Constrained high-index saddle dynamics for the solution landscape with equality constraints
From MaRDI portal
Publication:2148119
DOI10.1007/S10915-022-01838-3zbMATH Open1501.37081arXiv2011.13173OpenAlexW3110042095MaRDI QIDQ2148119
Author name not available (Why is that?)
Publication date: 21 June 2022
Published in: (Search for Journal in Brave)
Abstract: We propose a constrained high-index saddle dynamics (CHiSD) method to search for index- saddle points of an energy functional subject to equality constraints. With Riemannian manifold tools, the CHiSD is derived in a minimax framework, and its linear stability at an index- saddle point is proved. To ensure the manifold property, the CHiSD is numerically implemented using retractions and vector transport. Then we present a numerical approach by combining CHiSD with downward and upward search algorithms to construct the solution landscape in the presence of equality constraints. We apply the Thomson problem and the Bose-Einstein condensation as numerical examples to demonstrate the efficiency of the proposed method.
Full work available at URL: https://arxiv.org/abs/2011.13173
No records found.
No records found.
This page was built for publication: Constrained high-index saddle dynamics for the solution landscape with equality constraints
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2148119)
