The finite element method can be viewed as a machine that automates the discretization of
differential equations, taking as input a variational problem, a finite element and a mesh, and …

Due to a beneficial balance of computational cost and accuracy, real-time time-dependent
density-functional theory has emerged as a promising first-principles framework to describe …

We present the first application to density field reconstruction to a galaxy survey to undo the
smoothing of the baryon acoustic oscillation (BAO) feature due to non-linear gravitational …

Despite considerable research on aerodynamic shape optimization, there is no standard
benchmark problem allowing researchers to compare results. This work addresses this …

Objective. Transcranial magnetic stimulation (TMS) and transcranial electric stimulation
(TES) modulate brain activity non-invasively by generating electric fields either by …

As a key step towards a complete automation of the finite element method, we present a new
algorithm for automatic and efficient evaluation of multilinear variational forms. The algorithm …

We study an approach to simulating the stochastic relativistic advection-diffusion equation
based on the Metropolis algorithm. We show that the dissipative dynamics of the boosted …

The behavior of pyrolysis gas transport in arcjet test samples is numerically studied. The
simulation of the pyrolysis gas flow inside a porous material is presented, using two different …

High-T c cuprate strange metals are characterized by a DC resistivity that scales linearly with
T from the onset of superconductivity to the crystal melting temperature, characterized by a …

The effect of hydrogen on crack propagation has been studied extensively using various
numerical algorithms. Recently, phase-field models have been developed that can predict …