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ORCIDCornelis Vuik
Kees Vuik
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- affiliation: Delft University of Technology, Netherlands
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2020 – today
- 2024
[j62]Ghodrat Ebadi
, Somayeh Seifollahzadeh, Cornelis Vuik:
New iterative methods for solving generalized absolute value equations. Comput. Appl. Math. 43(5): 313 (2024)- [j61]Kewang Chen, Cornelis Vuik:
Non-stationary Anderson acceleration with optimized damping. J. Comput. Appl. Math. 451: 116077 (2024) - [j60]Jinqiang Chen, Vandana Dwarka, Cornelis Vuik:
A matrix-free parallel two-level deflation preconditioner for two-dimensional heterogeneous Helmholtz problems. J. Comput. Phys. 514: 113264 (2024) - [i15]Erik Sieburgh, Alexander Heinlein, Vandana Dwarka, Cornelis Vuik:
Coarse Spaces Based on Higher-Order Interpolation for Schwarz Preconditioners for Helmholtz Problems. CoRR abs/2408.03571 (2024) - 2023
- [j59]Kewang Chen, Cornelis Vuik:
Asymptotic convergence analysis and influence of initial guesses on composite Anderson acceleration. Adv. Comput. Math. 49(6): 94 (2023) - [j58]Vijai Kumar Suriyababu, Cornelis Vuik, Matthias Möller:
Towards a High Quality Shrink Wrap Mesh Generation Algorithm Using Mathematical Morphology. Comput. Aided Des. 164: 103608 (2023) - [j57]Ye Ji, Kewang Chen, Matthias Möller, Cornelis Vuik:
On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration. Comput. Aided Geom. Des. 102: 102191 (2023) - [j56]Jérémie Vandenplas, Buu-Van Nguyen, Cornelis Vuik:
Deflation techniques applied on mixed model equations. J. Comput. Appl. Math. 426: 115095 (2023) - [j55]Seryas Vakili, Ghodrat Ebadi, Cornelis Vuik:
A parameterized extended shift-splitting preconditioner for nonsymmetric saddle point problems. Numer. Linear Algebra Appl. 30(4) (2023) - [i14]Reijer Idema, Cornelis Vuik:
A comparison of Krylov methods for Shifted Skew-Symmetric Systems. CoRR abs/2304.04092 (2023) - [i13]Jinqiang Chen, Vandana Dwarka, Cornelis Vuik:
A matrix-free parallel solution method for the three-dimensional heterogeneous Helmholtz equation. CoRR abs/2308.06085 (2023) - [i12]Jinqiang Chen, Vandana Dwarka, Cornelis Vuik:
A matrix-free parallel two-level deflation preconditioner for the two-dimensional Helmholtz problems. CoRR abs/2308.06152 (2023) - [i11]Vandana Dwarka, Cornelis Vuik:
Stand-alone Multigrid for Helmholtz Revisited: Towards Convergence Using Standard Components. CoRR abs/2308.13476 (2023) - [i10]Kewang Chen, Ye Ji, Matthias Möller, Cornelis Vuik:
A short report on preconditioned Anderson acceleration method. CoRR abs/2310.04034 (2023) - 2022
- [j54]Vandana Dwarka, Cornelis Vuik:
Scalable multi-level deflation preconditioning for highly indefinite time-harmonic waves. J. Comput. Phys. 469: 111327 (2022) - [i9]Kewang Chen, Cornelis Vuik:
Non-stationary Anderson acceleration with optimized damping. CoRR abs/2202.05295 (2022) - [i8]Kewang Chen, Cornelis Vuik:
Composite Anderson acceleration method with dynamic window-sizes and optimized damping. CoRR abs/2203.14627 (2022) - 2021
