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Quick Math Intuitions

Sharing quick intuitions for math ideas

Tag: finite element methods

Reproducing a transport instability in convection-diffusion equation

Stefano Ottolenghi2020-11-102020-11-190

Drawing from Larson-Bengzon FEM book, I wanted to experiment with transport instabilities. It looks there might be an instability in my ocean-ice model but before being able to address that,…

How do Dirichlet and Neumann boundary conditions affect Finite Element Methods variational formulations?

Stefano Ottolenghi2020-10-212020-11-110

To solve a classical second-order differential problem     with FEM, we first need to derive its weak formulation. This is achieved by multiplying the equation by a test function…

What is the difference between Finite Differences and Finite Element Methods?

Stefano Ottolenghi2020-05-272020-11-110

With Finite Differences, we discretize space (i.e. we putĀ  a grid on it) and we seek the values of the solution function at the mesh points. We still solve a…

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