We develop a framework to investigate thermal creep and annealing in finite domains,
where the climb motion of discrete dislocations is coupled to the diffusion of a continuum …

Consider the elastic scattering of a time-harmonic wave by multiple well-separated rigid
particles with smooth boundaries in two dimensions. Instead of using the complex Green's …

To design efficient thermal recovery procedures for structural materials in fusion energy
applications it is important to characterise quantitatively the annealing timescales of …

Many large matrices in science and engineering possess a special hierarchical low-rank
structure that enables fast multiplication and inversion, among other fundamental …

A theoretical model for computing the interstitial solute concentration and the interstitial
solute-induced stress field in a three-dimensional finite medium with any arbitrary elastic …

The evolution of the defect microstructure in materials at high temperature is dominated by
diffusion-mediated interactions between dislocations, cavities, and surfaces. This gives rise …

Efficient high-order integral equation methods have been developed for solving boundary
value problems of the heat equation in complex geometry in two dimensions. First, the …

In this paper, a mathematical model for long-range, hydrophobic attraction between
amphiphilic particles is developed to quantify the macroscopic assembly and mechanics of a …

We present a fast Gauss transform in one dimension using nearly optimal sum-of-
exponentials approximations of the Gaussian kernel. For up to about ten-digit accuracy, the …

La compréhension des mécanismes fondamentaux à l'origine de l'évolution des défauts
cristallins tels que les lacunes, les dislocations ou encore les cavités, ainsi que de leurs …