A volumetric approach to Monge's optimal transport on surfaces

R Tsai, AGR Turnquist - Journal of Computational Physics, 2024 - Elsevier
We propose a volumetric formulation for computing the Optimal Transport problem defined
on surfaces in R 3, found in disciplines like optics, computer graphics, and computational …

Corrected trapezoidal rule-IBIM for linearized Poisson-Boltzmann equation

F Izzo, Y Zhong, O Runborg, R Tsai - arXiv preprint arXiv:2210.03699, 2022 - arxiv.org
In this paper, we solve the linearized Poisson-Boltzmann equation, used to model the
electric potential of macromolecules in a solvent. We derive a corrected trapezoidal rule with …