The two large low shear-wave velocity provinces (LLSVPs) that dominate lower-mantle
structure may hold key information on Earth's thermal and chemical evolution. It is generally …

ASPECT (Advanced Solver for Problems in Earth's ConvecTion) is a massively parallel finite
element code originally designed for modeling thermal convection in the mantle with a …

We evaluate the spatial and temporal evolution of Earth's long-wavelength surface dynamic
topography since the Jurassic using a series of high-resolution global mantle convection …

The evolution of the planetary interior during plate tectonics is controlled by slow convection
within the mantle. Global-scale geochemical differences across the upper mantle are known …

I present a new family of analytical flow solutions to the incompressible Stokes equation in a
spherical shell. The velocity is tangential to both inner and outer boundaries, the viscosity is …

Computational models of mantle convection must accurately represent curved boundaries
and the associated boundary conditions of a 3-D spherical shell, bounded by Earth's surface …

Due to the increasing availability of high-performance computing over the past few decades,
numerical models have become an important tool for research in geodynamics. Several …

Firedrake is an automated system for solving partial differential equations using the finite-
element method. By applying sophisticated performance optimisations through automatic …

The modern state of the mantle and its evolution on geological timescales are of widespread
importance for the Earth sciences. For instance, it is generally agreed that mantle flow is …

Many outstanding problems in solid-Earth science relate to the geodynamical explanation of
geochemical observations. Currently, extensive geochemical databases of surface …