Mixed-hybrid and mixed-discontinuous Galerkin methods for linear dynamical elastic–viscoelastic composite structures

Abstract We introduce and analyze a stress-based formulation for Zener’s model in linear viscoelasticity. The method is aimed to tackle efficiently heterogeneous materials that admit purely elastic viscoelastic parts their composition.We write the mixed variational of problem terms class tensorial wave equation obtain an energy estimate guaranties well-posedness through standard Galerkin procedure. propose continuous discontinuous space discretizations derive optimal error bounds each semidiscrete solution corresponding norm. Finally, we discuss full discretization strategies both methods.