Questions tagged [finite-element-method]
Usage of the Finite Element Method embedded in NDSolve and details on the implementation of the fem in mathematica.
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Using finite difference centeral form to solve two coupled of PDE's Numericaly [closed]
I'm trying in this code to Use finite difference centeral form to solve two coupled of PDE's Numericaly :
here the detiles of the mathematical equations after discritizing them manually by using ...
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Can we construct 3D meshes that respect internal boundaries?
In a recent answer to a question on constructing 2D meshes with internal boundaries @user21 provided an extremely useful answer which can be found here.
I have tried to extend this to 3D by ...
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How to Solve PDE using Inactive Form
I am trying to solve this PDE using the inactive form, however I ran into error stating that the: The PDE coefficient 0....
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Mesh Rectangle with a fixed inner Line
In this simple example I try to mesh a rectangle, the mesh should include a fixed line.
Using "IncludePoints" I get
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PDE in inactive form
I am trying to solve this complex PDE, however I am getting an error from Mathematica stating: The maximum derivative order of the nonlinear PDE coefficients for the Finite Element Method is larger ...
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Solving Poisson's Equation Numerically
I'm trying to numerically solve Poisson's equation for the following scenario:
The potential inside a cylinder of radius R=1 and height H=2 with uniform charge density(which I'll set to 1).
Poisson's ...
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Speed up a finite element solver with small features (full code without error)
This is a question similar to the previous one with small features. I'm solving this problem by modifying the method of @Alex. The code can run without error, but it was always stuck at ~...
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How can I color a cylinder inside a sphere?
I am trying to draw a figure and color it like this from here:
I tried
CSGRegion["Difference", {Ball[{0, 0, 0}, 5], Cylinder[{{0, 0, -5}, {0, 0, 5}}, 2]}]
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Using NDEigensystem for infinite interval
I'm trying to find eigenvalues and eigenfunctions for a differential operator H=p''[x]-V[x]*p[x]. Actually, V[x] is a potential (...
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How to set up line search in AceFEM for plasticity with non-associative asymmetric yield?
I would need some help when introducing line-search inside Newton-Raphson method inside AceGEN.
I'm working with a custom plasticity model implemented in AceGEN/AceFEM using standard Tangent and ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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