Lusin theorem, GLT sequences and matrix computations: An application to the spectral analysis of PDE discretization matrices
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Hendrik Speleers | Carla Manni | Carlo Garoni | Stefano Serra-Capizzano | Debora Sesana | S. Serra-Capizzano | H. Speleers | C. Manni | Debora Sesana | C. Garoni
[1] Carlo Garoni,et al. A general tool for determining the asymptotic spectral distribution of Hermitian matrix-sequences , 2015 .
[2] Leonid Golinskii,et al. The asymptotic properties of the spectrum of nonsymmetrically perturbed Jacobi matrix sequences , 2007, J. Approx. Theory.
[3] S. Serra Capizzano,et al. Distribution results on the algebra generated by Toeplitz sequences: a finite-dimensional approach , 2001 .
[4] Hendrik Speleers,et al. Robust and optimal multi-iterative techniques for IgA Galerkin linear systems , 2015 .
[5] Philippe G. Ciarlet,et al. The finite element method for elliptic problems , 2002, Classics in applied mathematics.
[6] Hendrik Speleers,et al. Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods , 2017, Math. Comput..
[7] Stefano Serra Capizzano,et al. Spectral Analysis and Spectral Symbol of d-variate $\mathbb Q_{\boldsymbol p}$ Lagrangian FEM Stiffness Matrices , 2015, SIAM J. Matrix Anal. Appl..
[8] Hendrik Speleers,et al. On the spectrum of stiffness matrices arising from isogeometric analysis , 2014, Numerische Mathematik.
[9] Hendrik Speleers,et al. Spectral analysis and spectral symbol of matrices in isogeometric collocation methods , 2015, Math. Comput..
[10] H. Kreiss,et al. Time-Dependent Problems and Difference Methods , 1996 .
[11] Stefano Serra Capizzano,et al. On the Asymptotic Spectrum of Finite Element Matrix Sequences , 2007, SIAM J. Numer. Anal..
[12] Carlo Garoni. Structured matrices coming from PDE approximation theory: spectral analysis, spectral symbol and design of fast iterative solvers. , 2015 .
[13] S. Serra-Capizzano,et al. The theory of generalized locally Toeplitz sequences : a review, an extension, and a few representative applications , 2017 .
[14] C. R. Deboor,et al. A practical guide to splines , 1978 .
[15] E. E. Tyrtyshnikov. A unifying approach to some old and new theorems on distribution and clustering , 1996 .
[16] S. Capizzano. Spectral behavior of matrix sequences and discretized boundary value problems , 2001 .
[17] R. Cooke. Real and Complex Analysis , 2011 .
[18] Hendrik Speleers,et al. Symbol-Based Multigrid Methods for Galerkin B-Spline Isogeometric Analysis , 2017, SIAM J. Numer. Anal..
[19] Jean E. Roberts,et al. Mixed and hybrid finite element methods , 1987 .
[20] Stefano Serra-Capizzano,et al. The GLT class as a generalized Fourier analysis and applications , 2006 .
[21] J. Strikwerda. Finite Difference Schemes and Partial Differential Equations , 1989 .
[22] Thomas J. R. Hughes,et al. Isogeometric Analysis: Toward Integration of CAD and FEA , 2009 .
[23] A. Böttcher,et al. Introduction to Large Truncated Toeplitz Matrices , 1998 .
[24] Hendrik Speleers,et al. Robust and optimal multi-iterative techniques for IgA Galerkin linear systems This is a preprint of a paper published in Comput. Methods Appl. Mech. Engrg. 284 (2015) 230264. , 2015 .
[25] Paolo Tilli,et al. Locally Toeplitz sequences: spectral properties and applications , 1998 .
[26] S. Serra Capizzano,et al. Generalized locally Toeplitz sequences: spectral analysis and applications to discretized partial differential equations , 2003 .