view +sbp/+implementations/intOpMC_orders_4to4_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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% Marks New interpolation operators
% 4th order to 2nd order accurate (diagonal norm) 
% M=9 is the minimum amount of points on the coarse mesh

function [IC2F,IF2C] = intOpMC_orders_4to4_ratio2to1(M_C)

M_F=M_C*2-1;

% Coarse to fine
I1=zeros(M_F,M_C);
t1=[  2047/2176 , 129/1088 , -129/2176 , 0 , 0 , 0 , 0 ,...
      0  ;...
    429/944 , 279/472 , -43/944 , 0 , 0 , 0 , 0 , 0 ;...
    111/2752 , 4913/5504 , 3/32 , -147/5504 ,...
      0 , 0 , 0 , 0  ;...
    -103/784 , 549/784 , 387/784 , -1/16 , 0 ,...
      0 , 0 , 0  ;...
    -335/3072 , 205/768 , 2365/3072 , 49/512 ,...
      -3/128 , 0 , 0 , 0  ;...
    -9/256 , 5/256 , 129/256 , 147/256 ,...
      -1/16 , 0 , 0 , 0  ;...
    5/192 , -59/1024 , 43/512 , 2695/3072 ,...
      3/32 , -3/128 , 0 , 0 ;...
    23/768 , -37/768 , -43/768 , 147/256 ,...
      9/16 , -1/16 , 0 , 0  ;...
    13/2048 , -11/1024 , -43/2048 , 49/512 ,...
      55/64 , 3/32 , -3/128 , 0 ;...
    -1/384 , 1/256 , 0 , -49/768 , 9/16 ,...
      9/16 , -1/16 , 0  ;...
    -1/1024 , 3/2048 , 0 , -49/2048 , 3/32 ,...
      55/64 , 3/32 , -3/128];


t2=[-3/128 3/32 55/64 3/32 -3/128];
t3=[-1/16 9/16 9/16 -1/16];
I1(1:11,1:8)=t1;
I1(M_F-10:M_F,M_C-7:M_C)=fliplr(flipud(t1));
I1(12,5:8)=t3;
for i=13:2:M_F-12
    j=(i-1)/2;
    I1(i,j-1:j+3)=t2;
    I1(i+1,j:j+3)=t3;
end

% Fine to coarse
I2=zeros(M_C,M_F);

t1=[ 2047/4352 , 429/544 , 111/2176 , -103/544 ...
      , -335/2176 , -27/544 , 5/136 , 23/544 ,...
      39/4352 , -1/272 , -3/2176 ;...
    129/7552 , 279/944 , 4913/15104 , 549/1888 ...
      , 205/1888 , 15/1888 , -3/128 , -37/1888 ...
      , -33/7552 , 3/1888 , 9/15104 ];
t2=[-3/256 -1/32 3/64 9/32 55/128 9/32 3/64 -1/32 -3/256];

I2(1:2,1:11)=t1;      

I2(M_C-1:M_C,M_F-10:M_F)=fliplr(flipud(t1));

for i=3:M_C-2
    j=2*(i-3)+1;
    I2(i,j:j+8)=t2;
end

IC2F = sparse(I1);
IF2C = sparse(I2);