- [j53]Baljinnyam Sereeter, Anne S. Markensteijn, Marieke E. Kootte, Cornelis Vuik:
A novel linearized power flow approach for transmission and distribution networks. J. Comput. Appl. Math. 394: 113572 (2021) - [j52]Vandana Dwarka, Cornelis Vuik:
Pollution and accuracy of solutions of the Helmholtz equation: A novel perspective from the eigenvalues. J. Comput. Appl. Math. 395: 113549 (2021) - [j51]Vijai Kumar Suriyababu, Cornelis Vuik:
A Simple and Fast Hole Detection Algorithm for Triangulated Surfaces. J. Comput. Inf. Sci. Eng. 21(4) (2021) - [j50]Yue Qiu, Martin B. van Gijzen, Jan-Willem van Wingerden, Michel Verhaegen, Cornelis Vuik:
Preconditioning Navier-Stokes control using multilevel sequentially semiseparable matrix computations. Numer. Linear Algebra Appl. 28(2) (2021) - [e1]Fred J. Vermolen, Cornelis Vuik:
Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30 - October 4. Lecture Notes in Computational Science and Engineering 139, Springer 2021, ISBN 978-3-030-55873-4 [contents] - [i7]Niall Bootland, Vandana Dwarka, Pierre Jolivet, Victorita Dolean, Cornelis Vuik:
Inexact subdomain solves using deflated GMRES for Helmholtz problems. CoRR abs/2103.17081 (2021) - [i6]Luyu Wang, Cornelis Vuik, Hadi Hajibeygi:
A preconditioned mixed-FE scheme with stabilized Lagrange multiplier for frictional contact mechanics of crossing fractures in porous media. CoRR abs/2105.13179 (2021) - [i5]Roel Tielen, Matthias Möller, Cornelis Vuik:
Combining p-multigrid and multigrid reduced in time methods to obtain a scalable solver for Isogeometric Analysis. CoRR abs/2107.05337 (2021) - 2020
- [j49]Alexander A. Lukyanov, Cornelis Vuik:
A stable SPH discretization of the elliptic operator with heterogeneous coefficients. J. Comput. Appl. Math. 374: 112745 (2020) - [j48]Xin He, Cornelis Vuik:
Efficient and robust Schur complement approximations in the augmented Lagrangian preconditioner for the incompressible laminar flows. J. Comput. Phys. 408: 109286 (2020) - [j47]Mousa Hosseinimehr, Cornelis Vuik, Hadi Hajibeygi:
Adaptive dynamic multilevel simulation of fractured geothermal reservoirs. J. Comput. Phys. X 7: 100061 (2020) - [j46]Vandana Dwarka, Cornelis Vuik:
Scalable Convergence Using Two-Level Deflation Preconditioning for the Helmholtz Equation. SIAM J. Sci. Comput. 42(2): A901-A928 (2020) - [c22]Marieke E. Kootte, Baljinnyam Sereeter, Cornelis Vuik:
Solving the Steady-State Power Flow Problem on Integrated Transmission-Distribution Networks: A Comparison of Numerical Methods. ISGT-Europe 2020: 899-903 - [c21]Anne S. Markensteijn, Kees Vuik:
Convergence of Newton's Method for Steady-State Load Flow Problems in Multi-Carrier Energy Systems. ISGT-Europe 2020: 1084-1088 - [i4]Jochen Hinz, Andrzej Jaeschke, Matthias Möller, Cornelis Vuik:
The Role of PDE-Based Parameterization Techniques in Gradient-Based IGA Shape Optimization Applications. CoRR abs/2001.10921 (2020) - [i3]R. Euser, Cornelis Vuik:
A non-reflective boundary condition for LBM based on the assumption of non-equilibrium symmetry. CoRR abs/2005.08674 (2020) - [i2]Vandana Dwarka, Roel Tielen, Matthias Möller, Kees Vuik:
