37 citations · 37 across the 2 of their papers we have counts for
7 papers
A unified first order hyperbolic model for nonlinear dynamic rupture processes in diffuse fracture zones
Alice-Agnes Gabriel, Duo Li, Simone Chiocchetti +4
Earthquake fault zones are more complex, both geometrically and rheologically, than an idealised infinitely thin plane embedded in linear elastic material. To incorporate nonlinear…
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…
ExaHyPE: An Engine for Parallel Dynamically Adaptive Simulations of Wave Problems
Anne Reinarz, Dominic E. Charrier, Michael Bader +13
ExaHyPE ("An Exascale Hyperbolic PDE Engine") is a software engine for solving systems of first-order hyperbolic partial differential equations (PDEs). Hyperbolic PDEs are typicall…
A General Framework for Multivariate Functional Principal Component Analysis of Amplitude and Phase Variation
Clara Happ, Fabian Scheipl, Alice-Agnes Gabriel +1
Functional data typically contains amplitude and phase variation. In many data situations, phase variation is treated as a nuisance effect and is removed during preprocessing, alth…