annotate plotDerivative2d.jl @ 50:2a7d0ed7ac10

Add script for differentiation and plotting of 2d function
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 11 Jan 2019 11:18:13 +0100
parents
children 4300a3fbd818
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
50
2a7d0ed7ac10 Add script for differentiation and plotting of 2d function
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
1 g = sbp.grid.EquidistantGrid((100,75),((0, 0), (2pi, 3/2*pi)))
2a7d0ed7ac10 Add script for differentiation and plotting of 2d function
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
2 op = sbp.readOperator("d2_4th.txt","h_4th.txt")
2a7d0ed7ac10 Add script for differentiation and plotting of 2d function
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
3 Laplace = sbp.Laplace2D(g,1,op)
2a7d0ed7ac10 Add script for differentiation and plotting of 2d function
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
4
2a7d0ed7ac10 Add script for differentiation and plotting of 2d function
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
5 init(x,y) = sin(x) + cos(y)
2a7d0ed7ac10 Add script for differentiation and plotting of 2d function
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
6 v = sbp.grid.evalOn(g,init)
2a7d0ed7ac10 Add script for differentiation and plotting of 2d function
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
7
2a7d0ed7ac10 Add script for differentiation and plotting of 2d function
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
8 u = zeros(length(v))
2a7d0ed7ac10 Add script for differentiation and plotting of 2d function
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
9
2a7d0ed7ac10 Add script for differentiation and plotting of 2d function
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
10 sbp.apply!(Laplace,u,v)
2a7d0ed7ac10 Add script for differentiation and plotting of 2d function
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
11
2a7d0ed7ac10 Add script for differentiation and plotting of 2d function
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
12 @show u
2a7d0ed7ac10 Add script for differentiation and plotting of 2d function
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
13 @show u'*u
2a7d0ed7ac10 Add script for differentiation and plotting of 2d function
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
14
2a7d0ed7ac10 Add script for differentiation and plotting of 2d function
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
15 sbp.grid.plotgridfunction(g,u)
2a7d0ed7ac10 Add script for differentiation and plotting of 2d function
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
16