2 papers
stat.AP2023
A Bayesian Inverse Approach to Proton Therapy Dose Delivery Verification
Alexander M. G. Cox, Laura Hattam, Andreas E. Kyprianou +1
This study presents a proof-of-concept for a novel Bayesian inverse method in a one-dimensional setting, aimed at proton beam therapy treatment verification. Our methodology is pre…
math.NA2023
A Nodally Bound-Preserving Finite Element Method
Gabriel Barrenechea, Emmanuil Georgoulis, Tristan Pryer +1
This work proposes a nonlinear finite element method whose nodal values preserve bounds known for the exact solution. The discrete problem involves a nonlinear projection operator…