[petsc-users] Detecting steady-state with TS

Salazar De Troya, Miguel salazardetro1 at llnl.gov
Thu Apr 29 14:26:56 CDT 2021

I am solving the signed distance equation

\frac{\partial \phi}{\partial t} + sign (\phi_{0})(|\nabla \phi| - 1) = 0

using a Local Discontinuous Galerkin (LDG) method as described in https://www.sciencedirect.com/science/article/pii/S0021999110005255

I am interested in solving it close to steady state. I was hoping I could measure how close to steady state the solution is by using the TSSetEventHandler infrastructure, but the handler does not have information on the time derivative. I looked at TSPSEUDO, but it forces me to use an implicit method, which I cannot provide because how the LDG method works (it calculates the fluxes solving additional equations). This makes me wonder if the LDG method is the best choice, so I am open to suggestions.

Given my current progress with the LDG approach, I am wondering if there is a way to solve to steady state using explicit algorithms such as Runge-Kutta.


Miguel A. Salazar de Troya
Postdoctoral Researcher, Lawrence Livermore National Laboratory
Rm: 1085-5
Ph: 1(925) 422-6411
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