High-performance numerical integration with DeepONets

• Grant number: 24/05277-5
• Support Opportunities: Scholarships abroad - Research Internship - Scientific Initiation
• Start date: August 01, 2024
• End date: November 30, 2024
• Field of knowledge: Engineering - Mechanical Engineering - Mechanics of Solids
• Principal Investigator: Josué Labaki Silva
• Grantee: Leonardo Santiago Benta dos Santos
• Supervisor: George Em Karniadakis
• Host Institution: Faculdade de Engenharia Mecânica (FEM). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Institution abroad: Brown University, United States
• Associated to the scholarship: 23/16399-1 - High-performance computing for large-scale soil-structure interaction problems, BP.IC

Abstract

We propose to derive novel deep learning schemes in the framework of the DeepONet architecture to obtain massive acceleration of numerical integration methods. The proposed solutions will enable analyses of large-scale soil-structure interaction problems and contribute to high-performance computing solutions to the broader numerical methods community.