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Monotone and Consistent discretization of the Monge-Ampere operator

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Academic year: 2021

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Figure 1: Examples of stencils V ⊆ Z 2 , containing 8, 16, 24 and 48 elements respectively
Figure 2: Left: A Stencil V , a superbase (e, f, g) ∈ V 3 , an orthogonal pair (f, g) ∈ V 2
Figure 3: Relative consistency error (D(u M ) − det(M))/D(u M ) for quadratic functions (9), with the schemes MA-LBR (top) and WS (bottom), using the stencils of Figure 1
Figure 4: Left: element e of largest euclidean norm of an M (κ, θ)-obtuse superbase. Center left: an eigenvector e of M (κ, θ)
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