18-303f14.jpg
Description:
Colors of A-1 where A is a discretized ∇2 with Dirichlet boundary conditions. Top: several columns in 1d (Ω = [0,L] = [0,1]). Bottom: two columns in 2d (Ω = [1,-1] x [-1,1]. In both 1d and 2d, the location of minimum corresponds to the index of the column: this is the effect of the unit-vector “source” or “force” = 1 at that position (and = 0 elsewhere). Image by Steven G. Johnson.
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18-303f14.jpg
Alt text:
Columns of a matrix inverse in 1D and 2D.
Caption:
Colors of A\-1 where A is a discretized ∇2 with Dirichlet boundary conditions. Top: several columns in 1d (Ω = [0,L] = [0,1]). Bottom: two columns in 2d (Ω = [1,-1] x [-1,1]. In both 1d and 2d, the location of minimum corresponds to the index of the column: this is the effect of the unit-vector “source” or “force” = 1 at that position (and = 0 elsewhere). (Image by Steven G. Johnson.)
Credit:
Image by Steven G. Johnson.
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Fall
2014
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