37 citations · 39 across the 4 of their papers we have counts for
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Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure
Maurizio Tavelli, Simone Chiocchetti, Evgeniy Romenski +2
We are concerned with the numerical solution of a unified first order hyperbolic formulation of continuum mechanics that originates from the work of Godunov, Peshkov and Romenski (…
A stable discontinuous Galerkin method for the perfectly matched layer for elastodynamics in first order form
Kenneth Duru, Leonhard Rannabauer, Alice-Agnes Gabriel +2
We present a stable discontinuous Galerkin (DG) method with a perfectly matched layer (PML) for three and two space dimensional linear elastodynamics, in velocity-stress formulatio…
A stable discontinuous Galerkin method for linear elastodynamics in 3D geometrically complex media using physics based numerical fluxes
Kenneth Duru, Leonhard Rannabauer, Alice-Agnes Gabriel +3
High order accurate and explicit time-stable solvers are well suited for hyperbolic wave propagation problems. As a result of the complexities of real geometries, internal interfac…
A new discontinuous Galerkin spectral element method for elastic waves with physically motivated numerical fluxes
Kenneth Duru, Leonhard Rannabauer, Alice-Agnes Gabriel +1
The discontinuous Galerkin (DG) method is an established method for computing approximate solutions of partial differential equations in many applications. Unlike continuous finite…