most citedA hybrid finite element/neural network solver and its application to the Poisson problem

6 citations · 8 across the 2 of their papers we have counts for

collaborators

2 papers

math.NA2023★ 2 cited

Error analysis for hybrid finite element/neural network discretizations

Uladzislau Kapustsin, Utku Kaya, Johannes Pfefferer +1

We describe and analyze a hybrid finite element/neural network method for predicting solutions of partial differential equations. The methodology is designed for obtaining fine sca…

math.NA2023★ 6 cited

A hybrid finite element/neural network solver and its application to the Poisson problem

Uladzislau Kapustsin, Utku Kaya, Thomas Richter

We analyze a hybrid method that enriches coarse grid finite element solutions with fine scale fluctuations obtained from a neural network. The idea stems from the Deep Neural Netwo…