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Selected Topics in Numerical Methods in Science and Technology

In the previous lecture we have investigated numerical methods for the simulation of viscous flow. This relates for example to the behavior of lava or ice. In our programming sessions we got as far as solving Poisson's equation with adaptive meshes on curved geometries.

In this semester we will add the advection-diffusion and the Stokes equations. We will review the theory and several state-of-the-art numerical methods. In the programming sessions we will concentrate on a second-order finite element discretization of the advection-diffusion equation.

Note that this lecture has only one session per week.

For students who did not attend my previous lecture, it will still be possible to participate if they are skilled in C programming and using the revision control system git.

The lecture takes place on Wed 8:30-10:00 in We6 5.002. We will meet for the first lecture on Monday, April 8, at 8:15 as required by the Vorlesungsverzeichnis.