The viscoelastic space-time element

Space-Time Isogeometric Analysis for linear and non-linear elastodynamics

“…[23], were developed and applied to engineering problems with an acceptable numerical cost. Some authors proposed some applications of space-time finite elements for elastodynamics such as linear viscoelasticity in the case of a 1D problem [52], a nonlinear 1D problem [10] or in the case of a linear 1D beam and truss or 2D plane strain problem [4,5]. Other applications than elastodynamics were also proposed, such as free surface problems (see [7]), compressible fluid flows [31], heat transfer problems [9,12], advection-diffusion equations [45].…”