SHARE
TWEET

Untitled

a guest Nov 19th, 2019 94 Never
Not a member of Pastebin yet? Sign Up, it unlocks many cool features!
  1. vSize =12;
  2. hSize = 10;
  3. V = 10;
  4. V_index = 75;
  5.  
  6. U = calculatePotentials(vSize,hSize,V,V_index);
  7. plotPotentials(U,vSize,hSize,V_index);
  8. ----------------------------------------------------------
  9. function U = calculatePotentials(hSize, vSize,U,uIndex)
  10. pCount = hSize*vSize;
  11. if uIndex>pCount
  12.    error('Index of point with potential(%d) is out of range(%d)',uIndex,pCount);
  13. end
  14.  
  15. if uIndex <=vSize || uIndex> vSize*(hSize-1) || mod(uIndex,vSize) == 0 || mod(uIndex,vSize) == 1
  16.     error('Point must be inside area');
  17. end
  18.    
  19. I = eye(vSize);
  20. I1 = diag([0 -ones(1,vSize-2) 0]);
  21. T = diag([1 4*ones(1,vSize-2) 1]) + diag([0 -ones(1,vSize-2)],1)+diag([-ones(1,vSize-2) 0],-1);
  22. C = repmat({T},hSize-2,1);
  23. H = kron(diag([1 zeros(1,hSize-2) 1]),I)+kron(diag([0 ones(1,hSize-2) 0]),T)+kron(diag([0 ones(1,hSize-2)],1),I1)+kron(diag([ones(1,hSize-2) 0],-1),I1);
  24.  
  25. H(uIndex,:) = 0;
  26. H(uIndex,uIndex) = 1;
  27. B = zeros(pCount,1);
  28. B(uIndex) = U;
  29.  
  30. U = gmres(H,B);
  31. end
  32. -----------------------------------------------------------------------------------
  33. function plotPotentials(U,hSize, vSize,V0_index)
  34. close all;
  35.  
  36. u_2d= reshape(U,vSize,hSize);
  37. contour(u_2d,50);
  38. colorbar;
  39. grid on;
  40. hold on;
  41. plot(floor(V0_index/vSize)+1,mod(V0_index,vSize),'k.','MarkerSize',10);
  42. title('Rozklad pola elektrycznego U($x_{i}$,$y_{i}$)','interpreter','latex')
  43. xlabel('i','interpreter','latex');
  44. ylabel('j','interpreter','latex');
  45. end
RAW Paste Data
We use cookies for various purposes including analytics. By continuing to use Pastebin, you agree to our use of cookies as described in the Cookies Policy. OK, I Understand
 
Top