Analysis and Finite Element Approximation of a Nonlinear Stationary Stokes Problem Arising in Glaciology

Figure 1

The error 𝐸^𝑢_𝑘 with respect to 𝑘 for each method (fixed point: 𝛾=0, hybrid: 𝛾=0.5, Newton: 𝛾=1). The error 𝐸^𝑢_𝑘 obtained with the coarsest mesh is displayed on (a) and the error 𝐸^𝑢_𝑘 obtained with the finest mesh is displayed on (b).

(a)

(b)