activity
20242026
most citedFinite Operator Learning: Bridging Neural Operators and Numerical Methods for Efficient Parametric Solution and Optimization of PDEs

2 citations · 3 across the 3 of their papers we have counts for

collaborators

5 papers

cs.CE2026

Data-Free Weak-Form Staggered Neural Operators for Magneto-Mechanical Coupling in Finite-Strain Elastomers

Alireza Yazdandousthamedani, Ahmad Moeineddin, Reza Najian Asl +2

Magneto-active elastomers, as a class of smart materials, exhibit strongly coupled magnetic and mechanical behavior at finite strains. Considering variations in microstructure, mat…

cs.LG2026

Tackling multiphysics problems via finite element-guided physics-informed operator learning

Yusuke Yamazaki, Reza Najian Asl, Markus Apel +2

This work presents a finite element-guided physics-informed operator learning framework for multiphysics problems with coupled partial differential equations (PDEs) on arbitrary do…

cs.LG2025

Neural-Initialized Newton: Accelerating Nonlinear Finite Elements via Operator Learning

Kianoosh Taghikhani, Yusuke Yamazaki, Jerry Paul Varghese +3

We propose a Newton-based scheme, initialized by neural operator predictions, to accelerate the parametric solution of nonlinear problems in computational solid mechanics. First, a…

cs.LG2025★ 1 cited

A Physics-Informed Meta-Learning Framework for the Continuous Solution of Parametric PDEs on Arbitrary Geometries

Reza Najian Asl, Yusuke Yamazaki, Kianoosh Taghikhani +3

In this work, we introduce implicit Finite Operator Learning (iFOL) for the continuous and parametric solution of partial differential equations (PDEs) on arbitrary geometries. We…

cs.CE2024★ 2 cited

Finite Operator Learning: Bridging Neural Operators and Numerical Methods for Efficient Parametric Solution and Optimization of PDEs

Shahed Rezaei, Reza Najian Asl, Kianoosh Taghikhani +3

We introduce a method that combines neural operators, physics-informed machine learning, and standard numerical methods for solving PDEs. The proposed approach extends each of the…