Example 11a: Refining a bi-cubic Hermite element

This example tests subdivision of a two-dimensional bi-cubic Hermite element with unit scale factors.

The geometry is one quarter of an annulus. The first element (xi) coordinate runs radially and the second circumferentially. Although linear interpolation would be sufficient for the first element coordinate, it is cubic here to test calculation of the derivatives.

The comfile run by this example is as follows:

# Example 11a

fem define bases;r;$example/2d-hermite;
fem define nodes;r;$example/quarter-annulus;
fem define elements;r;$example/quarter-annulus;

# fem export nodes;quarter-annulus1 as quarter_annulus1
# fem export elements;quarter-annulus1 as quarter_annulus1

fem refine xi 2;

# Remove the unnecessary confusion of scale factors.
fem update scale unit;

fem list elements;quarter-annulus2;

fem export nodes;quarter-annulus2 as quarter_annulus2
fem export elements;quarter-annulus2 as quarter_annulus2

Files used by this example are:

Name                    Modified     Size

example_11a.com         30-Jan-2004  508 
2d-hermite.ipbase       30-Jan-2004  1.5k
quarter-annulus.ipelem  30-Jan-2004  336 
quarter-annulus.ipnode  30-Jan-2004  2.1k
view.com                30-Jan-2004  628 

Download the entire example:

Name                      Modified     Size

examples_1_11_11a.tar.gz  18-Aug-2006  3.5k

Testing status by version:

Testing status by file: