This test calculates the convergence rates of a Q9 mesh using a manufactured solution in which

By substituting and into the governing equation and derive the body source terms, we have:

Three uniform meshes are considered:

Coarse mesh: 81 nodes and 64 elements (mesh size = 0.1250)

Fine mesh: 289 nodes and 256 elements (mesh size = 0.0625)

Finer mesh: 1089 nodes and 1024 elements (mesh size = 0.0313)

The element type is Q9.

Parameter	Value
Young's Modulus	2.23 kPa
Poisson's ratio	0.3

Plane stress conditions applied.

The body forces bx and by are considered as applied loads in this test.

The boundary conditions are fixed at their manufactured solution values on all boundaries (top, bottom, left and right edges).