Register to reply

FEM software? Poisson equation: Boundary conditions for a charged boundary

Share this thread:
Dec5-11, 11:00 AM
P: 1
Hi all,

I want to calculate the electrostatic potential for an two-dimensional area with given Dirichlet boundary conditions (say, a square) with a charged ring in it (like a wedding ring, but inifinitely thin) with a given line charge density. I figured out that the problem should be solvable if I divided up the whole area into two areas: inside (solution phi_1(r)) and outside (solution phi_2(r)) the ring, connected with the boundary conditions


d.../dn is the normal derivative, and sigma is the position-dependent line charge along the ring.

If you want, you can also think about the physics behind this, but my real question is about the mathematical issue: Do you know any (free) FEM software that can implement those conditions? I read into NGsolve and ELMER until now, and I don't think they can do it (at least, in a reasonable amout of my time configuring it).

Phys.Org News Partner Physics news on
Vibrational motion of a single molecule measured in real time
Researchers demonstrate ultra low-field nuclear magnetic resonance using Earth's magnetic field
Bubbling down: Discovery suggests surprising uses for common bubbles

Register to reply

Related Discussions
Boundary conditions for Laplace's equation Classical Physics 1
Magnetostatic field: solution to Poisson's equation and Boundary Conditions Classical Physics 1
Find Flux Density On One Side of Dielectric Boundary Given Boundary Conditions Advanced Physics Homework 0
Green's function for Poisson equation in a box with both mixed boundary conditions Differential Equations 0
Boundary conditions for charged cylinder Introductory Physics Homework 0