# Motivation

• None of the generally available visualization packages currently display higher-order solutions (quadratic, cubic, etc.) natively.
• To work around this limitation, MOOSE can "oversample" a higher-order solution by projecting it onto a finer mesh of linear elements.
• Note: This is not mesh adaptivity, nor does it improve the solution's accuracy in general.
• The following slide shows a sequence of solutions oversampled from a base solution on second-order Lagrange elements.

# Input File Syntax

• Oversampling is handled via the 'refinements' input parameter, which by default is set to zero.
• To enable oversampling set this to a positive integer
• The following input file snippet creates an [Exodus II][1] file with two oversample refinements. It also includes a positional offset for the oversampled mesh.
[Outputs]
console = true
exodus = true
[./exodus_oversample]
type = Exodus
refinements = 2
file_base = oversample
position = '1 2 0'
[../]
[]


# Oversample Example

refinements = 0

refinements = 1

refinements = 2

refinements = 3

refinements = 4

refinements = 5

• It is important to note that oversampling will not improve the solution!
• The solution on the left is solved on a "coarse" grid.
• The solution in the center is the same as on the left, but has been oversampled for visualization purposes.
• The solution on the right is for the same problem, but solved on a finer mesh (and is therefore closer to the true solution).

refinements = 0

refinements = 5

"Fine" grid