Interface Design

[termi-official]

Maybe it is a good idea to interface against SciML, because they already have quite some infrastracture which we can reuse. The current design also has already some similarities with the design of their "Problem - Solver" pairs. This way we can also try to gain some momentum on SciML/OrdinaryDiffEq.jl#1570 which possibly unlocks a range of interesting solvers for time-dependent problems, whose semi-discretization with finite element methods often simply leads to ODEs or DAEs. See e.g. https://ferrite-fem.github.io/Ferrite.jl/stable/examples/ns_vs_diffeq/ for a first simple example.