Recent content by Hosein Javanmardi

Yes, I know that the laplace equation is valid only on interior nodes. all that you mentioned is completely correct. but I was just wondering how come the linear interpolation method and the discrete laplace equation on the node will result the same equation(if my interpolation was correct). by...

thank you again Mr. Colby. to use linear interpolation, is it enough to say: $$4A_z(x_b,y_b)=A_z(x_b-h,y_b)+A_z(x_b+h,y_b)+A_z(x_b,y_b-h)+A_z(x_b,y_b+h)$$ although I was wondering that this interpolation plot would lead to the same laplace equation. and it is in contrast with the magnetostatic...

Hello again. the actual problem is more complicated. in order to realize a more realistic one, I will add a fourth area above (1) and (2). in this example the equations are as following: in area (1) and (3) and (4): $$\nabla^2A_z=0$$ in area (2): $$\nabla^2A_z=f$$ where ##f## is a given...

thank you Mr Colby for sharing knowledge. it seems genius to use interpolation, I don't know how to formulate. but thus far I have written this equation based on Ampere's circuit law around the singular node...

in Finite Difference Method (FDM), the boundary conditions can be implemented by applying the continuity of parallel component of magnetic field intensity. when it comes to the interface of two areas, it is done at ease, but consider this case at the red point: in FDM we exactly require on...