18 citations · 18 across the 1 of their papers we have counts for
3 papers
Hybrid FEM-NN models: Combining artificial neural networks with the finite element method
Sebastian K. Mitusch, Simon W. Funke, Miroslav Kuchta
We present a methodology combining neural networks with physical principle constraints in the form of partial differential equations (PDEs). The approach allows to train neural net…
Automatic shape derivatives for transient PDEs in FEniCS and Firedrake
Jørgen S. Dokken, Sebastian K. Mitusch, Simon W. Funke
In industry, shape optimization problems are of utter importance when designing structures such as aircraft, automobiles and turbines. For many of these applications, the structure…
Can diffusion alone explain brain-wide distribution of a CSF tracer within 24 hours?
Lars Magnus Valnes, Sebastian K. Mitusch, Geir Ringstad +3
The recently proposed glymphatic system suggests that bulk flow is important for clearing waste from the brain, and as such may underlie the development of e.g. Alzheimer's disease…