3 papers
math.NA2026
A Generalized Finite Difference-Based Fragile Points Method for Heat Conduction Problems in Non-Homogeneous Media
Smriti, Sundararajan Natarajan, Abhinash Malla
This paper presents an enhanced formulation of the Fragile Points Method (FPM), a truly meshless approach for efficiently modeling implicit interfaces in two-dimensional differenti…
math.NA2026
Exact Constraint Enforcement in Physics-Informed Extreme Learning Machines using Null-Space Projection Framework
Rishi Mishra, Smriti, Balaji Srinivasan +2
Physics-informed extreme learning machines (PIELMs) typically impose boundary and initial conditions through penalty terms, yielding only approximate satisfaction that is sensitive…
math.NA2025
Eig-PIELM: A Mesh-Free Approach for Efficient Eigen-Analysis with Physics-Informed Extreme Learning Machines
Rishi Mishra, Smriti, Ganapathy Krishnamurthi +2
In this work, a novel Eig-PIELM framework is proposed that extends physics-informed extreme learning machine for an efficient and accurate solution of linear eigenvalue problems. T…