10 questions linked to/from 2D inhomogeneous biharmonic equation
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### Solving a 4th order PDE (Plate bending) [duplicate]

I'm trying to solve the following PDE but I'm getting this error. The PDE represents the bending of a thin plate. ...
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### Analytical solve for biharmonic equation [duplicate]

I want to analytical Solve or numerical solve by Mathematica a biharmonic equation with homogeneous boundary conditions homogeneous? I considered its solution using Fourier analysis, which is not ...
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### Future enhancements for the finite element method

How should the finite element method (FEM) framework in the language be extended to be more useful? With the release of version 12.0 all fundamental FEM solvers (linear, nonlinear, stationary, ...
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### Dynamic Euler–Bernoulli beam equation

I am trying to solve for the vibration of a Euler–Bernoulli beam. The equation is $\frac{\partial ^2u(t,x)}{\partial t^2}+\frac{\partial ^4u(t,x)}{\partial x^4}=0$ For the boundary conditions I ...
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### Solving a biharmonic eigenvalue Problem

I am interested in solving the following biharmonic eigenvalue problem. \begin{array}{cccc} & \Delta ^2 \Psi (x,y) = \lambda \Psi (x,y), & - \frac{\pi}{2} \le x \le \frac{\pi}{2} & -\...
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