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Vuik, Cornelis

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Author ID: vuik.c Recent zbMATH articles by "Vuik, Cornelis"
Published as: Vuik, C.; Vuik, Cornelis; Vuik, Kees; Vuik, K.
Homepage: http://ta.twi.tudelft.nl/nw/users/vuik/
External Links: MGP · ORCID · dblp
Documents Indexed: 157 Publications since 1985, including 5 Books
all top 5

Co-Authors

11 single-authored
24 Vermolen, Fred J.
11 van der Heul, Duncan R.
10 Oosterlee, Cornelis Willebrordus
9 Segal, Guus
8 Javierre, E.
8 Van Gijzen, Martin Bastiaan
7 Erlangga, Yogi A.
7 Tang, Jok M.
6 Lahaye, Domenico
6 Nabben, Reinhard
6 Ur Rehman, Mehfooz
6 van der Zwaag, S.
5 Möller, Matthias
5 Ryan, Jennifer K.
4 de Borst, René
4 He, Xin
4 Kleijn, Chris R.
4 MacLachlan, Scott P.
4 van Meurs, G. A. M.
4 Van Slingerland, Paulien
4 van Veldhuizen, S.
4 van Wijngaarden, W. K.
3 Dwarka, Vandana
3 Henkes, Ruud A. W. M.
3 Jönsthövel, Tom B.
3 Klaij, Christiaan M.
3 Knibbe, H.
3 Li, Xiaozhou
3 Lukyanov, Alexander A.
3 Qiu, Yue
3 van der Ven, Harmen
3 Van der Vorst, Henk Albertus
3 van ’t Wout, Elwin
3 Van Wingerden, Jan-Willem
3 Verhaegen, Michel
2 Brusche, J. H.
2 Dekker, Kees
2 Gaiko, Valery A.
2 Hinz, Jochen
2 Meijerink, J. A.
2 Mulder, Wim A.
2 Plessix, René-Edouard
2 Scarpas, A.
2 Sereeter, Baljinnyam
2 Tielen, R.
2 van der Pijl, Sander P.
2 van der Ploeg, Auke
2 van der Veen, Hilda
2 Van Zwieten, J. S. B.
1 Aissa, Mohamed
1 Alipour, Najmeh
1 Boerstoel, G. P.
1 Bonnier, P. G.
1 Botta, Eugen F. F.
1 Brinkgreve, R. B. J.
1 Chen, Jinhai
1 Cusini, Matteo
1 Cuvelier, C.
1 de Jong, Martin
1 de la Fonteijne, M. R.
1 de Zeeuw, Paul M.
1 den Decker, P.
1 Den Ouden, D.
1 Diaz Cortes, G. B.
1 Ditzel, Auke
1 Dufour, E.
1 Ebadi, Ghodrat
1 El Yaakoubi, L.
1 García Ramos, Luis
1 Geenen, T.
1 Göddeke, Dominik
1 Hajibeygi, Hadi
1 Hendrix, Maurice H. W.
1 Herman, Gérard C.
1 Hooghiemstra, P. B.
1 HosseiniMehr, Mousa
1 Idema, Reijer
1 IJzermans, Rutger H. A.
1 Jaeschke, Andrzej
1 Jansen, Jan-Dirk
1 Ji, Liangyue
1 Jüttler, Bert
1 Kassels, C. G. M.
1 Kassels, Kees
1 Knoester, H.
1 Kootte, M. E.
1 Koppenol-Gonzalez, Gabriela V.
1 Koppenol, Daniël C.
1 Koren, Barry
1 Lindenberg, Kimberley
1 Lingen, Frederik Jan
1 Markensteijn, A. S.
1 Meerman, H.
1 Neytcheva, Maya G.
1 Niessen, Frank B.
1 Notay, Yvan
1 Ooms, Gijs
1 Oud, G. T.
1 Paarhuis, B. D.
1 Poesio, Pietro
...and 26 more Co-Authors
all top 5

Serials

16 Journal of Computational and Applied Mathematics
13 Journal of Computational Physics
11 International Journal for Numerical Methods in Fluids
8 Applied Numerical Mathematics
8 SIAM Journal on Scientific Computing
6 Numerical Linear Algebra with Applications
5 Computational Geosciences
4 Computer Methods in Applied Mechanics and Engineering
3 Computers & Mathematics with Applications
3 Journal of Scientific Computing
3 ETNA. Electronic Transactions on Numerical Analysis
3 Nieuw Archief voor Wiskunde. Vijfde Serie
3 Lecture Notes in Computational Science and Engineering
2 Computers and Fluids
2 Journal of Mathematical Biology
2 International Journal for Numerical Methods in Engineering
2 FGCS. Future Generation Computer Systems
2 Nieuw Archief voor Wiskunde. Vierde Serie
2 Computing and Visualization in Science
2 IEEE Transactions on Antennas and Propagation
2 Numerical Mathematics: Theory, Methods and Applications
1 Computers and Structures
1 Mathematical Methods in the Applied Sciences
1 Mathematics of Computation
1 Numerische Mathematik
1 SIAM Journal on Numerical Analysis
1 Computer Aided Geometric Design
1 Journal of Computational Mathematics
1 Computational Mechanics
1 Numerical Methods for Partial Differential Equations
1 SIAM Journal on Matrix Analysis and Applications
1 Linear Algebra and its Applications
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Physics of Fluids
1 Advances in Computational Mathematics
1 Dinamicheskie Sistemy (Simferopol’)
1 Nonlinear Analysis. Modelling and Control
1 Journal of Numerical Mathematics
1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics
1 Involve
1 IAENG. International Journal of Applied Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Geosystems Mathematics

Publications by Year

Citations contained in zbMATH Open

114 Publications have been cited 1,209 times in 728 Documents Cited by Year
A novel multigrid based preconditioner for heterogeneous Helmholtz problems. Zbl 1095.65109
Erlangga, Y. A.; Oosterlee, C. W.; Vuik, C.
