Are the eigenvalues of the B-spline isogeometric analysis approximation of − Δ u = λ u known in almost closed form?-Reference-Cited by-同舟云学术

Are the eigenvalues of the B-spline isogeometric analysis approximation of − Δ u = λ u known in almost closed form?

Published:2018-07-25 Issue:5 Volume:25 Page:e2198
ISSN:1070-5325
Container-title:Numerical Linear Algebra with Applications
language:en
Short-container-title:Numer Linear Algebra Appl

Author:

Ekström Sven-Erik¹^ORCID,Furci Isabella²^ORCID,Garoni Carlo²³^ORCID,Manni Carla⁴^ORCID,Serra-Capizzano Stefano¹²^ORCID,Speleers Hendrik⁴^ORCID

Affiliation:

1. Department of Information Technology, Division of Scientific Computing; Uppsala University, Information Technology Center; Lägerhyddsvägen 2, Hus 2, SE-751 05 Uppsala Sweden

2. Department of Science and High Technology; University of Insubria; Via Valleggio 11, 22100 Como Italy

3. Institute of Computational Science; University of Italian Switzerland (USI); Via Giuseppe Buffi 13, 6900 Lugano Switzerland

4. Department of Mathematics; University of Rome “Tor Vergata”; Via della Ricerca Scientifica 1, 00133 Rome Italy

Funder

Graduate School in Mathematics and Computing (FMB)

Uppsala Universitet

Istituto Nazionale di Alta Matematica "Francesco Severi"

Università degli Studi di Roma Tor Vergata

INdAM GNCS (Gruppo Nazionale per il Calcolo Scientifico)

Publisher

Wiley

Subject

Applied Mathematics,Algebra and Number Theory

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1002/nla.2198/fullpdf

Reference37 articles.

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3. Ekström S-E Garoni C Hughes TJR Reali A Serra-Capizzano S Speleers H Symbol-based analysis of finite element and isogeometric B-spline discretizations of eigenvalue problems: exposition and review

4. Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems;Hughes;Comput Methods Appl Mech Eng,2014

5. Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with k-method NURBS;Hughes;Comput Methods Appl Mech Eng,2008

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