2 citations · 5 across the 5 of their papers we have counts for
5 papers
A Positivity-Preserving Finite Element Framework for Accurate Dose Computation in Proton Therapy
Ben S. Ashby, Abdalaziz Hamdan, Tristan Pryer
We present a stabilised finite element method for modelling proton transport in tissue, incorporating both inelastic energy loss and elastic angular scattering. A key innovation is…
A nodally bound-preserving finite element method for hyperbolic convection-reaction problems
Ben S. Ashby, Abdalaziz Hamdan, Tristan Pryer
In this article, we present a numerical approach to ensure the preservation of physical bounds on the solutions to linear and nonlinear hyperbolic convection-reaction problems at t…
asQ: parallel-in-time finite element simulations using ParaDiag for geoscientific models and beyond
Joshua Hope-Collins, Abdalaziz Hamdan, Werner Bauer +2
Modern high performance computers are massively parallel; for many PDE applications spatial parallelism saturates long before the computer's capability is reached. Parallel-in-time…
Finite-element discretization of the smectic density equation
Patrick E. Farrell, Abdalaziz Hamdan, Scott P. MacLachlan
The fourth-order PDE that models the density variation of smectic A liquid crystals presents unique challenges in its (numerical) analysis beyond more common fourth-order operators…
A new mixed finite-element method for elliptic problems
Patrick E. Farrell, Abdalaziz Hamdan, Scott P. MacLachlan
Fourth-order differential equations play an important role in many applications in science and engineering. In this paper, we present a three-field mixed finite-element formulation…