109
2006
On a class of preconditioners for solving the Helmholtz equation. Zbl 1051.65101
Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W.
92
2004
GMRESR: A family of nested GMRES methods. Zbl 0839.65040
Van der Vorst, H. A.; Vuik, C.
68
1994
A mass-conserving level-set method for modelling of multi-phase flows. Zbl 1065.76160
van der Pijl, S. P.; Segal, A.; Vuik, C.; Wesseling, P.
67
2005
Spectral analysis of the discrete Helmholtz operator preconditioned with a shifted Laplacian. Zbl 1155.65088
van Gijzen, M. B.; Erlangga, Y. A.; Vuik, C.
50
2007
A conservative pressure-correction method for flow at all speeds. Zbl 1046.76033
van der Heul, D. R.; Vuik, C.; Wesseling, P.
48
2003
The superlinear convergence behaviour of GMRES. Zbl 0797.65026
Van der Vorst, H. A.; Vuik, C.
45
1993
Comparison of two-level preconditioners derived from deflation, domain decomposition and multigrid methods. Zbl 1203.65073
Tang, J. M.; Nabben, R.; Vuik, C.; Erlangga, Y. A.
38
2009
An efficient preconditioned CG method for the solution of a class of layered problems with extreme contrasts in the coefficients. Zbl 0945.76048
Vuik, C.; Segal, A.; Meijerink, J. A.
37
1999
Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation. Zbl 1094.65041
Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W.
36
2006
On the construction of deflation-based preconditioners. Zbl 0997.65072
Frank, J.; Vuik, C.
29
2001
A parallel multigrid-based preconditioner for the 3D heterogeneous high-frequency Helmholtz equation. Zbl 1120.65127
Riyanti, C. D.; Kononov, A.; Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W.; Plessix, R.-E.; Mulder, W. A.
27
2007
On the convergence of shifted Laplace preconditioner combined with multilevel deflation. Zbl 1313.65293
Sheikh, A. H.; Lahaye, D.; Vuik, C.
26
2013
A comparison of numerical models for one-dimensional Stefan problems. Zbl 1092.65072
Javierre, E.; Vuik, C.; Vermolen, F. J.; van der Zwaag, S.
23
2006
A comparison of deflation and coarse grid correction applied to porous media flow. Zbl 1146.76658
Nabben, R.; Vuik, C.
22
2004
Position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering for improving discontinuous Galerkin solutions. Zbl 1368.65197
van Slingerland, Paulien; Ryan, Jennifer K.; Vuik, C.
20
2011
The Krylov accelerated SIMPLE(R) method for flow problems in industrial furnaces. Zbl 0960.76054
Vuik, C.; Saghir, A.; Boerstoel, G. P.
18
2000
An \(L^ 2\)-error estimate for an approximation of the solution of a parabolic variational inequality. Zbl 0696.65069
Vuik, C.
18
1990
A comparison of deflation and the balancing preconditioner. Zbl 1105.65049
Nabben, R.; Vuik, C.
17
2006
Fast and robust solvers for pressure-correction in bubbly flow problems. Zbl 1317.76062
MacLachlan, S. P.; Tang, J. M.; Vuik, C.
16
2008
A conserving discretization for the free boundary in a two-dimensional Stefan problem. Zbl 0931.65100
Segal, Guus; Vuik, Kees; Vermolen, Fred
14
1998
A comparison of two-level preconditioners based on multigrid and deflation. Zbl 1205.65143
Tang, J. M.; MacLachlan, S. P.; Nabben, R.; Vuik, C.
13
2010
A comparison of preconditioners for incompressible Navier-Stokes solvers. Zbl 1262.76083
ur Rehman, M.; Vuik, C.; Segal, G.
13
2008
Solution of the discretized incompressible Navier-Stokes equations with the GMRES method. Zbl 0825.76552
Vuik, C.
12
1993
A mathematical analysis of physiological and morphological aspects of wound closure. Zbl 1232.92054
Javierre, E.; Vermolen, F. J.; Vuik, C.; van der Zwaag, S.
11
2009
A comparison of some GMRES-like methods. Zbl 0749.65027
Vuik, C.; van der Vorst, H. A.
11
1992
Preconditioners for incompressible Navier-Stokes solvers. Zbl 1240.65098
Segal, A.; ur Rehman, M.; Vuik, C.
10
2010
Numerical solution of an etching problem. Zbl 0586.65085
Vuik, C.; Cuvelier, C.
10
1985
The construction of projection vectors for a deflated ICCG method applied to problems with extreme contrasts in the coefficients. Zbl 1043.76039
Vuik, C.; Segal, A.; Meijerink, J. A.; Wijma, G. T.
10
2001
New insights in GMRES-like methods with variable preconditioners. Zbl 0844.65021
Vuik, C.
10
1995
Accelerating the shifted Laplace preconditioner for the Helmholtz equation by multilevel deflation. Zbl 1352.65456
Sheikh, A. H.; Lahaye, D.; Garcia Ramos, L.; Nabben, R.; Vuik, C.
10
2016
Smoothness-increasing accuracy-conserving (SIAC) filters for derivative approximations of discontinuous Galerkin (DG) solutions over nonuniform meshes and near boundaries. Zbl 1327.65243
Li, X.; Ryan, J. K.; Kirby, R. M.; Vuik, C.
10
2016
Eigenvalue analysis of the SIMPLE preconditioning for incompressible flow. Zbl 1164.65398
Li, Chun Guang; Vuik, C.
10
2004
Shifted-Laplacian preconditioners for heterogeneous Helmholtz problems. Zbl 1190.65183
Oosterlee, C. W.; Vuik, C.; Mulder, W. A.; Plessix, R.-E.
