2 papers
math.NA2021
Bayesian Level Set Approach for Inverse Problems with Piecewise Constant Reconstructions
William Reese, Arvind K. Saibaba, Jonghyun Lee
There are several challenges associated with inverse problems in which we seek to reconstruct a piecewise constant field, and which we model using multiple level sets. Adopting a B…
physics.comp-ph2019
Model input and output dimension reduction using Karhunen Loève expansions with application to biotransport
Alen Alexanderian, William Reese, Ralph C. Smith +1
We consider biotransport in tumors with uncertain heterogeneous material properties. Specifically, we focus on the elliptic partial differential equation (PDE) modeling the pressur…