In this paper we propose a time–space adaptive method for micromagnetic problems with magnetostriction. The considered model
consists of coupled Maxwell’s, Landau–Lifshitz–Gilbert (LLG) and elastodynamic equations. The time discretization of Maxwell’s
equations and the elastodynamic equation is done by backward Euler method, the space discretization is based on Whitney edge
elements and linear finite elements, respectively. The fully discrete LLG equation reduces to an ordinary differential equation, which
is solved by an explicit method, that conserves the norm of the magnetization.