Cornelis Vuik

Orcid: 0000-0002-5988-9153

Affiliations:
  • Delft University of Technology, Netherlands


According to our database1, Cornelis Vuik authored at least 95 papers between 1994 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
New iterative methods for solving generalized absolute value equations.
Comput. Appl. Math., July, 2024

A matrix-free parallel two-level deflation preconditioner for two-dimensional heterogeneous Helmholtz problems.
J. Comput. Phys., 2024

Non-stationary Anderson acceleration with optimized damping.
J. Comput. Appl. Math., 2024

Coarse Spaces Based on Higher-Order Interpolation for Schwarz Preconditioners for Helmholtz Problems.
CoRR, 2024

2023
Asymptotic convergence analysis and influence of initial guesses on composite Anderson acceleration.
Adv. Comput. Math., December, 2023

Towards a High Quality Shrink Wrap Mesh Generation Algorithm Using Mathematical Morphology.
Comput. Aided Des., November, 2023

A parameterized extended shift-splitting preconditioner for nonsymmetric saddle point problems.
Numer. Linear Algebra Appl., August, 2023

Deflation techniques applied on mixed model equations.
J. Comput. Appl. Math., July, 2023

On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration.
Comput. Aided Geom. Des., May, 2023

A short report on preconditioned Anderson acceleration method.
CoRR, 2023

Stand-alone Multigrid for Helmholtz Revisited: Towards Convergence Using Standard Components.
CoRR, 2023

A matrix-free parallel two-level deflation preconditioner for the two-dimensional Helmholtz problems.
CoRR, 2023

A matrix-free parallel solution method for the three-dimensional heterogeneous Helmholtz equation.
CoRR, 2023

A comparison of Krylov methods for Shifted Skew-Symmetric Systems.
CoRR, 2023

2022
Scalable multi-level deflation preconditioning for highly indefinite time-harmonic waves.
J. Comput. Phys., 2022

Composite Anderson acceleration method with dynamic window-sizes and optimized damping.
CoRR, 2022

2021
Preconditioning Navier-Stokes control using multilevel sequentially semiseparable matrix computations.
Numer. Linear Algebra Appl., 2021

A Simple and Fast Hole Detection Algorithm for Triangulated Surfaces.
J. Comput. Inf. Sci. Eng., 2021

A novel linearized power flow approach for transmission and distribution networks.
J. Comput. Appl. Math., 2021

Pollution and accuracy of solutions of the Helmholtz equation: A novel perspective from the eigenvalues.
J. Comput. Appl. Math., 2021

Combining p-multigrid and multigrid reduced in time methods to obtain a scalable solver for Isogeometric Analysis.
CoRR, 2021

A preconditioned mixed-FE scheme with stabilized Lagrange multiplier for frictional contact mechanics of crossing fractures in porous media.
CoRR, 2021

Inexact subdomain solves using deflated GMRES for Helmholtz problems.
CoRR, 2021

2020
Scalable Convergence Using Two-Level Deflation Preconditioning for the Helmholtz Equation.
SIAM J. Sci. Comput., 2020

Adaptive dynamic multilevel simulation of fractured geothermal reservoirs.
J. Comput. Phys. X, 2020

Efficient and robust Schur complement approximations in the augmented Lagrangian preconditioner for the incompressible laminar flows.
J. Comput. Phys., 2020

A stable SPH discretization of the elliptic operator with heterogeneous coefficients.
J. Comput. Appl. Math., 2020

Towards Accuracy and Scalability: Combining Isogeometric Analysis with Deflation to Obtain Scalable Convergence for the Helmholtz Equation.
CoRR, 2020

The Role of PDE-Based Parameterization Techniques in Gradient-Based IGA Shape Optimization Applications.
CoRR, 2020

Convergence of Newton's Method for Steady-State Load Flow Problems in Multi-Carrier Energy Systems.
Proceedings of the IEEE PES Innovative Smart Grid Technologies Europe, 2020

Solving the Steady-State Power Flow Problem on Integrated Transmission-Distribution Networks: A Comparison of Numerical Methods.
Proceedings of the IEEE PES Innovative Smart Grid Technologies Europe, 2020

