In SofimeshA UMSH, there is only one global mesh control parameter: HMAX, maximum mesh size on edges.
In SofimeshC SVO, there is no mesh control parameter.
In Sap2000, Midas Civil/Gen, Lusas and Dlubal RFEM, there are lots of local mesh refinement option, eg. below are FE mesh refinemnet options in Dlubal RFEM
I made a block (1m x 1m x 1m) with h1=0.1 and put a SPT X=0.5, 0.5, 1 on the top surface
SPT - X 0.50000000 0.50000000 1.00000000
Then I add h2=0.025 to the top SAR only
SAR - GRP 1 T 0.100000 MNO 1 NX 0.000000 0.000000 -1.000000 MCTL REGM H1 0.1 H2 0.025
I expect only meshes around point (0.5,0.5,1) at center of top SAR have smaller size (red circle in the pic). But meshes in the other places (green regions) have smaller size too.
Turn off the regular meshing (MCTL REGM), then you’ll get refined meshing at the middle point and the corners (where you have implicit structural points)