versus more low-order elements depends on the specific application and the stress gradients present in the model. Fewer high-order elements can lead to reduced solving time and smaller model sizes, yet may require careful consideration of element count for accurate results. Ultimately, the decision should align with the analysis goals and the complexity of the stress distribution. Understanding these trade-offs is crucial for effective FEA modeling.
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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?
 
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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
 
Mech_Engineer said:
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!
 
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