9
2010
SIMPLE-type preconditioners for the Oseen problem. Zbl 1171.76033
Ur Rehman, M.; Vuik, C.; Segal, G.
9
2009
A conservative pressure-correction method for the Euler and ideal MHD equations at all speeds. Zbl 1042.76046
van der Heul, D. R.; Vuik, C.; Wesseling, P.
9
2002
Fast iterative solvers for the discretized incompressible Navier-Stokes equations. Zbl 0863.76061
Vuik, C.
9
1996
On iterative methods for the incompressible Stokes problem. Zbl 1429.76073
ur Rehman, M.; Geenen, T.; Vuik, C.; Segal, G.; MacLachlan, S. P.
8
2011
Efficient deflation methods applied to 3-D bubbly flow problems. Zbl 1391.76580
Tang, J. M.; Vuik, C.
8
2007
Stability analysis of segregated solution methods for compressible flow. Zbl 1017.76065
van der Heul, D. R.; Vuik, C.; Wesseling, P.
8
2001
On deflation and singular symmetric positive semi-definite matrices. Zbl 1125.65028
Tang, J. M.; Vuik, C.
8
2007
One-sided position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering over uniform and non-uniform meshes. Zbl 1326.65135
Ryan, Jennifer K.; Li, Xiaozhou; Kirby, Robert M.; Vuik, Kees
8
2015
GPU implementation of a Helmholtz Krylov solver preconditioned by a shifted Laplace multigrid method. Zbl 1228.65208
Knibbe, H.; Oosterlee, C. W.; Vuik, C.
7
2011
A comparison of abstract versions of deflation, balancing and additive coarse grid correction preconditioners. Zbl 1212.65121
Nabben, R.; Vuik, C.
6
2008
Fast linear solver for diffusion problems with applications to pressure computation in layered domains. Zbl 1386.65111
van Slingerland, P.; Vuik, C.
6
2014
How fast the Laplace equation was solved in 1995. Zbl 0891.65112
Botta, E. F. F.; Dekker, K.; Notay, Y.; van der Ploeg, A.; Vuik, C.; Wubs, F. W.; de Zeeuw, P. M.
6
1997
Numerical solution of the incompressible Navier-Stokes equations by Krylov subspace and multigrid methods. Zbl 0827.76069
Zeng, S.; Vuik, C.; Wesseling, P.
6
1995
Domain decomposition for the incompressible Navier-Stokes equations: Solving subdomain problems accurately and inaccurately. Zbl 0915.76063
Brakkee, E.; Vuik, C.; Wesseling, P.
6
1998
Superconvergent error estimates for position-dependent smoothness-increasing accuracy-conserving (SIAC) post-processing of discontinuous Galerkin solutions. Zbl 1300.65066
Ji, Liangyue; van Slingerland, Paulien; Ryan, Jennifer K.; Vuik, Kees
6
2014
Some historical notes on the Stefan problem. Zbl 0801.35002
Vuik, C.
6
1993
On the use of rigid body modes in the deflated preconditioned conjugate gradient method. Zbl 1372.74017
Jönsthövel, T. B.; Van Gijzen, M. B.; Vuik, C.; Scarpas, A.
5
2013
Deflation in preconditional conjugate gradient methods for finite element problems. Zbl 1069.65129
Vermolen, Fred; Vuik, Kees; Segal, Guus
5
2004
On the implementation of symmetric and antisymmetric periodic boundary conditions for incompressible flow. Zbl 0807.76041
Segal, Guus; Vuik, Kees; Kassels, Kees
5
1994
Modern solvers for Helmholtz problems. Zbl 1367.65005
Lahaye, Domenico (ed.); Tang, Jok (ed.); Vuik, Kees (ed.)
4
2017
A mathematical model for the dissolution of particlesin multi-component alloys. Zbl 0974.65082
Vermolen, F. J.; Vuik, C.
4
2000
A conserving discretization for a Stefan problem with an interface reaction at the free boundary. Zbl 1060.35535
Vuik, C.; Segal, A.; Vermolen, F. J.
4
2000
New variants of deflation techniques for pressure correction in bubbly flow problems. Zbl 1235.76043
Tang, J. M.; Vuik, C.
4
2007
Preconditioners for the steady incompressible Navier-Stokes problem. Zbl 1229.76032
ur Rehman, M.; Vuik, C.; Segal, G.
4
2008
Numerical methods for reacting gas flow simulations. Zbl 1155.76417
van Veldhuizen, S.; Vuik, C.; Kleijn, C. R.
3
2006
Numerical modelling of epidermal wound healing. Zbl 1153.92017
Javierre, E.; Vermolen, F. J.; Vuik, C.; van der Zwaag, S.
3
2008
Comparison of the deflated preconditioned conjugate gradient method and algebraic multigrid for composite materials. Zbl 1398.74345
Jönsthövel, T. B.; van Gijzen, M. B.; MacLachlan, S.; Vuik, C.; Scarpas, A.
3
2012
Core-annular flow through a horizontal pipe: hydrodynamic counterbalancing of buoyancy force on core. Zbl 1182.76571
Ooms, G.; Vuik, C.; Poesio, P.
3
2007
Branch switching techniques for bifurcation in soil deformation. Zbl 0967.74042
van der Veen, Hilda; Vuik, Kees; de Borst, René
3
2000
A staggered scheme for hyperbolic conservation laws applied to unsteady sheet cavitation. Zbl 1067.76583
van der Heul, D. R.; Vuik, C.; Wesseling, P.
3
1999
Computing incompressible flows in general domains. Zbl 0873.76055
Wesseling, P.; Kassels, C. G. M.; Oosterlee, C. W.; Segal, A.; Vuik, C.; Zeng, S.; Zijlema, M.
