2 citations · 2 across the 2 of their papers we have counts for
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Spectral Analysis of Block Diagonally Preconditioned Multiple Saddle-Point Matrices with Inexact Schur Complements
Marco Pilotto, Luca Bergamaschi, Angeles Martinez
We derive eigenvalue bounds for symmetric block-tridiagonal multiple saddle-point systems preconditioned with block-diagonal Schur complement matrices. This analysis applies to an…
Triangular preconditioners for double saddle point linear systems arising in the mixed form of poroelasticity equations
Luca Bergamaschi, Massimiliano Ferronato, Angeles Martinez
In this paper, we study a class of inexact block triangular preconditioners for double saddle-point symmetric linear systems arising from the mixed finite element and mixed hybrid…
Eigenvalue bounds for preconditioned symmetric multiple saddle-point matrices
L. Bergamaschi, A. Martinez, J. W. Pearson +1
We develop eigenvalue bounds for symmetric, block tridiagonal multiple saddle-point linear systems, preconditioned with block diagonal matrices. We extend known results for $3 \tim…
Spectral analysis of block preconditioners for double saddle-point linear systems with application to PDE-constrained optimization
Luca Bergamaschi, Angeles Martinez, John Pearson +1
In this paper, we describe and analyze the spectral properties of a symmetric positive definite inexact block preconditioner for a class of symmetric, double saddle-point linear sy…
Some preconditioning techniques for a class of double saddle point problems
Fariba Balani Bakrani, Luca Bergamaschi, Angeles Martinez +1
In this paper, we describe and analyze the spectral properties of a number of exact block preconditioners for a class of double saddle point problems. Among all these, we consider…
Parallel-in-Time Solver for the All-at-Once Runge--Kutta Discretization
Santolo Leveque, Luca Bergamaschi, Ángeles Martínez +1
In this article, we derive fast and robust parallel-in-time preconditioned iterative methods for the all-at-once linear systems arising upon discretization of time-dependent PDEs.…