Showing 2024Show all
3 papers · 1 filter
math.NA2024
Oscillation-free numerical schemes for Biot's model and their iterative coupling solution
Álvaro Pé de la Riva, Francisco J. Gaspar, Xiaozhe Hu +3
In this work, we present a new stabilization method aimed at removing spurious oscillations in the pressure approximation of Biot's model for poroelasticity with low permeabilities…
math.DS2024
Physics-informed nonlinear vector autoregressive models for the prediction of dynamical systems
James H. Adler, Samuel Hocking, Xiaozhe Hu +1
Machine learning techniques have recently been of great interest for solving differential equations. Training these models is classically a data-fitting task, but knowledge of the…
math.NA2024
Improving Greedy Algorithms for Rational Approximation
James H. Adler, Xiaozhe Hu, Xue Wang +1
When developing robust preconditioners for multiphysics problems, fractional functions of the Laplace operator often arise and need to be inverted. Rational approximation in the un…