Mercurial > repos > public > sbplib
diff +sbp/+implementations/intOpMC_orders_2to2_ratio2to1.m @ 608:c923fe6197ff feature/interpolation
Add inerpolation operator classes and implementations for MC and AWW.
author | Martin Almquist <malmquist@stanford.edu> |
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date | Sat, 14 Oct 2017 22:32:25 -0700 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/+implementations/intOpMC_orders_2to2_ratio2to1.m Sat Oct 14 22:32:25 2017 -0700 @@ -0,0 +1,35 @@ +function [IC2F,IF2C] = intOpMC_orders_2to2_ratio2to1(mc) + +mf = 2*(mc-1) + 1; + +stencil_F2C = [1.0./4.0,1.0./2.0,1.0./4.0]; +stencil_width = length(stencil_F2C); +stencil_halfwidth = (stencil_width-1)/2; + +BC_F2C = [1.0./2.0,1.0./2.0]; + +Hc = speye(mc,mc); +Hc(1,1) = 1/2; +Hc(end,end) = 1/2; + +Hf = 1/2*speye(mf,mf); +Hf(1,1) = 1/4; +Hf(end,end) = 1/4; + +IF2C = sparse(mc,mf); +[BCrows, BCcols] = size(BC_F2C); +IF2C(1:BCrows, 1:BCcols) = BC_F2C; +IF2C(mc-BCrows+1:mc, mf-BCcols+1:mf) = rot90(BC_F2C,2); + +for i = BCrows+1 : mc-BCrows + IF2C(i,(2*i-stencil_halfwidth-1) :(2*i+stencil_halfwidth-1))... + = stencil_F2C; +end + +IC2F = Hf\(IF2C'*Hc); + + + + + +