?. Quartz and . Sio, Conclusion: Application of previously developed theory and techniques to a coupled system Confirmation of results similar to scalar equations Only optimised parameters offer fast convergence Good accordance between theory and numerics Perspectives: Optimised transmission conditions for unknown temporal discretisation and in the nonlinear case Comparative numerical tests for different proposed Ventcel conditions in the nonlinear case 53 IFP Energies nouvelles and LAGA University Paris XIII -Time Space DD Methods for RT -14, 2011.

K. Swr, Accelerators in the Nonlinear Case Conclusion: Two new numerical approaches developed Tested with success on nonlinear coupled system Accelerating properties Less sensibility to transmission condition parameter Better asymptotic behaviour Perspectives: More tests on other types of equations and other test cases Investigation for eliminating overhead cost 54 IFP Energies nouvelles and LAGA University Paris XIII -Time Space DD Methods for RT -14, 2011.

R. Multispecies, . Formulation, and . Conclusion, Extension of existing formulation to kinetic reactions and minerals First approach of domain decomposition on nonlinear coupled multispecies reactive transport systems Perspectives: Study of numerical formulation (stability, conditioning,. . . ) Study of well-posedness of multispecies reactive transport formulation with given boundary data by domain decomposition algorithm 55 IFP Energies nouvelles and LAGA University Paris XIII -Time Space DD Methods for RT -14, 2011.