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…
math.NA2025
Adaptive refinement for eigenvalue problems based on an associated source problem
Stefano Giani, Jeffrey Ovall, Gabriel Pinochet-Soto
We introduce an adaptive finite element scheme for the efficient approximation of a (large) collection of eigenpairs of selfadjoint elliptic operators in which the adaptive refinem…
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…