2019
A conceptual framework for quantum accelerated automated design optimization.
Microprocess. Microsystems, 2019

Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Discontinuous Galerkin Solutions over Nonuniform Meshes: Superconvergence and Optimal Accuracy.
J. Sci. Comput., 2019

On a comparison of Newton-Raphson solvers for power flow problems.
J. Comput. Appl. Math., 2019

A Direct Projection to Low-Order Level for p-Multigrid Methods in Isogeometric Analysis.
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

Scaling of the Steady-State Load Flow Equations for Multi-Carrier Energy Systems.
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

The Master-Slave Splitting Extended to Power Flow Problems on Integrated Networks with an Unbalanced Distribution Network.
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

A Non-reflective Boundary Condition for LBM Based on the Assumption of Non-equilibrium Symmetry.
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

Modelling Turbulent Combustion Coupled with Conjugate Heat Transfer in OpenFOAM.
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

2018
Combining the Augmented Lagrangian Preconditioner with the Simple Schur Complement Approximation.
SIAM J. Sci. Comput., 2018

Algebraic dynamic multilevel method for embedded discrete fracture model (F-ADM).
J. Comput. Phys., 2018

On POD-based Deflation Vectors for DPCG applied to porous media problems.
J. Comput. Appl. Math., 2018

Global Dynamics in the Leslie-Gower Model with the Allee Effect.
Int. J. Bifurc. Chaos, 2018

Elliptic grid generation techniques in the framework of isogeometric analysis applications.
Comput. Aided Geom. Des., 2018

2017
Block-preconditioners for the incompressible Navier-Stokes equations discretized by a finite volume method.
J. Num. Math., 2017

On the impact of quantum computing technology on future developments in high-performance scientific computing.
Ethics Inf. Technol., 2017

Toward a GPU-aware comparison of explicit and implicit CFD simulations on structured meshes.
Comput. Math. Appl., 2017

2016
Accelerating the shifted Laplace preconditioner for the Helmholtz equation by multilevel deflation.
J. Comput. Phys., 2016

A fully conservative mimetic discretization of the Navier-Stokes equations in cylindrical coordinates with associated singularity treatment.
J. Comput. Phys., 2016

The parallel subdomain-levelset deflation method in reservoir simulation.
J. Comput. Phys., 2016

Stability analysis of the marching-on-in-time boundary element method for electromagnetics.
J. Comput. Appl. Math., 2016

Smoothness-Increasing Accuracy-Conserving (SIAC) filters for derivative approximations of discontinuous Galerkin (DG) solutions over nonuniform meshes and near boundaries.
J. Comput. Appl. Math., 2016

Acceleration of Turbomachinery Steady Simulations on GPU.
Proceedings of the Euro-Par 2016: Parallel Processing Workshops, 2016

2015
One-Sided Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering Over Uniform and Non-uniform Meshes.
J. Sci. Comput., 2015

Scalable two-level preconditioning and deflation based on a piecewise constant subspace for (SIP)DG systems for diffusion problems.
J. Comput. Appl. Math., 2015

Genealogy of traffic flow models.
EURO J. Transp. Logist., 2015

2014
Superconvergent error estimates for position-dependent smoothness-increasing accuracy-conserving (SIAC) post-processing of discontinuous Galerkin solutions.
Math. Comput., 2014

Multi-GPU/CPU deflated preconditioned conjugate gradient for bubbly flow solver.
Proceedings of the 2014 Spring Simulation Multiconference, 2014

Impact of correlated infeeds on risk-based power system security assessment.
Proceedings of the 2014 Power Systems Computation Conference, 2014

2013
On the Use of Rigid Body Modes in the Deflated Preconditioned Conjugate Gradient Method.
SIAM J. Sci. Comput., 2013

On the convergence of shifted Laplace preconditioner combined with multilevel deflation.
Numer. Linear Algebra Appl., 2013

Application of the level-set method to a mixed-mode driven Stefan problem in 2 $$D$$ and 3 $$D$$.
Computing, 2013

