The research on computational vibroacoustics includes the development of different modelling strategies to cover all the frequency ranges of interest and technological applications. Among the methods we deal with are finite elements, boundary elements, boundary algebraic equations (low frequencies); modal expansions (mid frequencies); spectral finite elements and statistical energy analysis (high frequencies). The applications are focused on building acoustics (with emphasis on the direct and indirect sound transmission), transfer path analysis (characterisation of complex mechanical systems), and scattering of acoustic and elastic waves.
Fracture of natural or engineered materials may be described by means of continuous models (such as gradient damage models or phase-field approaches) or discontinuous models (such as the XFEM, extended finite element method). We are interested in exploring the connections between these two modelling paradigms and in developing hybrid continuous-discontinuous models, with an emphasis on crack tracking for complex branching crack patterns and in advanced discretisation techniques, such as HDG (hybridisable Discontinuous Galerkin).
Enhanced goal-oriented error assessment and computational strategies in adaptive reduced basis solver for stochastic problems
Serafin, K.; Magnain, B.; Florentin, E.; Parés, N. and Díez, P.
International Journal for Numerical Methods in Engineering , Vol. 110, Issue 5, pp. 440-466, 2017