view +sbp/+implementations/intOpAWW_orders_2to2_ratio2to1.m @ 958:72cd29107a9a feature/poroelastic

Temporary changes in multiblock.DiffOp. Change traction operators in Elastic2dvariable to be true boundary operators. But adjoint FD conv test fails for dirichlet BC so need to debug!
author Martin Almquist <malmquist@stanford.edu>
date Wed, 05 Dec 2018 18:58:10 -0800
parents c923fe6197ff
children
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function [IC2F,IF2C,Hc,Hf] = IntOp_orders_2to2_ratio2to1(mc,hc,ACC)

% ACC is a string.
% ACC = 'C2F' creates IC2F with one order of accuracy higher than IF2C.
% ACC = 'F2C' creates IF2C with one order of accuracy higher than IC2F.
ratio = 2;
mf = ratio*mc-1; 
hf = hc/ratio;

switch ACC
    case 'F2C'
        [stencil_F2C,BC_F2C,HcU,HfU] = ...
        sbp.implementations.intOpAWW_orders_2to2_ratio_2to1_accC2F1_accF2C2;
    case 'C2F'
        [stencil_F2C,BC_F2C,HcU,HfU] = ...
        sbp.implementations.intOpAWW_orders_2to2_ratio_2to1_accC2F2_accF2C1;
end

stencil_width = length(stencil_F2C);
stencil_hw = (stencil_width-1)/2;
[BC_rows,BC_cols] = size(BC_F2C);

%%% Norm matrices %%%
Hc = speye(mc,mc);
HcUm = length(HcU); 
Hc(1:HcUm,1:HcUm) = spdiags(HcU',0,HcUm,HcUm);
Hc(mc-HcUm+1:mc,mc-HcUm+1:mc) = spdiags(rot90(HcU',2),0,HcUm,HcUm);
Hc = Hc*hc;

Hf = speye(mf,mf);
HfUm = length(HfU);
Hf(1:HfUm,1:HfUm) = spdiags(HfU',0,HfUm,HfUm);
Hf(mf-length(HfU)+1:mf,mf-length(HfU)+1:mf) = spdiags(rot90(HfU',2),0,HfUm,HfUm);
Hf = Hf*hf;
%%%%%%%%%%%%%%%%%%%%%%

%%% Create IF2C from stencil and BC
IF2C = sparse(mc,mf);
for i = BC_rows+1 : mc-BC_rows
    IF2C(i,ratio*i-1+(-stencil_hw:stencil_hw)) = stencil_F2C; %#ok<SPRIX>
end
IF2C(1:BC_rows,1:BC_cols) = BC_F2C;
IF2C(end-BC_rows+1:end,end-BC_cols+1:end) = rot90(BC_F2C,2);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%% Create IC2F using symmetry condition %%%%
IC2F = Hf\IF2C.'*Hc;