A greedy MOR method for the tracking of eigensolutions to parametric elliptic PDEs
Year: 2024
Type: article
Abstract: In this paper we introduce a Model Order Reduction (MOR) algorithm based on a sparse grid adaptive refinement, for the approximation of the eigensolutions to parametric problems arising from elliptic partial differential equations. In particular, we are interested in detecting the crossing of the hypersurfaces describing the eigenvalues as a function of the parameters. The a priori matching is followed by an a posteriori verification, driven by a suitably defined error indicator. At a given refinement level, a sparse grid approach is adopted for the construction of the grid of the next level, by using the marking given by the a posteriori indicator. Various numerical tests confirm the good performance of the scheme.
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,160
Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", European Commission, Ministero dell’Istruzione, dell’Università e della Ricerca, King Abdullah University of Science and Technology, Gruppo Nazionale per il Calcolo Scientifico, Global Collaborative Research, King Abdullah University of Science and Technology, H2020 European Research Council, HORIZON EUROPE European Research Council, Ministero dell'Istruzione e del Merito
OpenAlex ID: W4402567802