3D Bubbly Flow Simulation on the GPU - Iterative Solution of a Linear System Using Sub-domain and Level-Set Deflation.
Proceedings of the 21st Euromicro International Conference on Parallel, 2013

On the Convergence of Inexact Newton Methods.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013

2012
Efficient Two-Level Preconditioned Conjugate Gradient Method on the GPU.
Proceedings of the High Performance Computing for Computational Science, 2012

2011
Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Improving Discontinuous Galerkin Solutions.
SIAM J. Sci. Comput., 2011

GPU implementation of a Helmholtz Krylov solver preconditioned by a shifted Laplace multigrid method.
J. Comput. Appl. Math., 2011

2010
A Comparison of Two-Level Preconditioners Based on Multigrid and Deflation.
SIAM J. Matrix Anal. Appl., 2010

The Deflated Relaxed Incomplete Cholesky CG method for use in a real-time ship simulator.
Proceedings of the International Conference on Computational Science, 2010

Application of the numerical density-enthalpy method to the multi-phase flow through a porous medium.
Proceedings of the International Conference on Computational Science, 2010

On projected Newton-Krylov solvers for instationary laminar reacting gas flows.
J. Comput. Phys., 2010

2009
Comparison of Two-Level Preconditioners Derived from Deflation, Domain Decomposition and Multigrid Methods.
J. Sci. Comput., 2009

Block Preconditioners for the Incompressible Stokes Problem.
Proceedings of the Large-Scale Scientific Computing, 7th International Conference, 2009

2008
A comparison of abstract versions of deflation, balancing and additive coarse grid correction preconditioners.
Numer. Linear Algebra Appl., 2008

Fast and robust solvers for pressure-correction in bubbly flow problems.
J. Comput. Phys., 2008

2007
Spectral Analysis of the Discrete Helmholtz Operator Preconditioned with a Shifted Laplacian.
SIAM J. Sci. Comput., 2007

A parallel multigrid-based preconditioner for the 3D heterogeneous high-frequency Helmholtz equation.
J. Comput. Phys., 2007

Preface.
J. Comput. Phys., 2007

A level set method for three dimensional vector Stefan problems: Dissolution of stoichiometric particles in multi-component alloys.
J. Comput. Phys., 2007

Acceleration of Preconditioned Krylov Solvers for Bubbly Flow Problems.
Proceedings of the Computational Science, 2007

2006
A Comparison of Deflation and the Balancing Preconditioner.
SIAM J. Sci. Comput., 2006

A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems.
SIAM J. Sci. Comput., 2006

Numerical Methods for Reacting Gas Flow Simulations.
Proceedings of the Computational Science, 2006

2005
The Deflation Accelerated Schwarz Method for CFD.
Proceedings of the Computational Science, 2005

2004
A Comparison of Deflation and Coarse Grid Correction Applied to Porous Media Flow.
SIAM J. Numer. Anal., 2004

Eigenvalue analysis of the SIMPLE preconditioning for incompressible flow.
Numer. Linear Algebra Appl., 2004

2001
On the Construction of Deflation-Based Preconditioners.
SIAM J. Sci. Comput., 2001

A parallel block-preconditioned GCR method for incompressible flow problems.
Future Gener. Comput. Syst., 2001

Coarse grid acceleration of a parallel block preconditioner.
Future Gener. Comput. Syst., 2001

2000
Fast pressure calculation for 2D and 3D time dependent incompressible flow.
Numer. Linear Algebra Appl., 2000

A Parallel Block Preconditioner Accelerated by Coarse Grid Correction.
Proceedings of the High-Performance Computing and Networking, 8th International Conference, 2000

1999
A Parallel Implementation of the Block Preconditioned GCR Method.
Proceedings of the High-Performance Computing and Networking, 7th International Conference, 1999

1998
Parallelism in ILU-preconditioned GMRES.
Parallel Comput., 1998

1995
Numerical solution of the incompressible Navier-Stokes equations by Krylov subspace and multigrid methods.
Adv. Comput. Math., 1995

1994
GMRESR: a family of nested GMRES methods.
Numer. Linear Algebra Appl., 1994


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