A Petrov–Galerkin finite element model for one-dimensional fully non-linear and weakly dispersive wave propagation

A discontinuous Galerkin finite element

A discontinuous Galerkin finite element method for dynamic and wave propagation problems in non-linear solids and saturated porous media

✍ Xikui Li; Dongmei Yao; R. W. Lewis 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English

## Abstract A time‐discontinuous Galerkin finite element method (DGFEM) for dynamics and wave propagation in non‐linear solids and saturated porous media is presented. The main distinct characteristic of the proposed DGFEM is that the specific P3–P1 interpolation approximation, which uses piecewise