% xyd=x-y-delta(1:2);
- sol = (x1-y1-d1)*(x2-y2-d2)*G00(-0.5,x1,x2,y1+d1,y2+d2,d3)...
- -(x1-y1-d1)*g0(0.5,x1,y1+d1,sqrt((x2-y2-d2)^2+d3^2))...
- -(x2-y2-d2)*g0(0.5,x2,y2+d2,sqrt((x1-y1-d1)^2+d3^2))...
- +1/3*((x1-y1-d1)^2+(x2-y2-d2)^2+d3^2)^(1.5);
+ sol = (x1-y1-d1)*(x2-y2-d2);
+
+ if(sol~=0)
+ sol = sol * G00(-0.5,x1,x2,y1+d1,y2+d2,d3);
+ end
+
+ if((x1-y1-d1)~=0)
+ sol = sol - (x1-y1-d1)*g0(0.5,x1,y1+d1,sqrt((x2-y2-d2)^2+d3^2));
+ end
+
+ if((x2-y2-d2)~=0)
+ sol = sol -(x2-y2-d2)*g0(0.5,x2,y2+d2,sqrt((x1-y1-d1)^2+d3^2));
+ end
+
+ sol = sol + 1/3*((x1-y1-d1)^2+(x2-y2-d2)^2+d3^2)^(1.5);
+
+
+% sol = (x1-y1-d1)*(x2-y2-d2)*G00(-0.5,x1,x2,y1+d1,y2+d2,d3)...
+% -(x1-y1-d1)*g0(0.5,x1,y1+d1,sqrt((x2-y2-d2)^2+d3^2))...
+% -(x2-y2-d2)*g0(0.5,x2,y2+d2,sqrt((x1-y1-d1)^2+d3^2))...
+% +1/3*((x1-y1-d1)^2+(x2-y2-d2)^2+d3^2)^(1.5);
% sol = xyd(1)*xyd(2)*G00(-0.5,x,y+delta(1:2),delta(3))...
% -xyd(1)*g0(0.5,x(1),y(1)+delta(1),norm([xyd(2) delta(3)]))...
% sol = nan;
if(p==-1.5)
if(l==0)
- sol = -sqrt((y1-x1)^2+(y2-x2)^2)/((y1-x1)*(y2-x2));
+ sol = -sqrt((y1-x1)^2+(y2-x2)^2)/((y1-x1)*(y2-x2));
else
sol = sign((y1-x1)*(y2-x2))/(2*abs(l)) ...
* acos(-2*(y1-x1)^2*(y2-x2)^2 ...
/(((y1-x1)^2+l^2)*((y2-x2)^2+l^2))+1);
end
elseif(p==-0.5)
- sol = 2*p*l^2*(G00(p-1,y1,y2,x1,x2,l) ...
- + (y1-x1)*g0(p,y2,x2,sqrt((y1-x1)^2+l^2)) ...
- + (y2-x2)*g0(p,y1,x1,sqrt((y2-x2)^2+l^2)))/(2*p+2);
+ sol = 2*p*l^2*G00(p-1,y1,y2,x1,x2,l);
+ if((y1-x1)~=0)
+ sol = sol + (y1-x1)*g0(p,y2,x2,sqrt((y1-x1)^2+l^2));
+ end
+ if((y2-x2)~=0)
+ sol = sol + (y2-x2)*g0(p,y1,x1,sqrt((y2-x2)^2+l^2));
+ end
+ sol = sol / (2*p+2);
else
error 'no case for p defined'
end
A = zeros(N);
-
% untere schranke s t obere schranke k l
intF = @(f,s1,s2,k1,k2,t1,t2,l1,l2) ...
f(k1,k2,l1,l2)-f(k1,k2,l1,t2)-f(k1,k2,t1,l2)+f(k1,k2,t1,t2)...
-f(s1,k2,l1,l2)+f(s1,k2,l1,t2)+f(s1,k2,t1,l2)-f(s1,l2,t1,t2)...
+f(s1,s2,l1,l2)-f(s1,0,l1,t2)-f(s1,s2,t1,l2)+f(s1,s2,t1,t2);
-% intF(@(s1,s2,k1,k2,t1,t2,l1,l2) F_par(s1,s2,k1,k2,t1,t2,l1,l2,d(1),d(2),d(3))...
-% ,s1,s2,k1,k2,t1,t2,l1,l2);
for j = 1:N
-
-
for k = 1:N
-
-
ej = coordinates(elements(j,:)',:);
ek = coordinates(elements(k,:)',:);
- d = ek(1,:) - ej(1,:)
-
+ d = ek(1,:) - ej(1,:);
+
A(j,k) = 1/ (4*pi) *...
intF(@(x1,x2,y1,y2) F_par(x1,x2,y1,y2,d(1),d(2),d(3))...
,ej(1,1),ej(1,2),ej(2,1), ej(3,2),ek(1,1), ek(1,2),ek(2,1), ek(3,2));
A
b = sqrt(sum(quad_norm(coordinates,elements,'w').^2,2))
-
-
-x = A\b;
\ No newline at end of file
+x = A\b
\ No newline at end of file