eldorado.tu-dortmund.de/server/api/core/bitstreams/12326b08-6f24-4a78-a7dd-c9e426ac12fe/content
simulations.
Velocity Microstructure
0.0 0.2 0.4 0.6 0.8 1.0
y
0.00
0.02
0.04
0.06
0.08
0.10
x -v
e lo
c it y
2D-FEM
Discrete
0.0 0.2 0.4 0.6 0.8 1.0
y
0.70
0.80
0.90
1.00 2D-FEM
Discrete
Figure 1: Fully [...] (1981).
[8] Nashed, M. Z. and Wong, J. S. Some Variants of a Fixed Point Theorem of Krasnoselskii and Applications to Nonlinear Integral Equations. Journal of Mathematics and Mechanics, 18(8):767–777, [...] −F(DII,r, λ) + G(DII,r, λ)
) ξ dΩ ∀λ, ξ ∈ T,u ∈ V, (7)
〈Nλ(u)λ, ξ〉 =
∫ Ω
u · ∇λ ξ dx ∀λ, ξ ∈ T,u ∈ V, (8)
and set
Aλ(u, λ) := Nλ(u) +Mλ(u, λ). (9)
The linear forms B : V −→ Q′, lu : V −→ R, and lλ : T −→ R …