3
1994
A numerical method to compute the dissolution of second phases in ternary alloys. Zbl 0932.80004
Vermolen, Fred; Vuik, Kees
3
1998
Algebraic dynamic multilevel method for embedded discrete fracture model (F-ADM). Zbl 1416.76151
HosseiniMehr, Mousa; Cusini, Matteo; Vuik, Cornelis; Hajibeygi, Hadi
3
2018
Combining the augmented Lagrangian preconditioner with the simple Schur complement approximation. Zbl 1392.65053
He, Xin; Vuik, Cornelis; Klaij, Christiaan M.
3
2018
Modelling the new soil improvement method biogrout: extension to 3D. Zbl 1402.92466
van Wijngaarden, W. K.; Vermolen, F. J.; van Meurs, G. A. M.; Vuik, C.
2
2010
Various flow equations to model the new soil improvement method biogrout. Zbl 1451.74168
Van Wijngaarden, W. K.; Vermolen, F. J.; Van Meurs, G. A. M.; Vuik, C.
2
2013
Scalable two-level preconditioning and deflation based on a piecewise constant subspace for (SIP)DG systems for diffusion problems. Zbl 1297.65036
van Slingerland, P.; Vuik, C.
2
2015
Bi-Lanczos with partial orthogonalization. Zbl 0900.73941
van der Veen, H. I.; Vuik, K.
2
1995
A comparison of various deflation vectors applied to elliptic problems with discontinuous coefficients. Zbl 1143.65396
Vuik, C.; Segal, A.; El Yaakoubi, L.; Dufour, E.
2
2002
A parallel block-preconditioned GCR method for incompressible flow problems. Zbl 1032.68811
Vuik, C.; Frank, J.; Segal, A.
2
2001
Review on some Stefan problems for particle dissolution in solid metallic alloys. Zbl 1089.80002
Vermolen, F. J.; Vuik, C.; Javierre, E.; van der Zwaag, S.
2
2005
On a class of preconditioners for solving the discrete Helmholtz equation. Zbl 1049.65111
Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W.
2
2003
Fast pressure calculation for 2D and 3D time dependent incompressible flow. Zbl 1090.76520
van Kan, J.; Vuik, C.; Wesseling, P.
2
2000
Solution of vector Stefan problems with cross-diffusion. Zbl 1107.80010
Vermolen, F. J.; Vuik, C.
2
2005
Parallel implementation of a multiblock method with approximate subdomain solution. Zbl 0928.65046
Frank, J.; Vuik, C.
2
1999
A comparison of some GMRES-like methods. Zbl 0785.65043
Vuik, C.
2
1992
Comparison of ODE methods for laminar reacting gas flow simulations. Zbl 1159.76030
van Veldhuizen, S.; Vuik, C.; Kleijn, C. R.
2
2008
How to choose the shift in the shifted Laplace preconditioner for the Helmholtz equation combined with deflation. Zbl 1366.65094
Lahaye, D.; Vuik, C.
2
2017
On POD-based deflation vectors for DPCG applied to porous media problems. Zbl 1432.76253
Diaz Cortes, G. B.; Vuik, C.; Jansen, J. D.
2
2018
Block-preconditioners for the incompressible Navier-Stokes equations discretized by a finite volume method. Zbl 1367.65050
He, Xin; Vuik, Cornelis; Klaij, Christiaan
2
2017
Comparison of some preconditioners for the incompressible Navier-Stokes equations. Zbl 1389.76016
He, X.; Vuik, C.
2
2016
Design of temporal basis functions for time domain integral equation methods with predefined accuracy and smoothness. Zbl 1370.78172
van ’t Wout, Elwin; van der Heul, Duncan R.; van der Ven, Harmen; Vuik, Cornelis
2
2013
Toward a GPU-aware comparison of explicit and implicit CFD simulations on structured meshes. Zbl 1394.65141
Aissa, Mohamed; Verstraete, Tom; Vuik, Cornelis
2
2017
A level set method for three dimensional vector Stefan problems: dissolution of stoichiometric particles in multi-component alloys. Zbl 1125.80002
Javierre, E.; Vuik, C.; Vermolen, F. J.; Segal, A.
2
2007
On preconditioning of incompressible non-Newtonian flow problems. Zbl 1349.76011
He, Xin; Neytcheva, Maya; Vuik, Cornelis
2
2015
Stability analysis of the marching-on-in-time boundary element method for electromagnetics. Zbl 1336.78016
van ’t Wout, Elwin; van der Heul, Duncan R.; van der Ven, Harmen; Vuik, Cornelis
2
2016
Scalable convergence using two-level deflation preconditioning for the Helmholtz equation. Zbl 1439.65139
Dwarka, Vandana; Vuik, Cornelis
2
2020
A cut-cell finite-element method for a discontinuous switch model for wound closure. Zbl 1402.92135
Zemskov, S. V.; Vermolen, F. J.; Javierre, E.; Vuik, C.
1
2010
Application of the shifted-Laplace preconditioner for iterative solution of a higher order finite element discretisation of the vector wave equation: first experiences. Zbl 1203.78044
Hooghiemstra, P. B.; van der Heul, D. R.; Vuik, C.
1
2010
Advanced computational methods in science and engineering. Zbl 1181.68007
Koren, Barry (ed.); Vuik, Kees (ed.)
1
2010
On projected Newton-Krylov solvers for instationary laminar reacting gas flows. Zbl 1329.76304
van Veldhuizen, S.; Vuik, C.; Kleijn, C. R.
1
2010
An eigenvalue analysis of nonassociated plasticity. Zbl 0948.74007
Van der Veen, H.; Vuik, C.; De Borst, R.
1
1999
The deflation accelerated Schwarz method for CFD. Zbl 1129.76347
Verkaik, J.; Vuik, C.; Paarhuis, B. D.; Twerda, A.
1
2005
A preconditioned Krylov subspace method for the solution of least squares problems in inverse scattering. Zbl 0857.65044
Vuik, Kees; Sevink, Agur G. J.; Herman, Gérard C.