Towards Accuracy and Scalability: Combining Isogeometric Analysis with Deflation to Obtain Scalable Convergence for the Helmholtz Equation. CoRR abs/2010.10232 (2020)
2010 – 2019
- 2019
- [j45]Baljinnyam Sereeter, Cornelis Vuik, Cees Witteveen:
On a comparison of Newton-Raphson solvers for power flow problems. J. Comput. Appl. Math. 360: 157-169 (2019) - [j44]Xiaozhou Li, Jennifer K. Ryan, Robert M. Kirby, Kees Vuik:
Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Discontinuous Galerkin Solutions over Nonuniform Meshes: Superconvergence and Optimal Accuracy. J. Sci. Comput. 81(3): 1150-1180 (2019) - [j43]Matthias Möller, Cornelis Vuik:
A conceptual framework for quantum accelerated automated design optimization. Microprocess. Microsystems 66: 67-71 (2019) - [c20]R. Euser, Cornelis Vuik:
A Non-reflective Boundary Condition for LBM Based on the Assumption of Non-equilibrium Symmetry. ENUMATH 2019: 399-407 - [c19]Marieke E. Kootte, Cornelis Vuik:
The Master-Slave Splitting Extended to Power Flow Problems on Integrated Networks with an Unbalanced Distribution Network. ENUMATH 2019: 625-632 - [c18]Anne S. Markensteijn, J. E. Romate, Cornelis Vuik:
Scaling of the Steady-State Load Flow Equations for Multi-Carrier Energy Systems. ENUMATH 2019: 713-721 - [c17]Roel Tielen, Matthias Möller, Kees Vuik:
A Direct Projection to Low-Order Level for p-Multigrid Methods in Isogeometric Analysis. ENUMATH 2019: 1001-1009 - [c16]Mohamed el Abbassi, Domenico Lahaye, Kees Vuik:
Modelling Turbulent Combustion Coupled with Conjugate Heat Transfer in OpenFOAM. ENUMATH 2019: 1137-1145 - 2018
- [j42]Jochen Hinz, Matthias Möller, Cornelis Vuik:
Elliptic grid generation techniques in the framework of isogeometric analysis applications. Comput. Aided Geom. Des. 65: 48-75 (2018) - [j41]Valery A. Gaiko, Cornelis Vuik:
Global Dynamics in the Leslie-Gower Model with the Allee Effect. Int. J. Bifurc. Chaos 28(12): 1850151:1-1850151:10 (2018) - [j40]Gabriela Berenice Diaz Cortes, Cornelis Vuik, Jan Dirk Jansen:
On POD-based Deflation Vectors for DPCG applied to porous media problems. J. Comput. Appl. Math. 330: 193-213 (2018) - [j39]Tahoura Hosseinimehr, Matteo Cusini, Cornelis Vuik, Hadi Hajibeygi:
Algebraic dynamic multilevel method for embedded discrete fracture model (F-ADM). J. Comput. Phys. 373: 324-345 (2018) - [j38]Xin He, Cornelis Vuik, Christiaan M. Klaij:
Combining the Augmented Lagrangian Preconditioner with the Simple Schur Complement Approximation. SIAM J. Sci. Comput. 40(3) (2018) - 2017
- [j37]Mohamed Hassanine Aissa, Tom Verstraete, Cornelis Vuik:
Toward a GPU-aware comparison of explicit and implicit CFD simulations on structured meshes. Comput. Math. Appl. 74(1): 201-217 (2017) - [j36]Matthias Möller, Cornelis Vuik:
On the impact of quantum computing technology on future developments in high-performance scientific computing. Ethics Inf. Technol. 19(4): 253-269 (2017) - [j35]Xin He, Cornelis Vuik, Christiaan M. Klaij:
Block-preconditioners for the incompressible Navier-Stokes equations discretized by a finite volume method. J. Num. Math. 25(2): 89 (2017) - [i1]Matthias Möller, Cornelis Vuik:
On the impact of quantum computing technology on future developments in high-performance scientific computing. CoRR abs/1705.07413 (2017) - 2016
- [j34]Xiaozhou Li, Jennifer K. Ryan, Robert Michael Kirby, Cornelis Vuik:
Smoothness-Increasing Accuracy-Conserving (SIAC) filters for derivative approximations of discontinuous Galerkin (DG) solutions over nonuniform meshes and near boundaries. J. Comput. Appl. Math. 294: 275-296 (2016) - [j33]Elwin van't Wout, Duncan R. van der Heul, Harmen van der Ven, Cornelis Vuik:
Stability analysis of the marching-on-in-time boundary element method for electromagnetics. J. Comput. Appl. Math. 294: 358-371 (2016) - [j32]Joost H. van der Linden, Tom B. Jönsthövel, Alexander A. Lukyanov, Cornelis Vuik:
The parallel subdomain-levelset deflation method in reservoir simulation. J. Comput. Phys. 304: 340-358 (2016) - [j31]Abdul Hanan Sheikh, Domenico Lahaye, L. Garcia Ramos, Reinhard Nabben, Cornelis Vuik:
Accelerating the shifted Laplace preconditioner for the Helmholtz equation by multilevel deflation. J. Comput. Phys. 322: 473-490 (2016) - [j30]G. T. Oud, Duncan R. van der Heul, Cornelis Vuik, R. A. W. M. Henkes:
A fully conservative mimetic discretization of the Navier-Stokes equations in cylindrical coordinates with associated singularity treatment. J. Comput. Phys. 325: 314-337 (2016) - [c15]Mohamed Hassanine Aissa, Lasse Müller, Tom Verstraete, Cornelis Vuik:
Acceleration of Turbomachinery Steady Simulations on GPU. Euro-Par Workshops 2016: 814-825 - 2015
- [j29]Femke van Wageningen-Kessels, Hans van Lint, Kees Vuik, Serge P. Hoogendoorn:
Genealogy of traffic flow models. EURO J. Transp. Logist. 4(4): 445-473 (2015) - [j28]Paulien van Slingerland, Cornelis Vuik:
Scalable two-level preconditioning and deflation based on a piecewise constant subspace for (SIP)DG systems for diffusion problems. J. Comput. Appl. Math. 275: 61-78 (2015) - [j27]Jennifer K. Ryan, Xiaozhou Li, Robert M. Kirby, Kees Vuik:
One-Sided Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering Over Uniform and Non-uniform Meshes. J. Sci. Comput. 64(3): 773-817 (2015) - 2014
- [j26]Liangyue Ji, Paulien van Slingerland, Jennifer K. Ryan, Kees Vuik:
Superconvergent error estimates for position-dependent smoothness-increasing accuracy-conserving (SIAC) post-processing of discontinuous Galerkin solutions. Math. Comput. 83(289): 2239-2262 (2014) - [c14]Martijn de Jong, George Papaeffhymiou, Domenico Lahaye, Kees Vuik, Lou van der Sluis:
Impact of correlated infeeds on risk-based power system security assessment. PSCC 2014: 1-7 - [c13]Rohit Gupta, Martin B. van Gijzen, Kees Vuik:
Multi-GPU/CPU deflated preconditioned conjugate gradient for bubbly flow solver. SpringSim (HPS) 2014: 14 - 2013
- [j25]D. den Ouden, A. Segal, Fred J. Vermolen, L. Zhao, Cornelis Vuik, J. Sietsma:
Application of the level-set method to a mixed-mode driven Stefan problem in 2 $$D$$ and 3 $$D$$. Computing 95(S1): 553-572 (2013) - [j24]Abdul Hanan Sheikh, Domenico Lahaye, Cornelis Vuik:
On the convergence of shifted Laplace preconditioner combined with multilevel deflation. Numer. Linear Algebra Appl. 20(4): 645-662 (2013) - [j23]T. B. Jönsthövel, Martin B. van Gijzen, Cornelis Vuik, A. Scarpas:
On the Use of Rigid Body Modes in the Deflated Preconditioned Conjugate Gradient Method. SIAM J. Sci. Comput. 35(1) (2013) - [c12]Reijer Idema, Domenico Lahaye, Cornelis Vuik:
On the Convergence of Inexact Newton Methods. ENUMATH 2013: 355-363 - [c11]Rohit Gupta, Martin Bastiaan van Gijzen, Cornelis Vuik:
3D Bubbly Flow Simulation on the GPU - Iterative Solution of a Linear System Using Sub-domain and Level-Set Deflation. PDP 2013: 359-366 - 2012
- [c10]Rohit Gupta, Martin B. van Gijzen, Cornelis Vuik:
Efficient Two-Level Preconditioned Conjugate Gradient Method on the GPU. VECPAR 2012: 36-49 - 2011
- [j22]H. Knibbe, Cornelis W. Oosterlee, Cornelis Vuik:
GPU implementation of a Helmholtz Krylov solver preconditioned by a shifted Laplace multigrid method. J. Comput. Appl. Math. 236(3): 281-293 (2011) - [j21]Paulien van Slingerland, Jennifer K. Ryan, Cornelis Vuik:
Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Improving Discontinuous Galerkin Solutions. SIAM J. Sci. Comput. 33(2): 802-825 (2011) - 2010
- [j20]S. van Veldhuizen, Cornelis Vuik, Chris R. Kleijn:
On projected Newton-Krylov solvers for instationary laminar reacting gas flows. J. Comput. Phys. 229(5): 1724-1738 (2010) - [j19]Jok Man Tang, Scott P. MacLachlan, Reinhard Nabben, Cornelis Vuik:
A Comparison of Two-Level Preconditioners Based on Multigrid and Deflation. SIAM J. Matrix Anal. Appl. 31(4): 1715-1739 (2010) - [c9]Elwin van't Wout, Martin B. van Gijzen, A. Ditzel, Auke van der Ploeg, Cornelis Vuik:
The Deflated Relaxed Incomplete Cholesky CG method for use in a real-time ship simulator. ICCS 2010: 249-257 - [c8]Ibrahim, Fred J. Vermolen, Cornelis Vuik:
Application of the numerical density-enthalpy method to the multi-phase flow through a porous medium. ICCS 2010: 781-790
2000 – 2009
- 2009
- [j18]Jok Man Tang, Reinhard Nabben, Cornelis Vuik, Yogi A. Erlangga:
Comparison of Two-Level Preconditioners Derived from Deflation, Domain Decomposition and Multigrid Methods. J. Sci. Comput. 39(3): 340-370 (2009) - [c7]Mehfooz ur Rehman, Cornelis Vuik, Guus Segal:
Block Preconditioners for the Incompressible Stokes Problem. LSSC 2009: 829-836 - 2008
- [j17]Scott P. MacLachlan, Jok Man Tang, Cornelis Vuik:
Fast and robust solvers for pressure-correction in bubbly flow problems. J. Comput. Phys. 227(23): 9742-9761 (2008) - [j16]Reinhard Nabben, Cornelis Vuik:
A comparison of abstract versions of deflation, balancing and additive coarse grid correction preconditioners. Numer. Linear Algebra Appl. 15(4): 355-372 (2008) - 2007
- [j15]Kees Oosterlee, Barry Koren, Kees Vuik:
Preface. J. Comput. Phys. 224(1): 1-2 (2007) - [j14]Etelvina Javierre, Cornelis Vuik, Fred J. Vermolen, A. Segal:
A level set method for three dimensional vector Stefan problems: Dissolution of stoichiometric particles in multi-component alloys. J. Comput. Phys. 224(1): 222-240 (2007) - [j13]C. D. Riyanti, A. Kononov, Yogi A. Erlangga, Cornelis Vuik, Cornelis W. Oosterlee, René-Edouard Plessix, Wim A. Mulder:
