autopdex.spaces.fem_ini_simplex

autopdex.spaces.fem_ini_simplex(x, xI, fI, static_settings, set)

Compute finite element shape functions directly in the initial/physical configuration.

Parameters:

• x (jnp.ndarray) – The position of the evaluation point.

• xI (jnp.ndarray) – The positions of neighboring nodes.

• fI (jnp.ndarray) – The data at neighboring nodes.

• static_settings (dict) – Dictionary containing static settings that define the solution space and other parameters. Keywords used: - ‘shape function mode’: Mode of shape function computation (‘direct’ or ‘compiled’).

• set (int) – The index of the current set of settings being used.

Returns:

The computed finite element shape functions at the evaluation point, either as shape functions or the evaluated function.

Return type:

jnp.ndarray

Notes

• This method computes the polynomial order based on the number of nodes per element.

• The method supports different dimensions and orders for the polynomial basis functions.