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Newest 'finite-element-method' Questions - Mathematica Stack Exchange
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Learn more about TeamsQuestions tagged [finite-element-method]
Usage of the Finite Element Method embedded in NDSolve and details on the implementation of the fem in mathematica.
1,631 questions
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5
votes
0
answers
147
views
Can a Mesh be generated directly without using ListContourPlot?
Can a Mesh be generated directly without using ListContourPlot?
Background:
In this quite wonderful answer to Finding optimal ...
4
votes
1
answer
130
views
Mesh Generation for 4D Coordinates
I am trying to create a response surface involving 4 input parameters and 1 output parameter from an unstructured data set with 30 data points from which I can obtain an output value from any ...
1
vote
1
answer
143
views
Can CFD convergence be improved? (Airflow past a car)
This post is similar to one posted to the Wolfram Community here.
The notebook can be downloaded at that site.
Introduction
This notebook is an attempt to model airflow past a moving vehicle. It ...
7
votes
2
answers
669
views
General form of Green's identity used by Mathematica
modified
Mathematica FiniteElementMethod methods use Green's identity in a more general form:
The parameter $c$ (scalar or matrix) may depend on ...
0
votes
0
answers
99
views
Pure bending boundary conditions in AceGEN/AceFEM
I have a column beam (x = 10, y = 1, z = 1) and would like to prescribe pure bending conditions around Y axis. How can I achieve that in AceGEN/AceFEM?
Edit: by pure bending I mean applying equal and ...
3
votes
1
answer
115
views
Single mesh element marker for each boundary region
I am using StructuredMesh for generating a second order mesh for plane figures. Afterwards I use ToBoundaryMesh to generate the ...
1
vote
0
answers
69
views
How to reduce the size of the output `InterpolatingFunction` from `NDSolve`? [closed]
This is my codes to calculate a wave equation by NDSolveValue:
...
5
votes
1
answer
132
views
Trouble with "RegionMarker" in Mathematica FEM Package
I’m encountering issues while using the "RegionMarker" option to label different subregions in a mesh for solving PDEs with Mathematica’s FEM package (NDSolve/ToElementMesh). Despite ...
6
votes
3
answers
214
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Incorrect results when solving BVP with 3 non-linear ODEs
This is a build-up question from my previous post.
I am currently having trouble to produce the correct trend using the NDSolve FEM results. I realized that no matter which parameters I changed, the ...
1
vote
0
answers
61
views
Why does the "No Dirichlet condition" warning appear for fine mesh but not for coarse mesh?
It is known that the solution of the Laplace equation with exclusively Neumann boundary conditions is ambiguous. Wolfram Mathematica warns about this by submitting messages like this one:
No ...
5
votes
1
answer
109
views
Could not generate mesh when the mesh count is too large
I am trying to generate 1D mesh points on x axis, shown below:
...
2
votes
1
answer
98
views
How to write system of 1D non-linear ODEs in inactive form?
I am solving a system of non-constant coefficient, non-linear ODEs, shown as follows:
$$
\frac{\partial}{\partial x} \left[ - B(x) \left( \frac{\partial C_{na}}{\partial x} + C_{na} \frac{\partial y}{\...
0
votes
0
answers
89
views
PDE Solution not converging
I am trying to determine if my solution converges, by calculating the residual of my PDE. I have already gotten help previously however I realized that the issue still persist. By plotting my solution ...
0
votes
0
answers
48
views
PDE Solution not converging at transition point
I am having issues with getting my solution to converge. Here I calculate the normalised residual and plot it and noticed that the residual is quite high at the transition points (I use multiple tanh ...
7
votes
1
answer
221
views
Structured mesh for a rectangle with two holes inside
I would like to use the FEMAddOns package to make a structured mesh (with quad elements with InterpolationOrder -> 2, "MeshOrder" -> 2 ) with two ...
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