Resumen de Solution of Strongly Coupled Multiphysics Problems Using Space-Time Separated Representations�Application to Thermoviscoelasticity

Marianne Beringhier, Mikael Gueguen, Jean-Claude Grandidier

• The space-time separated representation method (Ladevèze, C. R. Acad. Sci. Paris 309(II):1095�1099, 1989; Ammar et al., J. Non-Newton. Fluid Mech. 144:98�121, 2007) is here extended to solve strongly coupled multiphysics problems. The feasibility of the method for dealing with strongly coupled multiphysics problems with different characteristic times is here discussed and a new strategy to solve the nonlinear system for the basis enrichment is proposed. The method is validated in the case of a strongly coupled thermoviscoelastic model