96 citations · 303 across the 55 of their papers we have counts for
6 papers · 1 filter
Numerical Modeling for Shoulder Injury Detection Using Microwave Imaging
Sahar Borzooei, Pierre-Henri Tournier, Victorita Dolean +4
A portable imaging system for the on-site detection of shoulder injury is necessary to identify its extent and avoid its development to severe condition. Here, firstly a microwave…
A robust and adaptive GenEO-type domain decomposition preconditioner for problems in three-dimensional general topologies
Niall Bootland, Victorita Dolean, Frédéric Nataf +1
In this paper we design, analyse and test domain decomposition methods for linear systems of equations arising from conforming finite element discretisations of positive Maxwell-ty…
Multilevel Scalable Solvers for Stochastic Linear and Nonlinear Problems
Sudhi Sharma, Pierre Jolivet, Victorita Dolean +1
This article discusses the uncertainty quantification (UQ) for time-independent linear and nonlinear partial differential equation (PDE)-based systems with random model parameters…
Robust Methods for Multiscale Coarse Approximations of Diffusion Models in Perforated Domains
Miranda Boutilier, Konstantin Brenner, Victorita Dolean
For the Poisson equation posed in a domain containing a large number of polygonal perforations, we propose a low-dimensional coarse approximation space based on a coarse polygonal…
Multilevel domain decomposition-based architectures for physics-informed neural networks
Victorita Dolean, Alexander Heinlein, Siddhartha Mishra +1
Physics-informed neural networks (PINNs) are a powerful approach for solving problems involving differential equations, yet they often struggle to solve problems with high frequenc…
Travel times and ray paths for acoustic and elastic waves in generally anisotropic media
James Ludlam, Katherine Tant, Victorita Dolean +1
Wavefield travel time tomography is used for a variety of purposes in acoustics, geophysics and non-destructive testing. Since the problem is non-linear, assessing uncertainty in t…