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Serra-Capizzano, StefanoORCID iD iconorcid.org/0000-0001-9477-109x
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Publications (10 of 87) Show all publications
Donatelli, M., Novara, P., Romani, L., Serra-Capizzano, S. & Sesana, D. (2019). A merged tuning of binary and ternary Loop's subdivision. Computer Aided Geometric Design, 69, 27-44
Open this publication in new window or tab >>A merged tuning of binary and ternary Loop's subdivision
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2019 (English)In: Computer Aided Geometric Design, ISSN 0167-8396, E-ISSN 1879-2332, Vol. 69, p. 27-44Article in journal (Refereed) Published
Abstract [en]

In the vicinity of extraordinary vertices, the action of a primal, symmetric subdivision scheme for the construction of arbitrary topology surfaces can be represented by structured matrices that form a hybrid matrix algebra related to the block-circulant algebra diagonalized by a block-FFT. Exploiting the block-diagonalization of such matrices and having in mind the target of a specific class of schemes. we can easily take into consideration the constraints to be satisfied by their eigenvalues and provide an efficient computational approach for determining the ranges of variability of the weights defining the extraordinary rules. Application examples of this computational strategy are shown to find the exact bounds of extraordinary rule weights for improved variants of two existing subdivision schemes.

Place, publisher, year, edition, pages
ELSEVIER SCIENCE BV, 2019
Keywords
Subdivision matrix, Hybrid block-circulant matrix algebra, Spectral decomposition, Extraordinary rule, Optimal shrinkage
National Category
Computational Mathematics
Identifiers
urn:nbn:se:uu:diva-379266 (URN)10.1016/j.cagd.2018.12.005 (DOI)000459845600003 ()
Available from: 2019-03-18 Created: 2019-03-18 Last updated: 2019-03-18Bibliographically approved
Mazza, M., Manni, C., Ratnani, A., Serra-Capizzano, S. & Speleers, H. (2019). Isogeometric analysis for 2D and 3D curl–div problems: Spectral symbols and fast iterative solvers. Computer Methods in Applied Mechanics and Engineering, 344, 970-997
Open this publication in new window or tab >>Isogeometric analysis for 2D and 3D curl–div problems: Spectral symbols and fast iterative solvers
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2019 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 344, p. 970-997Article in journal (Refereed) Published
National Category
Computational Mathematics
Identifiers
urn:nbn:se:uu:diva-366557 (URN)10.1016/j.cma.2018.10.008 (DOI)000456330300041 ()
Available from: 2018-10-12 Created: 2018-11-21 Last updated: 2019-02-14Bibliographically approved
Mazza, M., Ratnani, A. & Serra-Capizzano, S. (2019). Spectral analysis and spectral symbol for the 2D curl–curl (stabilized) operator with applications to the related iterative solutions. Mathematics of Computation, 88(317), 1155-1188
Open this publication in new window or tab >>Spectral analysis and spectral symbol for the 2D curl–curl (stabilized) operator with applications to the related iterative solutions
2019 (English)In: Mathematics of Computation, ISSN 0025-5718, E-ISSN 1088-6842, Vol. 88, no 317, p. 1155-1188Article in journal (Refereed) Published
National Category
Computational Mathematics
Identifiers
urn:nbn:se:uu:diva-366552 (URN)10.1090/mcom/3366 (DOI)000457012400005 ()
Available from: 2018-07-06 Created: 2018-11-21 Last updated: 2019-03-15Bibliographically approved
Garoni, C., Speleers, H., Ekström, S.-E., Reali, A., Serra-Capizzano, S. & Hughes, T. J. R. (2019). Symbol-based analysis of finite element and isogeometric B-spline discretizations of eigenvalue problems: Exposition and review. Archives of Computational Methods in Engineering, 26
Open this publication in new window or tab >>Symbol-based analysis of finite element and isogeometric B-spline discretizations of eigenvalue problems: Exposition and review
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2019 (English)In: Archives of Computational Methods in Engineering, ISSN 1134-3060, E-ISSN 1886-1784, Vol. 26Article in journal (Refereed) Epub ahead of print
National Category
Computational Mathematics
Identifiers
urn:nbn:se:uu:diva-372862 (URN)10.1007/s11831-018-9295-y (DOI)
Available from: 2019-01-07 Created: 2019-01-09 Last updated: 2019-01-22Bibliographically approved