1
1996
A vector-valued Stefan problem from aluminium industry. Zbl 1042.80004
Vermolen, Fred; Vuik, Kees
1
1999
Modeling of multi-phase flows with a level-set method. Zbl 1216.76057
van der Pijl, Sander P.; Segal, A.; Vuik, C.
1
2004
Scalable convergence using two-level deflation preconditioning for the Helmholtz equation. Zbl 1439.65139
Dwarka, Vandana; Vuik, Cornelis
2
2020
Algebraic dynamic multilevel method for embedded discrete fracture model (F-ADM). Zbl 1416.76151
HosseiniMehr, Mousa; Cusini, Matteo; Vuik, Cornelis; Hajibeygi, Hadi
3
2018
Combining the augmented Lagrangian preconditioner with the simple Schur complement approximation. Zbl 1392.65053
He, Xin; Vuik, Cornelis; Klaij, Christiaan M.
3
2018
On POD-based deflation vectors for DPCG applied to porous media problems. Zbl 1432.76253
Diaz Cortes, G. B.; Vuik, C.; Jansen, J. D.
2
2018
Global dynamics in the Leslie-Gower model with the Allee effect. Zbl 1404.34058
Gaiko, Valery A.; Vuik, Cornelis
1
2018
Evaluation of multilevel sequentially semiseparable preconditioners on computational fluid dynamics benchmark problems using incompressible flow and iterative solver software. Zbl 1386.65104
Qiu, Yue; van Gijzen, Martin B.; van Wingerden, Jan-Willem; Verhaegen, Michel; Vuik, Cornelis
1
2018
Modern solvers for Helmholtz problems. Zbl 1367.65005
Lahaye, Domenico; Tang, Jok; Vuik, Kees
4
2017
How to choose the shift in the shifted Laplace preconditioner for the Helmholtz equation combined with deflation. Zbl 1366.65094
Lahaye, D.; Vuik, C.
2
2017
Block-preconditioners for the incompressible Navier-Stokes equations discretized by a finite volume method. Zbl 1367.65050
He, Xin; Vuik, Cornelis; Klaij, Christiaan
2
2017
Toward a GPU-aware comparison of explicit and implicit CFD simulations on structured meshes. Zbl 1394.65141
Aissa, Mohamed; Verstraete, Tom; Vuik, Cornelis
2
2017
Meshless multi-point flux approximation. Zbl 1442.76086
Lukyanov, Alexander A.; Vuik, Cornelis
1
2017
Efficient simulation of one-dimensional two-phase flow with a high-order \(h\)-adaptive space-time discontinuous Galerkin method. Zbl 1390.76388
van Zwieten, J. S. B.; Sanderse, B.; Hendrix, M. H. W.; Vuik, C.; Henkes, R. A. W. M.
1
2017
Accelerating the shifted Laplace preconditioner for the Helmholtz equation by multilevel deflation. Zbl 1352.65456
Sheikh, A. H.; Lahaye, D.; Garcia Ramos, L.; Nabben, R.; Vuik, C.
10
2016
Smoothness-increasing accuracy-conserving (SIAC) filters for derivative approximations of discontinuous Galerkin (DG) solutions over nonuniform meshes and near boundaries. Zbl 1327.65243
Li, X.; Ryan, J. K.; Kirby, R. M.; Vuik, C.
10
2016
Comparison of some preconditioners for the incompressible Navier-Stokes equations. Zbl 1389.76016
He, X.; Vuik, C.
2
2016
Stability analysis of the marching-on-in-time boundary element method for electromagnetics. Zbl 1336.78016
van ’t Wout, Elwin; van der Heul, Duncan R.; van der Ven, Harmen; Vuik, Cornelis
2
2016
The parallel subdomain-levelset deflation method in reservoir simulation. Zbl 1349.76658
van der Linden, J. H.; Jönsthövel, T. B.; Lukyanov, A. A.; Vuik, C.
1
2016
Deflated and augmented global Krylov subspace methods for the matrix equations. Zbl 1329.65087
Ebadi, G.; Alipour, N.; Vuik, C.
1
2016
Reduction of computing time for least-squares migration based on the Helmholtz equation by graphics processing units. Zbl 1390.86008
Knibbe, H.; Vuik, C.; Oosterlee, C. W.
1
2016
One-sided position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering over uniform and non-uniform meshes. Zbl 1326.65135
Ryan, Jennifer K.; Li, Xiaozhou; Kirby, Robert M.; Vuik, Kees
8
2015
Scalable two-level preconditioning and deflation based on a piecewise constant subspace for (SIP)DG systems for diffusion problems. Zbl 1297.65036
van Slingerland, P.; Vuik, C.
2
2015
On preconditioning of incompressible non-Newtonian flow problems. Zbl 1349.76011
He, Xin; Neytcheva, Maya; Vuik, Cornelis
2
2015
On the convergence of inexact Newton methods. Zbl 1328.65120
Idema, Reijer; Lahaye, Domenico; Vuik, Cornelis
1
2015
Efficient preconditioners for PDE-constrained optimization problem with a multilevel sequentially semiseparable matrix structure. Zbl 1330.65168
Qiu, Yue; van Gijzen, Martin B.; van Wingerden, Jan-Willem; Verhaegen, Michel; Vuik, Cornelis
1
2015
Fast linear solver for diffusion problems with applications to pressure computation in layered domains. Zbl 1386.65111
van Slingerland, P.; Vuik, C.
6
2014
Superconvergent error estimates for position-dependent smoothness-increasing accuracy-conserving (SIAC) post-processing of discontinuous Galerkin solutions. Zbl 1300.65066
Ji, Liangyue; van Slingerland, Paulien; Ryan, Jennifer K.; Vuik, Kees
6
2014
A parallel linear solver exploiting the physical properties of the underlying mechanical problem. Zbl 1396.65155
Lingen, F. J.; Bonnier, P. G.; Brinkgreve, R. B. J.; van Gijzen, M. B.; Vuik, C.
