A scalable solver for a stochastic, hybrid cellular automaton model of personalized breast cancer therapy

no code implementations • 2 May 2021 • Xiaoran Lai, Håkon A. Taskén, Torgeir Mo, Simon W. Funke, Arnoldo Frigessi, Marie E. Rognes, Alvaro Köhn-Luque

Coupling discrete cell-based models with continuous models using hybrid cellular automata is a powerful approach for mimicking biological complexity and describing the dynamical exchange of information across different scales.

Hybrid FEM-NN models: Combining artificial neural networks with the finite element method

2 code implementations • 4 Jan 2021 • 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).

Shape Optimization using the Finite Element Method on Multiple Meshes

1 code implementation • 26 Jun 2018 • Jorgen S. Dokken, Simon W. Funke, August Johansson, Stephan Schmidt

This paper proposes a different approach, in which the computational domain is represented by multiple, independent meshes.

Numerical Analysis