88 citations · 145 across the 4 of their papers we have counts for
6 papers
Truncation preconditioners for stochastic Galerkin finite element discretizations
Alex Bespalov, Daniel Loghin, Rawin Youngnoi
Stochastic Galerkin finite element method (SGFEM) provides an efficient alternative to traditional sampling methods for the numerical solution of linear elliptic partial differenti…
Diffusion in arrays of obstacles: beyond homogenisation
Yahya Farah, Daniel Loghin, Alexandra Tzella +1
We revisit the classical problem of diffusion of a scalar (or heat) released in a two-dimensional medium with an embedded periodic array of impermeable obstacles such as perforatio…
Constraint interface preconditioning for topology optimization problems
Michal Kocvara, Daniel Loghin, James Turner
The discretization of constrained nonlinear optimization problems arising in the field of topology optimization yields algebraic systems which are challenging to solve in practice,…
Parallel Solution of the Linear Elasticity problem with Applications in Topology Optimization
James Turner, Michal Kocvara, Daniel Loghin
In this paper, we aim to solve the system of equations governing linear elasticity in parallel using domain decomposition. Through a non-overlapping decomposition of the domain, ou…
Modelling the Fluid Mechanics of Cilia and Flagella in Reproduction and Development
Thomas D. Montenegro-Johnson, Andrew A. Smith, David J. Smith +2
Cilia and flagella are actively bending slender organelles, performing functions such as motility, feeding and embryonic symmetry breaking. We review the mechanics of viscous-domin…
Physics of Rheologically-Enhanced Propulsion: Different Strokes in Generalized Stokes
Thomas D. Montenegro-Johnson, Daniel Loghin, David J. Smith
Shear-thinning is an important rheological property of many biological fluids, such as mucus, whereby the apparent viscosity of the fluid decreases with shear. Certain microscopic…