Controlled time integration with discrete exterior calculus: applications in electro-magnetism, acoustics and more

• Date: 30. 4. 2026
• Time: 14:00 - 15:30
• Address:
  Sokolovská 83, Praha
• Room: K3
• Speaker: Tytti Saksa

We discuss controlled time integration for propagation of electro-magnetic, acoustic etc. waves. In the controlled time integration, we do not solve the time-dependent problem directly but instead we accelerate the convergence of solution by minimizing the difference between an initial solution and the corresponding solution after one time period. The controlled time integration has shown its potential for complex geometries, e.g. scattering problems with non- convex scatterers. Such wave problems may be discretized by many different methods. For each step in the controlled time integration, we solve the problem once forward in time and once backward in time over one time period. Discrete exterior calculus provides us with a diagonal mass matrix for fast time integration. In discrete exterior calculus, we need to pay attention to the quality of the mesh to achieve a desired solution accuracy. We present numerical examples to demonstrate the computational performance of the methods.