1
2014
On the convergence of shifted Laplace preconditioner combined with multilevel deflation. Zbl 1313.65293
Sheikh, A. H.; Lahaye, D.; Vuik, C.
26
2013
On the use of rigid body modes in the deflated preconditioned conjugate gradient method. Zbl 1372.74017
Jönsthövel, T. B.; Van Gijzen, M. B.; Vuik, C.; Scarpas, A.
5
2013
Various flow equations to model the new soil improvement method biogrout. Zbl 1451.74168
Van Wijngaarden, W. K.; Vermolen, F. J.; Van Meurs, G. A. M.; Vuik, C.
2
2013
Design of temporal basis functions for time domain integral equation methods with predefined accuracy and smoothness. Zbl 1370.78172
van ’t Wout, Elwin; van der Heul, Duncan R.; van der Ven, Harmen; Vuik, Cornelis
2
2013
The influence of the exact evaluation of radiation fields in finite precision arithmetic on the stability of the time domain integral equation method. Zbl 1370.78173
van ’t Wout, Elwin; van der Heul, Duncan R.; van der Ven, Harmen; Vuik, Cornelis
1
2013
Comparison of the deflated preconditioned conjugate gradient method and algebraic multigrid for composite materials. Zbl 1398.74345
Jönsthövel, T. B.; van Gijzen, M. B.; MacLachlan, S.; Vuik, C.; Scarpas, A.
3
2012
Position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering for improving discontinuous Galerkin solutions. Zbl 1368.65197
van Slingerland, Paulien; Ryan, Jennifer K.; Vuik, C.
20
2011
On iterative methods for the incompressible Stokes problem. Zbl 1429.76073
ur Rehman, M.; Geenen, T.; Vuik, C.; Segal, G.; MacLachlan, S. P.
8
2011
GPU implementation of a Helmholtz Krylov solver preconditioned by a shifted Laplace multigrid method. Zbl 1228.65208
Knibbe, H.; Oosterlee, C. W.; Vuik, C.
7
2011
A comparison of two-level preconditioners based on multigrid and deflation. Zbl 1205.65143
Tang, J. M.; MacLachlan, S. P.; Nabben, R.; Vuik, C.
13
2010
Preconditioners for incompressible Navier-Stokes solvers. Zbl 1240.65098
Segal, A.; ur Rehman, M.; Vuik, C.
10
2010
Shifted-Laplacian preconditioners for heterogeneous Helmholtz problems. Zbl 1190.65183
Oosterlee, C. W.; Vuik, C.; Mulder, W. A.; Plessix, R.-E.
9
2010
Modelling the new soil improvement method biogrout: extension to 3D. Zbl 1402.92466
van Wijngaarden, W. K.; Vermolen, F. J.; van Meurs, G. A. M.; Vuik, C.
2
2010
A cut-cell finite-element method for a discontinuous switch model for wound closure. Zbl 1402.92135
Zemskov, S. V.; Vermolen, F. J.; Javierre, E.; Vuik, C.
1
2010
Application of the shifted-Laplace preconditioner for iterative solution of a higher order finite element discretisation of the vector wave equation: first experiences. Zbl 1203.78044
Hooghiemstra, P. B.; van der Heul, D. R.; Vuik, C.
1
2010
Advanced computational methods in science and engineering. Zbl 1181.68007
Koren, Barry; Vuik, Kees
1
2010
On projected Newton-Krylov solvers for instationary laminar reacting gas flows. Zbl 1329.76304
van Veldhuizen, S.; Vuik, C.; Kleijn, C. R.
1
2010
Comparison of two-level preconditioners derived from deflation, domain decomposition and multigrid methods. Zbl 1203.65073
Tang, J. M.; Nabben, R.; Vuik, C.; Erlangga, Y. A.
38
2009
A mathematical analysis of physiological and morphological aspects of wound closure. Zbl 1232.92054
Javierre, E.; Vermolen, F. J.; Vuik, C.; van der Zwaag, S.
11
2009
SIMPLE-type preconditioners for the Oseen problem. Zbl 1171.76033
Ur Rehman, M.; Vuik, C.; Segal, G.
9
2009
Fast and robust solvers for pressure-correction in bubbly flow problems. Zbl 1317.76062
MacLachlan, S. P.; Tang, J. M.; Vuik, C.
16
2008
A comparison of preconditioners for incompressible Navier-Stokes solvers. Zbl 1262.76083
ur Rehman, M.; Vuik, C.; Segal, G.
13
2008
A comparison of abstract versions of deflation, balancing and additive coarse grid correction preconditioners. Zbl 1212.65121
Nabben, R.; Vuik, C.
6
2008
Preconditioners for the steady incompressible Navier-Stokes problem. Zbl 1229.76032
ur Rehman, M.; Vuik, C.; Segal, G.
4
2008
Numerical modelling of epidermal wound healing. Zbl 1153.92017
Javierre, E.; Vermolen, F. J.; Vuik, C.; van der Zwaag, S.
3
2008
Comparison of ODE methods for laminar reacting gas flow simulations. Zbl 1159.76030
van Veldhuizen, S.; Vuik, C.; Kleijn, C. R.
2
2008
Spectral analysis of the discrete Helmholtz operator preconditioned with a shifted Laplacian. Zbl 1155.65088
van Gijzen, M. B.; Erlangga, Y. A.; Vuik, C.
50
2007
A parallel multigrid-based preconditioner for the 3D heterogeneous high-frequency Helmholtz equation. Zbl 1120.65127
Riyanti, C. D.; Kononov, A.; Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W.; Plessix, R.-E.; Mulder, W. A.
27
2007
Efficient deflation methods applied to 3-D bubbly flow problems. Zbl 1391.76580
Tang, J. M.; Vuik, C.
