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comparison +sbp/+implementations/d2_4.m @ 267:f7ac3cd6eeaa operator_remake

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Sparsified all implementation files, removed all matlab warnings, fixed small bugs on minimum grid points.
author Martin Almquist <martin.almquist@it.uu.se>
date Fri, 09 Sep 2016 14:53:41 +0200
parents bfa130b7abf6
children 8b8672134be8
comparison
equal deleted inserted replaced
266:bfa130b7abf6 267:f7ac3cd6eeaa
3 BP = 4; 3 BP = 4;
4 if(m<2*BP) 4 if(m<2*BP)
5 error(['Operator requires at least ' num2str(2*BP) ' grid points']); 5 error(['Operator requires at least ' num2str(2*BP) ' grid points']);
6 end 6 end
7 7
8 e_1=zeros(m,1);e_1(1)=1; 8 e_1=sparse(m,1);e_1(1)=1;
9 e_m=zeros(m,1);e_m(m)=1; 9 e_m=sparse(m,1);e_m(m)=1;
10 10
11 e=ones(m,1); 11 e=ones(m,1);
12 H=spdiags(e,0,m,m); 12 H=spdiags(e,0,m,m);
13 %H=diag(ones(m,1),0); 13 %H=speye(m,m);
14 14
15 H(1:4,1:4)=diag([17/48 59/48 43/48 49/48]); 15 H(1:4,1:4)=diag([17/48 59/48 43/48 49/48]);
16 H(m-3:m,m-3:m)=rot90(diag([17/48 59/48 43/48 49/48]),2); 16 H(m-3:m,m-3:m)=rot90(diag([17/48 59/48 43/48 49/48]),2);
17 H=H*h; 17 H=H*h;
18 HI=inv(H); 18 HI=inv(H);
22 %Q=(-1/12*diag(ones(m-2,1),2)+8/12*diag(ones(m-1,1),1)-8/12*diag(ones(m-1,1),-1)+1/12*diag(ones(m-2,1),-2)); 22 %Q=(-1/12*diag(ones(m-2,1),2)+8/12*diag(ones(m-1,1),1)-8/12*diag(ones(m-1,1),-1)+1/12*diag(ones(m-2,1),-2));
23 Q_U = [0 0.59e2 / 0.96e2 -0.1e1 / 0.12e2 -0.1e1 / 0.32e2; -0.59e2 / 0.96e2 0 0.59e2 / 0.96e2 0; 0.1e1 / 0.12e2 -0.59e2 / 0.96e2 0 0.59e2 / 0.96e2; 0.1e1 / 0.32e2 0 -0.59e2 / 0.96e2 0;]; 23 Q_U = [0 0.59e2 / 0.96e2 -0.1e1 / 0.12e2 -0.1e1 / 0.32e2; -0.59e2 / 0.96e2 0 0.59e2 / 0.96e2 0; 0.1e1 / 0.12e2 -0.59e2 / 0.96e2 0 0.59e2 / 0.96e2; 0.1e1 / 0.32e2 0 -0.59e2 / 0.96e2 0;];
24 Q(1:4,1:4)=Q_U; 24 Q(1:4,1:4)=Q_U;
25 Q(m-3:m,m-3:m)=rot90( -Q_U(1:4,1:4) ,2 ); 25 Q(m-3:m,m-3:m)=rot90( -Q_U(1:4,1:4) ,2 );
26 26
27 D1=HI*(Q-1/2*e_1*e_1'+1/2*e_m*e_m') ; 27 D1=H\(Q-1/2*(e_1*e_1')+1/2*(e_m*e_m')) ;
28 28
29 M=-spdiags([-e 16*e -30*e 16*e -e], -2:2, m, m)/12; 29 M=-spdiags([-e 16*e -30*e 16*e -e], -2:2, m, m)/12;
30 30
31 %M=-(-1/12*diag(ones(m-2,1),2)+16/12*diag(ones(m-1,1),1)+16/12*diag(ones(m-1,1),-1)-1/12*diag(ones(m-2,1),-2)-30/12*diag(ones(m,1),0)); 31 %M=-(-1/12*diag(ones(m-2,1),2)+16/12*diag(ones(m-1,1),1)+16/12*diag(ones(m-1,1),-1)-1/12*diag(ones(m-2,1),-2)-30/12*diag(ones(m,1),0));
32 32
35 35
36 M(m-3:m,m-3:m)=rot90( M_U ,2 ); 36 M(m-3:m,m-3:m)=rot90( M_U ,2 );
37 M=M/h; 37 M=M/h;
38 38
39 S_U=[-0.11e2 / 0.6e1 3 -0.3e1 / 0.2e1 0.1e1 / 0.3e1;]/h; 39 S_U=[-0.11e2 / 0.6e1 3 -0.3e1 / 0.2e1 0.1e1 / 0.3e1;]/h;
40 S_1=sparse(zeros(1,m)); 40 S_1=sparse(sparse(1,m));
41 S_1(1:4)=S_U; 41 S_1(1:4)=S_U;
42 S_m=sparse(zeros(1,m)); 42 S_m=sparse(sparse(1,m));
43 S_m(m-3:m)=fliplr(-S_U); 43 S_m(m-3:m)=fliplr(-S_U);
44 44
45 45
46 D2=HI*(-M-e_1*S_1+e_m*S_m); 46 D2=H\(-M-e_1*S_1+e_m*S_m);
47 S_1 = S_1'; 47 S_1 = S_1';
48 S_m = S_m'; 48 S_m = S_m';
49 end 49 end