activity
20232026
most citedDomain decomposition-based coupling of physics-informed neural networks via the Schwarz alternating method

2 citations · 4 across the 5 of their papers we have counts for

collaborators

7 papers

math.NA2026

Learning Long-Term Stable Operator Inference Reduced-Order Models of Fluid Flows through Online Spatial Filtering

Ian Moore, Ping-Hsuan Tsai, Anthony Gruber +4

This paper introduces an online evolve--filter--relax (EFR) strategy for long-term stability of Operator Inference (OpInf) reduced-order models (ROMs) of complex fluid flow simulat…

math.NA2025

Hybrid coupling with operator inference and the overlapping Schwarz alternating method

Irina Tezaur, Eric Parish, Anthony Gruber +3

This paper presents a novel hybrid approach for coupling subdomain-local non-intrusive Operator Inference (OpInf) reduced order models (ROMs) with each other and with subdomain-loc…

math.NA2025

Domain Decomposition-Based Coupling of High-Fidelity Finite Element and Reduced Order Operator Inference Models Using the Schwarz Alternating Method

Ian Moore, Anthony Gruber, Chris Wentland +1

We propose a novel hybrid domain decomposition method that couples sub-domain-local high-fidelity finite element (FE) models with reduced order models (ROMs) using the Schwarz alte…

math.NA2025

Transmission Conditions for the Non-Overlapping Schwarz Coupling of Full Order and Operator Inference Models

Cameron Rodriguez, Irina Tezaur, Alejandro Mota +3

This work investigates transmission conditions for the domain decomposition-based coupling of subdomain-local models using the non-overlapping Schwarz alternating method (NO-SAM).…

math.NA2024★ 2 cited

Domain Decomposition-based coupling of Operator Inference reduced order models via the Schwarz alternating method

Ian Moore, Christopher Wentland, Anthony Gruber +1

This paper presents and evaluates an approach for coupling together subdomain-local reduced order models (ROMs) constructed via non-intrusive operator inference (OpInf) with each o…

math.NA2024

The role of interface boundary conditions and sampling strategies for Schwarz-based coupling of projection-based reduced order models

Christopher R. Wentland, Francesco Rizzi, Joshua Barnett +1

This paper presents and evaluates a framework for the coupling of subdomain-local projection-based reduced order models (PROMs) using the Schwarz alternating method following a dom…

math.NA2023★ 2 cited

Domain decomposition-based coupling of physics-informed neural networks via the Schwarz alternating method

Will Snyder, Irina Tezaur, Christopher Wentland

Physics-informed neural networks (PINNs) are appealing data-driven tools for solving and inferring solutions to nonlinear partial differential equations (PDEs). Unlike traditional…