We consider multiphysics applications from algorithmic and architectural perspectives,
where “algorithmic” includes both mathematical analysis and computational complexity, and …

This hands-on introduction to numerical geodynamic modelling provides a solid grounding
in the necessary mathematical theory and techniques, including continuum mechanics and …

Numerical simulation of the processes in the Earth's mantle is a key piece in understanding
its dynamics, composition, history and interaction with the lithosphere and the Earth's core …

Calculating surface topography in geodynamic models is a common numerical problem.
Besides other approaches, the so-called 'sticky air'approach has gained interest as a free …

We review the methods available for large deformation simulations of geomaterials before
presenting a Lagrangian integration point finite element method designed specifically to …

Ongoing developments in cardiac modelling have resulted, in particular, in the development
of advanced and increasingly complex computational frameworks for simulating cardiac …

Previous experimental studies of convection in fluids with temperature‐dependent viscosity
reached viscosity contrasts of the order of 105. Although this value seems large, it still might …

Computations have helped elucidate the dynamics of Earth's mantle for several decades
already. The numerical methods that underlie these simulations have greatly evolved within …

Here it is documented how an existing code for modelling mantle convection in a cartesian
domain, Stag3D, has been converted to model a 3D spherical shell by using the recently …

As high‐performance computing facilities and sophisticated modeling software become
available, modeling mantle convection in a three‐dimensional (3‐D) spherical shell …