7 citations · 10 across the 6 of their papers we have counts for
6 papers · 1 filter
Fast solution of incompressible flow problems with two-level pressure approximation
Jennifer Pestana, David J. Silvester
This paper develops efficient preconditioned iterative solvers for incompressible flow problems discretised by an enriched Taylor-Hood mixed approximation, in which the usual press…
The asymptotic spectrum of flipped multilevel Toeplitz matrices and of certain preconditionings
M. Mazza, J. Pestana
In this work, we perform a spectral analysis of flipped multilevel Toeplitz sequences, i.e., we study the asymptotic spectral behaviour of $\{Y_{\boldsymbol{n}}T_{\boldsymbol{n}}(f…
Analysis of parallel Schwarz algorithms for time-harmonic problems using block Toeplitz matrices
Niall Bootland, Victorita Dolean, Alexandros Kyriakis +1
In this work we study the convergence properties of the one-level parallel Schwarz method with Robin transmission conditions applied to the one-dimensional and two-dimensional Helm…
Preconditioners for symmetrized Toeplitz and multilevel Toeplitz matrices
Jennifer Pestana
When solving linear systems with nonsymmetric Toeplitz or multilevel Toeplitz matrices using Krylov subspace methods, the coefficient matrix may be symmetrized. The preconditioned…
GMRES convergence bounds for eigenvalue problems
Melina Freitag, Patrick Kürschner, Jennifer Pestana
The convergence of GMRES for solving linear systems can be influenced heavily by the structure of the right hand side. Within the solution of eigenvalue problems via inverse iterat…
Fast Multipole Preconditioners for Sparse Matrices Arising from Elliptic Equations
Huda Ibeid, Rio Yokota, Jennifer Pestana +1
Among optimal hierarchical algorithms for the computational solution of elliptic problems, the Fast Multipole Method (FMM) stands out for its adaptability to emerging architectures…