27 citations · 28 across the 3 of their papers we have counts for
4 papers
Finite Expression Method with TranNet-based Function Learning for High-Dimensional Partial Differential Equations
Phuoc-Toan Huynh, Feng Bao, Haizhao Yang +1
In this paper, we study a machine-learning-based solver for high-dimensional partial differential equations (PDEs). Computing accurate solutions efficiently for such problems remai…
Numerical Approximations for the Null Controllers of Structurally Damped Plate Dynamics
Pelin G. Geredeli, Carson Givens, Ahmed Zytoon
In this paper, we consider a structurally damped elastic equation under hinged boundary conditions. Fully-discrete numerical approximation schemes are generated for the null contro…
Improved convergence of the Arrow-Hurwicz iteration for the Navier-Stokes equation via grad-div stabilization and Anderson acceleration
Pelin G. Geredeli, Leo G. Rebholz, Duygu Vargun +1
We consider two modifications of the Arrow-Hurwicz (AH) iteration for solving the incompressible steady Navier-Stokes equations for the purpose of accelerating the algorithm: grad-…
Low-order divergence-free approximations for the Stokes problem on Worsey-Farin and Powell-Sabin splits
Maurice Fabien, Johnny Guzman, Michael Neilan +1
We derive low-order, inf-sup stable and divergence-free finite element approximations for the Stokes problem using Worsey-Farin splits in three dimensions and Powell-Sabin splits i…