New answers tagged finite-element-method
1
vote
Resolving singularity issues in NDSolve for nonlinear PDEs
and the plotted figure is nothing but an empty box
This is a work around which gives non empty plot. It still generates some warnings though, but the plot looks OK
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- 150k
10
votes
FiniteElement method cannot handle $\frac{\partial^2 u}{\partial x \partial y}=1$ well?
The problem is that there are no boundary conditions at $x=1, y=1$. As we know, in this case Mathematica FEM has an automatic option to apply zero Neumann value. Since these boundary conditions are ...
- 48.8k
6
votes
FiniteElement method cannot handle $\frac{\partial^2 u}{\partial x \partial y}=1$ well?
final modification
Strange!
If we use Mathematicas FEM capabilities step by step, introducing DirichletConditions at the end, we get better results:
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- 56.8k
6
votes
Convection diffusion equation solve in a rectangular domain
I'd like to take Alex's approach and fix some issues in it and show a much more concise code.
The mesh generation remains exactly the same and is re-quoted here for convenience.
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- 40.7k
5
votes
Convection diffusion equation solve in a rectangular domain
To solve this problem, we can use Mathematica FEM and incompressible viscous flow model. First, we generate mesh as follows
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- 48.8k
3
votes
How to convert a segmented 3D image into a FE mesh with different sub-regions?
This is, I think, a tricky problem in general. Here is a workflow, that I hope works reasonably well, also beyond this example.
Create the test data:
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- 40.7k
9
votes
Accepted
How can we improve transonic flow visualization?
To resolve boundary layer, we made the code with dense mesh around airfoil and with potential flow as initial data, therefore we have
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- 48.8k
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