Add a Weak Contribution node (

) under
Definitions >
Equation Contributions in a model component to add a weak expression integrated on a selection to the overall system of equations.
The Settings window contains the following sections:
Select the Geometric entity level of the selection over which the weak expression is to be integrated. The default level is the
Domain level.
If the component where the weak contribution is added contains attached extra dimensions, optionally select a valid attached dimension from the Extra dimension attachment list and specify a selection in the attached extra dimension. This will also filter the base selection, which will be applicable only where the extra dimension has been attached.
When the Geometric Entity Level is set to
Boundary, you can extend the selection to include all boundaries between individual mesh elements inside a domain selection. Note that the selection is specified on the domain level, but the resulting selection is still a boundary selection.
Enter a Weak expression valid on the feature selection.
The default Quadrature method is
Gauss, which uses a pattern of integration points in the interior of mesh elements. Choose instead
Gauss-Lobatto to use a different pattern including points at mesh element nodes. These predefined patterns are constructed so that a polynomial of at most the specified
Integration order will be integrated exactly. If you have added custom Integration Rule nodes under
Global Definitions, these are also available in the
Quadrature method setting.
For the Gauss and
Gauss-Lobatto quadrature methods, choose a suggested
Integration order or
User defined which will expose the
Order expression field. The suggested even orders from
0 to
8 are available in all dimensions. The default is
4 which is appropriate for a second-order equation using quadratic shape functions. An order entered as a user-defined parameter expression must evaluate to an integer, but may be odd. The maximum order depends on the space dimension. It is
30 in 2D and
14 in 3D.
Choose a frame from the Integrate on frame list to set the volume element in the weak form integral. The default is
Spatial.