p-Refinement
Section 5 · Increasing polynomial degree for improved approximation
Description
p-refinement increases the polynomial degree (p) of shape functions within elements to improve accuracy without changing mesh size.
Higher p values add internal nodes and enable better approximation of complex functions within each element.
Polynomial Degree (p)
Target Function
\( f(x) = \sin(2\pi x) \)
Display Options
Metrics
2
DOF (1D)
4
DOF (2D Quad)
2
Nodes (1D)
0.000
Max Error
Polynomial Terms:
x⁰, x¹
Basis Functions:
2
Legend
Target function f(x)
Interpolated approximation
Error region
Interpolation nodes