Continue to Site

Welcome to EDAboard.com

Welcome to our site! EDAboard.com is an international Electronics Discussion Forum focused on EDA software, circuits, schematics, books, theory, papers, asic, pld, 8051, DSP, Network, RF, Analog Design, PCB, Service Manuals... and a whole lot more! To participate you need to register. Registration is free. Click here to register now.

Question of using solution of Helmholtz equation to solve Poisson equation

Status
Not open for further replies.

Alan0354

Full Member level 4
Joined
Sep 6, 2011
Messages
214
Helped
30
Reputation
60
Reaction score
29
Trophy points
1,308
Activity points
2,709
Helmholtz equation stated that

\[\nabla^2 u(r,\theta,\phi) =-ku(r,\theta,\phi) = f(r,\theta,\phi) \]

This is being used for Poisson equation with zero boundary:

\[\nabla^2 u(r,\theta,\phi) = f(r,\theta,\phi) \]

and

\[u(a,\theta,\phi)=0\]

I just don't see how this can work as \[k=m^2\] is a number only.

If \[\nabla^2 u(r,\theta,\phi)=1\] which means \[ku(r,\theta,\phi)\] is only constant numbers depending on \[m\]!!!

If \[u(r,\theta,\phi)\] is a constant number only, that cannot be right?

Please explain. Thanks
 

Status
Not open for further replies.

Part and Inventory Search

Welcome to EDABoard.com

Sponsor

Back
Top