A Gradient Weighted Moving Finite-Element Method with Polynomial Approximation of Any Degree

Figure 4

Nodes movement and related solution of Burgers equation with quadratic elements at 𝑡=0.5 second, 𝐶₁=10⁻³, 𝐶₂=10⁻⁴, 𝐶₃=10⁻⁵.

(a)

(b)