Iterative system solvers for the frequency analysis of linear mechanical systems

By A. Feriani, F. Perotti, Valeria Simoncini. 2000

192 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Statistical and Nonlinear Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/2f78137edb07844ecc7222b762ad7b9f5cd2e725

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Michele Benzi
2. Daniele Bertaccini
3. Mehdi Dehghan
4. Masoud Hajarian
5. Valeria Simoncini

In Statistical and Nonlinear Physics

1. Daniel B. Szyld
2. Valeria Simoncini
3. Michele Benzi
4. Daniele Bertaccini
5. Mehdi Dehghan
6. Nicholas John Higham
7. Volker Mehrmann
8. Masoud Hajarian

In Statistics and Probability

1. Michele Benzi
2. Daniele Bertaccini
3. Mehdi Dehghan
4. Nicholas John Higham
5. Volker Mehrmann
6. Valeria Simoncini

Citations in the corpus

• NLEVP: A Collection of Nonlinear Eigenvalue Problems (2013, background): “C + (1 + iµ)K arising in a model of a concrete structure supporting a machine assembly [Feriani et al. 2000].”
• Modified HSS iteration methods for a class of complex symmetric linear systems (2010, unknown): “Complex symmetric linear systems of this kind arise in many problems in scientific computing and engineering applications, including diffuse optical tomography [1], FFT-based solution of certain time-dependent PDEs [6], quantum mechanics [15], molecular scattering [11], structural dynamics [8], and ”
• Restarted Full Orthogonalization Method for Shifted Linear Systems (2003, methodology): “This is a simple variant of the previous scheme, which was used in [2] to cure misconvergence of the original approach in [5].”
• Block preconditioning of real-valued iterative algorithms for complex linear systems (2007, methodology): “Finally, we include a few tests with linear systems arising in frequency analysis of mechanical systems (see Feriani et al., 2000).”
• Recent computational developments in Krylov subspace methods for linear systems (2007, background): “For example, when using approximately a Schur complement as in Mandel [221], Maryška, Rozložník, and Tůma [225], or Smith, Bjørstad, and Gropp [312], or other situations where the operator in question implies a solution of a linear system, such as in certain eigenvalue algorithms; see Golub, Zhang, ”
• A Generalized Preconditioned MHSS Method for a Class of Complex Symmetric Linear Systems (2013, background): “As it is stated in [4], complex symmetric linear systems of this kind appear in several applications in scientific computing and engineering, including quantum mechanics [23], diffuse optimal tomography [2], structural dynamics [18], FFTbased solution of certain time-dependent PDEs [14], molecular s”