Title: On the spectrum of stiffness matrices arising from isogeometric analysis
Authors: Garoni, Carlo
Manni, Carla
Pelosi, Francesca
Serra-Capizzano, Stefano
Speleers, Hendrik # ×
Issue Date: Aug-2014
Publisher: Springer
Series Title: Numerische Mathematik vol:127 issue:4 pages:751-799
Abstract: We study the spectral properties of stiffness matrices that arise in the context of isogeometric analysis for the numerical solution of classical second order elliptic problems. Motivated by the applicative interest in the fast solution of the related linear systems, we are looking for a spectral characterization of the involved matrices. In particular, we investigate non-singularity, conditioning (extremal behavior), spectral distribution in the Weyl sense, as well as clustering of the eigenvalues to a certain (compact) subset of ℂ. All the analysis is related to the notion of symbol in the Toeplitz setting and is carried out both for the cases of 1D and 2D problems.
ISSN: 0029-599X
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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