This is an example of the implementation of non-intrusive PGD algorithm with Matlab and Abaqus.
Under the linear elasticity basis, taking material properties (Young's modulus) as extra-coordinates, the displacement is represented as a sum of spatial modes and parametric modes.
This code uses finite element discretization for both modes, and solve them with alternating direction iteration scheme, finally obtaining the vademecum.
A simple post-processing is also included.