@inproceedings{464c3868fbf04b8c9f48406fcb868293,

title = "Coupling requirements for well posed and stable multi-physics problems",

abstract = "We discuss well-posedness and stability of multi-physics problems by studying a model problem. By applying the energy method, boundary and interface conditions are derived such that the continuous and semi-discrete problem are well-posed and stable. The numerical scheme is implemented using high order finite difference operators on summation-by-parts (SBP) form and weakly imposed boundary and interface conditions. Numerical experiments involving a spectral analysis corroborate the theoretical findings.",

keywords = "Coupling procedure, High order finite differences, Multi-physics problem, Stability, Summation-by-parts operatorsm, Weak interface conditions, Well posed problems",

author = "Jan Nordstr{\"o}m and Fatemeh Ghasemi",

year = "2015",

month = apr,

day = "1",

language = "English",

series = "COUPLED PROBLEMS 2015 - Proceedings of the 6th International Conference on Coupled Problems in Science and Engineering",

publisher = "International Center for Numerical Methods in Engineering",

pages = "464--476",

editor = "Schrefler, {Bernhard A.} and Eugenio Onate and Manolis Papadrakakis",

booktitle = "COUPLED PROBLEMS 2015 - Proceedings of the 6th International Conference on Coupled Problems in Science and Engineering",

note = "6th International Conference on Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2015 ; Conference date: 18-05-2015 Through 20-05-2015",

}