Mercurial > repos > public > sbplib

annotate +sbp/+implementations/intOpMC_orders_2to2_ratio2to1.m @ 1037:2d7ba44340d0 feature/burgers1d

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Pass scheme specific parameters as cell array. This will enabale constructDiffOps to be more general. In addition, allow for schemes returning function handles as diffOps, which is currently how non-linear schemes such as Burgers1d are implemented.
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Fri, 18 Jan 2019 09:02:02 +0100
parents c923fe6197ff
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
608
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
1 function [IC2F,IF2C] = intOpMC_orders_2to2_ratio2to1(mc)
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
2
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
3 mf = 2*(mc-1) + 1;
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
4
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
5 stencil_F2C = [1.0./4.0,1.0./2.0,1.0./4.0];
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
6 stencil_width = length(stencil_F2C);
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
7 stencil_halfwidth = (stencil_width-1)/2;
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
8
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
9 BC_F2C = [1.0./2.0,1.0./2.0];
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
10
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
11 Hc = speye(mc,mc);
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
12 Hc(1,1) = 1/2;
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
13 Hc(end,end) = 1/2;
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
14
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
15 Hf = 1/2*speye(mf,mf);
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
16 Hf(1,1) = 1/4;
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
17 Hf(end,end) = 1/4;
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
18
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
19 IF2C = sparse(mc,mf);
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
20 [BCrows, BCcols] = size(BC_F2C);
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
21 IF2C(1:BCrows, 1:BCcols) = BC_F2C;
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
22 IF2C(mc-BCrows+1:mc, mf-BCcols+1:mf) = rot90(BC_F2C,2);
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
23
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
24 for i = BCrows+1 : mc-BCrows
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
25 IF2C(i,(2*i-stencil_halfwidth-1) :(2*i+stencil_halfwidth-1))...
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
26 = stencil_F2C;
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
27 end
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
28
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
29 IC2F = Hf\(IF2C'*Hc);
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
30
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
31
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
32
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
33
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
34
c923fe6197ff Add inerpolation operator classes and implementations for MC and AWW.
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
35