A Coarse Space Construction Based on Local Dirichlet-to-Neumann Maps. - Frédéric Nataf; Hua Xiang 002; Victorita Dolean; Nicole Spillane (SIAM J. Sci. Comput., 2011)

Analysis of a Two-level Schwarz Method with Coarse Spaces Based on Local Dirichlet-to-Neumann Maps. - Victorita Dolean; Frédéric Nataf; Robert Scheichl; Nicole Spillane (Comput. Methods Appl. Math., 2012)

High performance domain decomposition methods on massively parallel architectures with freefem++. - Pierre Jolivet; Victorita Dolean; Frédéric Hecht; Frédéric Nataf; Christophe Prud'homme; Nicole Spillane (J. Num. Math., 2012)

How to Make a Domain Decomposition Method More Robust. - Nicole Spillane (LSSC, 2013)

A Two-Level Schwarz Preconditioner for Heterogeneous Problems. - Victorita Dolean; Frédéric Nataf; Robert Scheichl; Nicole Spillane (Domain Decomposition Methods in Science and Engineering XX, 2013)

Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps. - Nicole Spillane; Victorita Dolean; Patrice Hauret; Frédéric Nataf; Clemens Pechstein; Robert Scheichl (Numerische Mathematik, 2014)

An Adaptive MultiPreconditioned Conjugate Gradient Algorithm. - Nicole Spillane (SIAM J. Sci. Comput., 2016)

An abstract theory of domain decomposition methods with coarse spaces of the GenEO family. - Nicole Spillane (CoRR, 2021)

Fully algebraic domain decomposition preconditioners with adaptive spectral bounds. - Loïc Gouarin; Nicole Spillane (CoRR, 2021)

Toward a new fully algebraic preconditioner for symmetric positive definite problems. - Nicole Spillane (CoRR, 2021)

New Convergence Analysis of GMRES with Weighted Norms, Preconditioning, and Deflation, Leading to a New Deflation Space. - Nicole Spillane; Daniel B. Szyld (SIAM J. Matrix Anal. Appl., 2024)

Hermitian Preconditioning for a Class of Non-Hermitian Linear Systems. - Nicole Spillane (SIAM J. Sci. Comput., 2024)

Improved Polynomial Bounds and Acceleration of GMRES by Solving a min-max Problem on Rectangles, and by Deflating. - Nicole Spillane; Daniel B. Szyld (CoRR, 2025)

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES. - Pierre Matalon; Nicole Spillane (CoRR, 2025)

High Performance Parallel Solvers for the time-harmonic Maxwell Equations. - Élise Fressart; Sébastien Dubois; Loïc Gouarin; Marc Massot; Michel Nowak; Nicole Spillane (CoRR, 2025)