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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…