An Infinite Element Domain node () applies a real-valued coordinate scaling to a layer of virtual domains surrounding the physical region of interest. When the dependent variables vary slowly with radial distance from the center of the physical domain, the finite elements can be stretched in the radial direction such that boundary conditions on the outside of the infinite element layer are effectively applied at a very large distance from any region of interest.

To add an Infinite Element Domain to any Component, click Infinite Element Domain in the Definitions toolbar, or right-click the Definitions node under the Component and choose Infinite Element Domain. If the nodes under the Component node are grouped by type, you can instead right-click Artificial Domains under Definitions.

The Label is the default infinite element domain name.

The default Name (for the first infinite element domain in the model) is ie. The Name provides a namespace for variables created by the Infinite Element Domain node. For example, the scaled x coordinate can typically be accessed in equations and postprocessing as ie1.x. See the Equation View subnode for a complete list of available variables.

Select a set of domains conforming to the selected geometry type. See Standard Geometry Configurations.

Select a Type: Cartesian (the default), Spherical, Cylindrical, or User defined. If User defined is selected, first choose the Number of stretching directions appropriate for the geometrical configuration (1, 2, or 3). Then for each stretching direction specify a Distance function (SI unit: m), evaluating to the distance from the inner boundary of the infinite element domain measured in the stretching direction, and the Thickness (SI unit: m) of the domain in the same direction.

Select a Coordinate stretching type: Rational (the default) or User defined. See Infinite Element Implementation for a detailed explanation of the options.

For the default Rational stretching type, enter expressions for the Physical width (SI unit: m) and the Pole distance (SI unit: m). The default values, 1e3*dGeomChar and dGeomChar, respectively, lead to an infinite element domain that is very large compared to the geometry dimensions and with a nearly singular 1/r stretching.

For the User defined stretching type, select a Stretching function from functions defined under Global > Definitions or under Definitions in a component, or leave the default value None, which is interpreted as f(ξ) = ξ. Any function node defining a single function of one arguments is eligible for use as a stretching function. The argument is interpreted as a dimensionless distance, ξ, in the range 0 to 1.