Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps N Spillane, V Dolean, P Hauret, F Nataf, C Pechstein, R Scheichl Numerische Mathematik 126, 741-770, 2014 | 257 | 2014 |
Analysis of a two-level Schwarz method with coarse spaces based on local Dirichlet-to-Neumann maps V Dolean, F Nataf, R Scheichl, N Spillane Computational Methods in Applied Mathematics 12 (4), 391-414, 2012 | 147 | 2012 |
Automatic spectral coarse spaces for robust finite element tearing and interconnecting and balanced domain decomposition algorithms N Spillane, DJ Rixen International Journal for Numerical Methods in Engineering 95 (11), 953-990, 2013 | 128 | 2013 |
A coarse space construction based on local Dirichlet-to-Neumann maps F Nataf, H Xiang, V Dolean, N Spillane SIAM Journal on Scientific Computing 33 (4), 1623-1642, 2011 | 110 | 2011 |
Simultaneous FETI and block FETI: Robust domain decomposition with multiple search directions P Gosselet, D Rixen, FX Roux, N Spillane International Journal for Numerical Methods in Engineering 104 (10), 905-927, 2015 | 69 | 2015 |
A robust two-level domain decomposition preconditioner for systems of PDEs N Spillane, V Dolean, P Hauret, F Nataf, C Pechstein, R Scheichl Comptes Rendus Mathematique 349 (23-24), 1255-1259, 2011 | 68 | 2011 |
High performance domain decomposition methods on massively parallel architectures with freefem++ P Jolivet, V Dolean, F Hecht, F Nataf, C Prud’Homme, N Spillane Journal of Numerical Mathematics 20 (3-4), 287-302, 2012 | 63 | 2012 |
An adaptive multipreconditioned conjugate gradient algorithm N Spillane SIAM journal on Scientific Computing 38 (3), A1896-A1918, 2016 | 55 | 2016 |
Solving generalized eigenvalue problems on the interfaces to build a robust two-level FETI method N Spillane, V Dolean, P Hauret, F Nataf, DJ Rixen Comptes rendus mathématique 351 (5-6), 197-201, 2013 | 49 | 2013 |
Adaptive multipreconditioned FETI: Scalability results and robustness assessment C Bovet, A Parret-Fréaud, N Spillane, P Gosselet Computers & Structures 193, 1-20, 2017 | 45 | 2017 |
Large time-step numerical scheme for the seven-equation model of compressible two-phase flows C Chalons, F Coquel, S Kokh, N Spillane Finite Volumes for Complex Applications VI Problems & Perspectives: FVCA 6 …, 2011 | 21 | 2011 |
Robust domain decomposition methods for symmetric positive definite problems N Spillane Université Pierre et Marie Curie-Paris VI, 2014 | 18 | 2014 |
Two-level domain decomposition methods for highly heterogeneous Darcy equations. Connections with multiscale methods V Dolean, P Jolivet, F Nataf, N Spillane, H Xiang Oil & Gas Science and Technology–Revue d’IFP Energies nouvelles 69 (4), 731-752, 2014 | 12 | 2014 |
Méthodes de décomposition de domaine robustes pour les problèmes symétriques définis positifs N Spillane Paris 6, 2014 | 11 | 2014 |
Fully algebraic domain decomposition preconditioners with adaptive spectral bounds L Gouarin, N Spillane arXiv preprint arXiv:2106.10913, 2021 | 8 | 2021 |
An abstract theory of domain decomposition methods with coarse spaces of the GenEO family N Spillane arXiv preprint arXiv:2104.00280, 2021 | 8 | 2021 |
Multipreconditioning for nonsymmetric problems: The case of orthomin and biCG C Bovet, P Gosselet, N Spillane Comptes Rendus. Mathématique 355 (3), 354-358, 2017 | 8 | 2017 |
Toward a new fully algebraic preconditioner for symmetric positive definite problems N Spillane Domain Decomposition Methods in Science and Engineering XXVI, 745-752, 2023 | 7 | 2023 |
Achieving robustness through coarse space enrichment in the two level Schwarz framework N Spillane, V Dolean, P Hauret, F Nataf, C Pechstein, R Scheichl Domain decomposition methods in science and engineering XXI, 447-455, 2014 | 7 | 2014 |
Automatic spectral coarse spaces for robust FETI and BDD algorithms N Spillane, DJ Rixen | 5 | 2012 |