We present an algorithmic framework for matrix-free evaluation of discontinuous Galerkin
finite element operators. It relies on fast quadrature with sum factorization on quadrilateral …

This article presents matrix-free finite-element techniques for efficiently solving partial
differential equations on modern many-core processors, such as graphics cards. We …

In this paper we describe a computational methodology that is specifically designed for
studying three-dimensional geodynamic processes governed by heterogeneous visco …

Geological processes such as mountain belt formation, subduction of tectonic plates and the
development of sedimentary basins occur on a million-year timescale and involve rocks that …

We present an efficient discontinuous Galerkin scheme for simulation of the incompressible
Navier–Stokes equations including laminar and turbulent flow. We consider a semi-explicit …

The outcome of decades of two-dimensional modelling of lithosphere deformation under
extension is that mechanical coupling between the continental crust and the underlying …

The efficient solution of discretizations of coupled systems of partial differential equations
(PDEs) is at the core of much of numerical simulation. Significant effort has been expended …

Geodynamic modelling provides a powerful tool to investigate processes in the Earth's crust,
mantle, and core that are not directly observable. However, numerical models are inherently …

The similarity between the geometry of the West African and South American coastlines is
among one of the strongest natural observations supporting the plate tectonic paradigm …

We report quantitative results from three brittle thrust wedge experiments, comparing
numerical results directly with each other and with corresponding analogue results. We first …