4 citations · 7 across the 3 of their papers we have counts for
3 papers
math.NA2021
A Mass Conserving Mixed hp-FEM Scheme for Stokes Flow. Part III: Implementation and Preconditioning
Mark Ainsworth, Charles Parker
This is the third part in a series on a mass conserving, high order, mixed finite element method for Stokes flow. In this part, we study a block-diagonal preconditioner for the ind…
cs.LG2021★ 4 cited
Galerkin Neural Networks: A Framework for Approximating Variational Equations with Error Control
Mark Ainsworth, Justin Dong
We present a new approach to using neural networks to approximate the solutions of variational equations, based on the adaptive construction of a sequence of finite-dimensional sub…
cs.LG2020★ 3 cited
Plateau Phenomenon in Gradient Descent Training of ReLU networks: Explanation, Quantification and Avoidance
Mark Ainsworth, Yeonjong Shin
The ability of neural networks to provide `best in class' approximation across a wide range of applications is well-documented. Nevertheless, the powerful expressivity of neural ne…