8
2007
On deflation and singular symmetric positive semi-definite matrices. Zbl 1125.65028
Tang, J. M.; Vuik, C.
8
2007
New variants of deflation techniques for pressure correction in bubbly flow problems. Zbl 1235.76043
Tang, J. M.; Vuik, C.
4
2007
Core-annular flow through a horizontal pipe: hydrodynamic counterbalancing of buoyancy force on core. Zbl 1182.76571
Ooms, G.; Vuik, C.; Poesio, P.
3
2007
A level set method for three dimensional vector Stefan problems: dissolution of stoichiometric particles in multi-component alloys. Zbl 1125.80002
Javierre, E.; Vuik, C.; Vermolen, F. J.; Segal, A.
2
2007
A novel multigrid based preconditioner for heterogeneous Helmholtz problems. Zbl 1095.65109
Erlangga, Y. A.; Oosterlee, C. W.; Vuik, C.
109
2006
Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation. Zbl 1094.65041
Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W.
36
2006
A comparison of numerical models for one-dimensional Stefan problems. Zbl 1092.65072
Javierre, E.; Vuik, C.; Vermolen, F. J.; van der Zwaag, S.
23
2006
A comparison of deflation and the balancing preconditioner. Zbl 1105.65049
Nabben, R.; Vuik, C.
17
2006
Numerical methods for reacting gas flow simulations. Zbl 1155.76417
van Veldhuizen, S.; Vuik, C.; Kleijn, C. R.
3
2006
A mass-conserving level-set method for modelling of multi-phase flows. Zbl 1065.76160
van der Pijl, S. P.; Segal, A.; Vuik, C.; Wesseling, P.
67
2005
Review on some Stefan problems for particle dissolution in solid metallic alloys. Zbl 1089.80002
Vermolen, F. J.; Vuik, C.; Javierre, E.; van der Zwaag, S.
2
2005
Solution of vector Stefan problems with cross-diffusion. Zbl 1107.80010
Vermolen, F. J.; Vuik, C.
2
2005
The deflation accelerated Schwarz method for CFD. Zbl 1129.76347
Verkaik, J.; Vuik, C.; Paarhuis, B. D.; Twerda, A.
1
2005
On a class of preconditioners for solving the Helmholtz equation. Zbl 1051.65101
Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W.
92
2004
A comparison of deflation and coarse grid correction applied to porous media flow. Zbl 1146.76658
Nabben, R.; Vuik, C.
22
2004
Eigenvalue analysis of the SIMPLE preconditioning for incompressible flow. Zbl 1164.65398
Li, Chun Guang; Vuik, C.
10
2004
Deflation in preconditional conjugate gradient methods for finite element problems. Zbl 1069.65129
Vermolen, Fred; Vuik, Kees; Segal, Guus
5
2004
Modeling of multi-phase flows with a level-set method. Zbl 1216.76057
van der Pijl, Sander P.; Segal, A.; Vuik, C.
1
2004
A conservative pressure-correction method for flow at all speeds. Zbl 1046.76033
van der Heul, D. R.; Vuik, C.; Wesseling, P.
48
2003
On a class of preconditioners for solving the discrete Helmholtz equation. Zbl 1049.65111
Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W.
2
2003
A conservative pressure-correction method for the Euler and ideal MHD equations at all speeds. Zbl 1042.76046
van der Heul, D. R.; Vuik, C.; Wesseling, P.
9
2002
A comparison of various deflation vectors applied to elliptic problems with discontinuous coefficients. Zbl 1143.65396
Vuik, C.; Segal, A.; El Yaakoubi, L.; Dufour, E.
2
2002
On the construction of deflation-based preconditioners. Zbl 0997.65072
Frank, J.; Vuik, C.
29
2001
The construction of projection vectors for a deflated ICCG method applied to problems with extreme contrasts in the coefficients. Zbl 1043.76039
Vuik, C.; Segal, A.; Meijerink, J. A.; Wijma, G. T.
10
2001
Stability analysis of segregated solution methods for compressible flow. Zbl 1017.76065
van der Heul, D. R.; Vuik, C.; Wesseling, P.
8
2001
A parallel block-preconditioned GCR method for incompressible flow problems. Zbl 1032.68811
Vuik, C.; Frank, J.; Segal, A.
2
2001
A staggered scheme for hyperbolic conservation laws applied to computation of flow with cavitation. Zbl 1064.76594
van der Heul, D. R.; Vuik, C.; Wesseling, P.
1
2001
The Krylov accelerated SIMPLE(R) method for flow problems in industrial furnaces. Zbl 0960.76054
Vuik, C.; Saghir, A.; Boerstoel, G. P.
18
2000
A mathematical model for the dissolution of particlesin multi-component alloys. Zbl 0974.65082
Vermolen, F. J.; Vuik, C.
4
2000
A conserving discretization for a Stefan problem with an interface reaction at the free boundary. Zbl 1060.35535
Vuik, C.; Segal, A.; Vermolen, F. J.
4
2000
Branch switching techniques for bifurcation in soil deformation. Zbl 0967.74042
van der Veen, Hilda; Vuik, Kees; de Borst, René
3
2000
Fast pressure calculation for 2D and 3D time dependent incompressible flow. Zbl 1090.76520
van Kan, J.; Vuik, C.; Wesseling, P.
2
2000
An efficient preconditioned CG method for the solution of a class of layered problems with extreme contrasts in the coefficients. Zbl 0945.76048
Vuik, C.; Segal, A.; Meijerink, J. A.
37
1999
A staggered scheme for hyperbolic conservation laws applied to unsteady sheet cavitation. Zbl 1067.76583
van der Heul, D. R.; Vuik, C.; Wesseling, P.
3
1999
Parallel implementation of a multiblock method with approximate subdomain solution. Zbl 0928.65046
Frank, J.; Vuik, C.
2
1999
An eigenvalue analysis of nonassociated plasticity. Zbl 0948.74007
Van der Veen, H.; Vuik, C.; De Borst, R.
