3 papers
math.NA2026
Reliable eigenspace error estimation using source error estimators
Jay Gopalakrishnan, Gabriel Pinochet-Soto
We introduce a framework for repurposing error estimators for source problems to compute an estimator for the gap between eigenspaces and their discretizations. Of interest are eig…
physics.optics2025
Accelerated Coupled Mode Model for Fiber Laser Amplifiers as an Averaged Dynamical System
Rebecca Bryant, Jacob Grosek, Jay Gopalakrishnan
We apply a known theorem for simplifying dynamical systems with bounded error to a specific optical fiber waveguide problem, supplementing the physical intuition and heuristics use…
math.NA2024
Adaptive resolution of fine scales in modes of microstructured optical fibers
Jay Gopalakrishnan, Jacob Grosek, Gabriel Pinochet-Soto +1
An adaptive algorithm for computing eigenmodes and propagation constants of optical fibers is proposed. The algorithm is built using a dual-weighted residual error estimator. The r…