10 citations · 42 across the 21 of their papers we have counts for
5 papers · 1 filter
Unique reconstruction for discretized inverse problems: a random sketching approach via subsampling
Ruhui Jin, Qin Li, Anjali Nair +1
Theoretical inverse problems are often studied in an ideal infinite-dimensional setting. The well-posedness theory provides a unique reconstruction of the parameter function, when…
Element learning: a systematic approach of accelerating finite element-type methods via machine learning, with applications to radiative transfer
Shukai Du, Samuel N. Stechmann
In this paper, we propose a systematic approach for accelerating finite element-type methods by machine learning for the numerical solution of partial differential equations (PDEs)…
Particle-Continuum Multiscale Modeling of Sea Ice Floes
Quanling Deng, Samuel N. Stechmann, Nan Chen
Sea ice profoundly influences the polar environment and the global climate. Traditionally, Sea ice has been modeled as a continuum under Eulerian coordinates to describe its large-…
Superfloe Parameterization with Physics Constraints for Uncertainty Quantification of Sea Ice Floes
Nan Chen, Quanling Deng, Samuel N. Stechmann
The discrete element method (DEM) is providing a new modeling approach for describing sea ice dynamics. It exploits particle-based methods to characterize the physical quantities o…
Simple Second-Order Finite Differences for Elliptic PDEs with Discontinuous Coefficients and Interfaces
Chung-Nan Tzou, Samuel Stechmann
In multi-phase fluid flow, fluid-structure interaction, and other applications, partial differential equations (PDEs) often arise with discontinuous coefficients and singular sourc…