The large increase of unknowns in multi-domain mechanical modeling leads to investigate new parallel implementation of ODE and DAE systems. Unlike space domain decomposition, no geometrical information is given to decompose the system. The connection between unknowns have to be built to decompose the system in subsystems. A Schur Complement DDM can then be applied. During some time steps, the Jacobian matrix can be frozen allowing to speed-up the Krylov solvers convergence by projecting onto the Krylov subspace. This kind of DAE are stiff and the numerical procedure needs special care.
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Guibert, D., Tromeur-Dervout, D. (2008). A Schur Complement Method for DAE/ODE Systems in Multi-Domain Mechanical Design. In: Langer, U., Discacciati, M., Keyes, D.E., Widlund, O.B., Zulehner, W. (eds) Domain Decomposition Methods in Science and Engineering XVII. Lecture Notes in Computational Science and Engineering, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75199-1_67
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