The Discrete Empirical Interpolation Method: Canonical Structure and Formulation in Weighted Inner Product Spaces
From MaRDI portal
Publication:3176354
DOI10.1137/17M1129635zbMATH Open1415.65107arXiv1704.06606OpenAlexW2964020076WikidataQ129515950 ScholiaQ129515950MaRDI QIDQ3176354
Author name not available (Why is that?)
Publication date: 20 July 2018
Published in: (Search for Journal in Brave)
Abstract: New contributions are offered to the theory and practice of the Discrete Empirical Interpolation Method (DEIM). These include a detailed characterization of the canonical structure; a substantial tightening of the error bound for the DEIM oblique projection, based on index selection via a strong rank revealing QR factorization; and an extension of the DEIM approximation to weighted inner products defined by a real symmetric positive-definite matrix . The weighted DEIM (-DEIM) can be deployed in the more general framework where the POD Galerkin projection is formulated in a discretization of a suitable energy inner product such that the Galerkin projection preserves important physical properties such as e.g. stability. Also, a special case of -DEIM is introduced, which is DGEIM, a discrete version of the Generalized Empirical Interpolation Method that allows generalization of the interpolation via a dictionary of linear functionals.
Full work available at URL: https://arxiv.org/abs/1704.06606
No records found.
No records found.
This page was built for publication: The Discrete Empirical Interpolation Method: Canonical Structure and Formulation in Weighted Inner Product Spaces
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q3176354)