Ekström, S.-E., Garoni, C. & Serra-Capizzano, S. (2018). Are the eigenvalues of banded symmetric Toeplitz matrices known in almost closed form?. Experimental Mathematics, 27, 478-487
Open this publication in new window or tab >>Are the eigenvalues of banded symmetric Toeplitz matrices known in almost closed form?
2018 (English)In: Experimental Mathematics, ISSN 1058-6458, E-ISSN 1944-950X, Vol. 27, p. 478-487Article in journal (Refereed) Published
National Category
Computational Mathematics
Identifiers
urn:nbn:se:uu:diva-322240 (URN)10.1080/10586458.2017.1320241 (DOI)000455366200011 ()
Available from: 2017-05-16 Created: 2017-05-17 Last updated: 2019-02-14Bibliographically approved
Ahmad, F., Al-Aidarous, E. S., Alrehaili, D. A., Ekström, S.-E., Furci, I. & Serra-Capizzano, S. (2018). Are the eigenvalues of preconditioned banded symmetric Toeplitz matrices known in almost closed form?. Numerical Algorithms, 78, 867-893
Open this publication in new window or tab >>Are the eigenvalues of preconditioned banded symmetric Toeplitz matrices known in almost closed form?
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2018 (English)In: Numerical Algorithms, ISSN 1017-1398, E-ISSN 1572-9265, Vol. 78, p. 867-893Article in journal (Refereed) Published
National Category
Computational Mathematics
Identifiers
urn:nbn:se:uu:diva-328780 (URN)10.1007/s11075-017-0404-z (DOI)000435692900010 ()
Available from: 2017-08-31 Created: 2017-08-31 Last updated: 2019-01-22Bibliographically approved
Ekström, S.-E., Furci, I., Garoni, C., Manni, C., Serra-Capizzano, S. & Speleers, H. (2018). Are the eigenvalues of the B-spline isogeometric analysis approximation of −Δu = λu known in almost closed form?. Numerical Linear Algebra with Applications, 25, e2198:1-34, Article ID e2198.
Open this publication in new window or tab >>Are the eigenvalues of the B-spline isogeometric analysis approximation of −Δuλu known in almost closed form?
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2018 (English)In: Numerical Linear Algebra with Applications, ISSN 1070-5325, E-ISSN 1099-1506, Vol. 25, p. e2198:1-34, article id e2198Article in journal (Refereed) Published
National Category
Computational Mathematics
Identifiers
urn:nbn:se:uu:diva-356437 (URN)10.1002/nla.2198 (DOI)000448861300030 ()
Available from: 2018-07-25 Created: 2018-07-27 Last updated: 2019-01-24Bibliographically approved
Garoni, C., Mazza, M. & Serra-Capizzano, S. (2018). Block generalized locally Toeplitz sequences: From the theory to the applications.
Open this publication in new window or tab >>Block generalized locally Toeplitz sequences: From the theory to the applications
2018 (English)Report (Other academic)
Series
Technical report / Department of Information Technology, Uppsala University, ISSN 1404-3203 ; 2018-009
National Category
Computational Mathematics
Identifiers
urn:nbn:se:uu:diva-350903 (URN)
Available from: 2018-05-14 Created: 2018-05-17 Last updated: 2019-01-22Bibliographically approved
Garoni, C., Mazza, M. & Serra-Capizzano, S. (2018). Block generalized locally Toeplitz sequences: From the theory to the applications. Axioms, 7, 49:1-29, Article ID 49.
Open this publication in new window or tab >>Block generalized locally Toeplitz sequences: From the theory to the applications
2018 (English)In: Axioms, ISSN 2075-1680, Vol. 7, p. 49:1-29, article id 49Article in journal (Refereed) Published
National Category
Computational Mathematics
Identifiers
urn:nbn:se:uu:diva-366553 (URN)10.3390/axioms7030049 (DOI)000447908400007 ()
Available from: 2018-07-19 Created: 2018-11-21 Last updated: 2019-01-24Bibliographically approved
Benedusi, P., Garoni, C., Krause, R., Li, X. & Serra-Capizzano, S. (2018). Discontinuous Galerkin discretization of the heat equation in any dimension: The spectral symbol.
Open this publication in new window or tab >>Discontinuous Galerkin discretization of the heat equation in any dimension: The spectral symbol
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2018 (English)Report (Other academic)
Series
Technical report / Department of Information Technology, Uppsala University, ISSN 1404-3203 ; 2018-002
National Category
Computational Mathematics
Identifiers
urn:nbn:se:uu:diva-339500 (URN)
Available from: 2018-01-15 Created: 2018-01-19 Last updated: 2019-01-22Bibliographically approved
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ORCID iD: ORCID iD iconorcid.org/0000-0001-9477-109x

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