2 citations · 2 across the 8 of their papers we have counts for
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physics.med-ph2024
Efficient Proton Transport Modelling for Proton Beam Therapy and Biological Quantification
Ben S. Ashby, Veronika Chronholm, Daniel K. Hajnal +4
In this work, we present a fundamental mathematical model for proton transport, tailored to capture the key physical processes underpinning Proton Beam Therapy (PBT). The model pro…
math.NA2024
Duality based error control for the Signorini problem
Ben S. Ashby, Tristan Pryer
In this paper we study the a posteriori bounds for a conforming piecewise linear finite element approximation of the Signorini problem. We prove new rigorous a posteriori estimates…
math.NA2024
Discretisation of an Oldroyd-B viscoelastic fluid flow using a Lie derivative formulation
Ben S. Ashby, Tristan Pryer
In this article we present a numerical method for the Stokes flow of an Oldroyd-B fluid. The viscoelastic stress evolves according to a constitutive law formulated in terms of the…