A parallel multigrid-based preconditioner for the 3D heterogeneous high-frequency Helmholtz equation. J. Comput. Phys. 224(1): 431-448 (2007) - [j12]Martin B. van Gijzen, Yogi A. Erlangga, Cornelis Vuik:
Spectral Analysis of the Discrete Helmholtz Operator Preconditioned with a Shifted Laplacian. SIAM J. Sci. Comput. 29(5): 1942-1958 (2007) - [c6]Jok Man Tang, Cornelis Vuik:
Acceleration of Preconditioned Krylov Solvers for Bubbly Flow Problems. International Conference on Computational Science (1) 2007: 874-881 - [c5]Jok Man Tang, Kees Vuik:
Acceleration of Preconditioned Krylov Solvers for Bubbly Flow Problems. PPAM 2007: 1323-1332 - 2006
- [j11]Yogi A. Erlangga, Cornelis W. Oosterlee, Cornelis Vuik:
A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems. SIAM J. Sci. Comput. 27(4): 1471-1492 (2006) - [j10]Reinhard Nabben, Cornelis Vuik:
A Comparison of Deflation and the Balancing Preconditioner. SIAM J. Sci. Comput. 27(5): 1742-1759 (2006) - [c4]S. van Veldhuizen, Cornelis Vuik, Chris R. Kleijn:
Numerical Methods for Reacting Gas Flow Simulations. International Conference on Computational Science (2) 2006: 10-17 - 2005
- [c3]J. Verkaik, Cornelis Vuik, B. D. Paarhuis, A. Twerda:
The Deflation Accelerated Schwarz Method for CFD. International Conference on Computational Science (1) 2005: 868-875 - 2004
- [j9]Chunguang Li, Cornelis Vuik:
Eigenvalue analysis of the SIMPLE preconditioning for incompressible flow. Numer. Linear Algebra Appl. 11(5-6): 511-523 (2004) - [j8]Reinhard Nabben, Cornelis Vuik:
A Comparison of Deflation and Coarse Grid Correction Applied to Porous Media Flow. SIAM J. Numer. Anal. 42(4): 1631-1647 (2004) - 2001
- [j7]Cornelis Vuik, Jason Frank:
Coarse grid acceleration of a parallel block preconditioner. Future Gener. Comput. Syst. 17(8): 933-940 (2001) - [j6]Cornelis Vuik, Jason Frank, A. Segal:
A parallel block-preconditioned GCR method for incompressible flow problems. Future Gener. Comput. Syst. 18(1): 31-40 (2001) - [j5]Jason Frank, Cornelis Vuik:
On the Construction of Deflation-Based Preconditioners. SIAM J. Sci. Comput. 23(2): 442-462 (2001) - 2000
- [j4]J. van Kan, Cornelis Vuik, P. Wesseling:
Fast pressure calculation for 2D and 3D time dependent incompressible flow. Numer. Linear Algebra Appl. 7(6): 429-447 (2000) - [c2]Cornelis Vuik, Jason Frank:
A Parallel Block Preconditioner Accelerated by Coarse Grid Correction. HPCN Europe 2000: 99-108
1990 – 1999
- 1999
- [c1]Cornelis Vuik, Jason Frank:
A Parallel Implementation of the Block Preconditioned GCR Method. HPCN Europe 1999: 1052-1060 - 1998
- [j3]Cornelis Vuik, R. R. P. van Nooyen, P. Wesseling:
Parallelism in ILU-preconditioned GMRES. Parallel Comput. 24(14): 1927-1946 (1998) - 1995
- [j2]S. Zeng, Cornelis Vuik, Pieter Wesseling:
Numerical solution of the incompressible Navier-Stokes equations by Krylov subspace and multigrid methods. Adv. Comput. Math. 4(1): 27-49 (1995) - 1994
- [j1]Henk A. van der Vorst, Cornelis Vuik:
GMRESR: a family of nested GMRES methods. Numer. Linear Algebra Appl. 1(4): 369-386 (1994)
Coauthor Index
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