Field of Values Analysis of a Two-Level Preconditioner for the Helmholtz Equation
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[1] L. Trefethen,et al. Spectra and Pseudospectra , 2020 .
[2] Cornelis Vuik,et al. Spectral Analysis of the Discrete Helmholtz Operator Preconditioned with a Shifted Laplacian , 2007, SIAM J. Sci. Comput..
[3] Jens Markus Melenk,et al. Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation , 2011, SIAM J. Numer. Anal..
[4] Cornelis Vuik,et al. A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems , 2005, SIAM J. Sci. Comput..
[5] Anne Greenbaum,et al. Iterative methods for solving linear systems , 1997, Frontiers in applied mathematics.
[6] Xiao,et al. MULTIPLICATIVE SCHWARZ ALGORITHMS FOR SOME NONSYMMETRIC AND INDEFINITE PROBLEMS , 1993 .
[7] Olof B. Widlund,et al. Domain Decomposition Algorithms for Indefinite Elliptic Problems , 2017, SIAM J. Sci. Comput..
[8] M. B. Van Gijzen,et al. CONVERGENCE BOUNDS FOR PRECONDITIONED GMRES USING ELEMENT-BY-ELEMENT ESTIMATES OF THE FIELD OF VALUES , 2006 .
[9] Yousef Saad,et al. Iterative methods for sparse linear systems , 2003 .
[10] M. Dauge. Elliptic boundary value problems on corner domains , 1988 .
[11] Harry Yserentant,et al. Preconditioning indefinite discretization matrices , 1989 .
[12] Antti Hannukainen,et al. Field of values analysis of preconditioners for the Helmholtz equation in lossy media , 2011, 1106.0424.
[13] M. Embree. How Descriptive are GMRES Convergence Bounds? , 1999, ArXiv.
[14] A. Bayliss,et al. An Iterative method for the Helmholtz equation , 1983 .
[15] Cornelis Vuik,et al. Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation , 2006 .
[16] Josef Sifuentes,et al. Preconditioned iterative methods for inhomogeneous acoustic scattering applications , 2010 .
[17] Yogi A. Erlangga,et al. Advances in Iterative Methods and Preconditioners for the Helmholtz Equation , 2008 .
[18] P. Grisvard. Singularities in Boundary Value Problems , 1992 .
[19] Charles R. Johnson,et al. Topics in Matrix Analysis , 1991 .
[20] A. H. Schatz,et al. An observation concerning Ritz-Galerkin methods with indefinite bilinear forms , 1974 .
[21] Joseph E. Pasciak,et al. Analysis of a Multigrid Algorithm for Time Harmonic Maxwell Equations , 2004, SIAM J. Numer. Anal..
[22] Gary R. Consolazio,et al. Finite Elements , 2007, Handbook of Dynamic System Modeling.
[23] I. Babuska,et al. Finite element solution of the Helmholtz equation with high wave number Part I: The h-version of the FEM☆ , 1995 .
[24] Cornelis Vuik,et al. On a Class of Preconditioners for Solving the Helmholtz Equation , 2003 .
[25] Ivo Babuska,et al. Finite Element Solution to the Helmholtz Equation with High Wave Number Part II : The hp-version of the FEM , 2022 .
[26] Y. Saad,et al. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems , 1986 .
[27] Joseph E. Pasciak,et al. Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations , 2003, Math. Comput..