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Usage of the Finite Element Method embedded in NDSolve and details on the implementation of the fem in mathematica.

6 votes
Accepted

Problem with Neumann condition in quarter disc

Apparently NeumannValue doesn't like the square root, replacing it with the squared expression works correctly: NeumannValue[1000.3* (x/10.0), x^2 + y^2 >= 99.9]
lurscher's user avatar
  • 753
8 votes
2 answers
553 views

Discretizing regions with pointy boundaries

I'm trying to discretize a region with "pointy" boundaries to study dielectric breaking on electrodes with pointy surfaces. So far I've tried 3 types of boundaries, but the meshing functions stall ind …
lurscher's user avatar
  • 753
7 votes
1 answer
479 views

Problem with Neumann condition in quarter disc

Bug introduced in 10.0 and fixed in 10.2 So I'm following the available examples in version 10 for FEM, The plane stress operator is shown as this op0 = {Inactive[ Div][({{0, -((Y ν)/(1 - ν …
lurscher's user avatar
  • 753
1 vote
1 answer
744 views

Dirichlet conditions being ignored

I have the following domain: rA=ImplicitRegion[((x - 10)/0.2)^2 + y^2 <= 1 || ((x + 10)/0.2)^2 + y^2 <= 1, {x, y}] rB=ImplicitRegion[((x - 6)/0.2)^2 + (y + 20)^2 <= 1 || ((x + 6)/0.2)^2 + (y …
lurscher's user avatar
  • 753