1
1999
A vector-valued Stefan problem from aluminium industry. Zbl 1042.80004
Vermolen, Fred; Vuik, Kees
1
1999
A conserving discretization for the free boundary in a two-dimensional Stefan problem. Zbl 0931.65100
Segal, Guus; Vuik, Kees; Vermolen, Fred
14
1998
Domain decomposition for the incompressible Navier-Stokes equations: Solving subdomain problems accurately and inaccurately. Zbl 0915.76063
Brakkee, E.; Vuik, C.; Wesseling, P.
6
1998
A numerical method to compute the dissolution of second phases in ternary alloys. Zbl 0932.80004
Vermolen, Fred; Vuik, Kees
3
1998
How fast the Laplace equation was solved in 1995. Zbl 0891.65112
Botta, E. F. F.; Dekker, K.; Notay, Y.; van der Ploeg, A.; Vuik, C.; Wubs, F. W.; de Zeeuw, P. M.
6
1997
Fast iterative solvers for the discretized incompressible Navier-Stokes equations. Zbl 0863.76061
Vuik, C.
9
1996
A preconditioned Krylov subspace method for the solution of least squares problems in inverse scattering. Zbl 0857.65044
Vuik, Kees; Sevink, Agur G. J.; Herman, Gérard C.
1
1996
New insights in GMRES-like methods with variable preconditioners. Zbl 0844.65021
Vuik, C.
10
1995
...and 14 more Documents
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Cited by 1,288 Authors

59 Vuik, Cornelis
14 Ryan, Jennifer K.
13 Vermolen, Fred J.
11 Van Gijzen, Martin Bastiaan
9 MacLachlan, Scott P.
8 Nabben, Reinhard
8 Oosterlee, Cornelis Willebrordus
7 Graham, Ivan G.
7 Nataf, Frédéric
7 Spence, Euan A.
7 Vanroose, Wim
7 Wu, Tingting
6 Erlangga, Yogi A.
6 Gander, Martin Jakob
6 Javierre, E.
6 Quarteroni, Alfio M.
6 Saad, Yousef
6 Toivanen, Jari
5 Chen, Zhongying
5 Deparis, Simone
5 Dick, Erik
5 Gratton, Serge
5 Hachem, Elie
5 Latché, Jean-Claude
5 Segal, Guus
5 Sleijpen, Gerard L. G.
5 Sussman, Mark
5 Vasseur, Xavier
4 Bücker, H. Martin
4 Cools, Siegfried
4 Dautov, Rafail Z.
4 Dimarco, Giacomo
4 Dolean, Victorita
4 Du, Kui
4 Elman, Howard C.
4 García Ramos, Luis
4 Giraud, Luc
4 Heikkola, Erkki
4 Herbin, Raphaèle
4 Huang, Ting-Zhu
4 Langou, Julien
4 Liang, Zhaozheng
4 Loubère, Raphaël
4 Manzoni, Andrea
4 Möller, Matthias
4 Morgan, Ronald B.
4 Pennanen, Anssi
4 Scheichl, Robert
4 Tang, Jok M.
4 Tanguy, Sébastien
4 Vierendeels, Jan
4 Xu, Xuejun
4 Zhang, Guofeng
4 Zijlema, Marcel
3 Airaksinen, Tuomas
3 Aksoylu, Burak
3 Aubry, Romain
3 Baumann, Manuel
3 Bischof, Christian H.
3 Boersma, Bendiks Jan
3 Boudouvis, Andreas G.
3 Caboussat, Alexandre
3 Chen, Jinhai
3 Cheng, Dongsheng
3 Clain, Stéphane Louis
3 Clemens, Markus
3 Cocquet, Pierre-Henri
3 Dal Santo, Niccolò
3 Dastour, Hatef
3 Denner, Fabian
3 Egidi, Nadaniela
3 Gallouët, Thierry
3 Gravvanis, George A.
3 Grigori, Laura
3 Gudi, Thirupathi
3 Haber, Eldad
3 Herrmann, Marcus
3 Hinz, Jochen
3 Hussaini, M. Yousuff
3 Ito, Kazufumi
3 Ji, Liangyue
3 Kadioglu, Samet Y.
3 Kassels, C. G. M.
3 Kehl, René
3 Klaij, Christiaan M.
3 Klawonn, Axel
3 Kuhn, Martin
3 Lahaye, Domenico
3 Lapin, Aleksandr Vasil’evich
3 Li, Houbiao
3 Li, Liang
3 Li, Xiaozhou
3 Liao, Wenyuan
3 Löhner, Rainald
3 Majumder, Papri
3 Maponi, Pierluigi
3 Mirzaee, Hanieh
3 Mirzargar, Mahsa
3 Mönkölä, Sanna
3 Mut, Fernando
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Cited in 121 Serials

133 Journal of Computational Physics
60 Journal of Computational and Applied Mathematics
42 SIAM Journal on Scientific Computing
35 Computers and Fluids
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22 Computers & Mathematics with Applications
22 International Journal for Numerical Methods in Fluids
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15 International Journal for Numerical Methods in Engineering
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6 Mathematics of Computation
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6 SIAM Journal on Matrix Analysis and Applications
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5 International Journal of Numerical Methods for Heat & Fluid Flow
5 Archives of Computational Methods in Engineering
4 International Journal of Heat and Mass Transfer
4 SIAM Journal on Numerical Analysis
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4 Communications in Numerical Methods in Engineering
4 Computational and Applied Mathematics
4 ETNA. Electronic Transactions on Numerical Analysis
4 Computing and Visualization in Science
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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3 Lobachevskii Journal of Mathematics
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3 Acta Mechanica Sinica
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2 East Asian Journal on Applied Mathematics
1 Modern Physics Letters B
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1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
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1 Calculus of Variations and Partial Differential Equations
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