Dec5-11, 11:00 AM
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).
|Register to reply|
|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|