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ORCIDMarc I. Gerritsma
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2020 – today
- 2024
[j27]Yi Zhang
, Artur Palha, Marc Gerritsma, Qinghe Yao:
A MEEVC discretization for two-dimensional incompressible Navier-Stokes equations with general boundary conditions. J. Comput. Phys. 510: 113080 (2024)- [i10]Giorgio Tosti Balducci, Boyang Chen, Matthias Möller, Marc Gerritsma, Roeland de Breuker:
Predicting Open-Hole Laminates Failure Using Support Vector Machines With Classical and Quantum Kernels. CoRR abs/2405.02903 (2024) - [i9]Suyash Shrestha, Marc Gerritsma, Gonzalo Rubio, Steven Hulshoff, Esteban Ferrer:
Optimal solutions employing an algebraic Variational Multiscale approach Part I: Steady Linear Problems. CoRR abs/2409.05231 (2024) - 2023
- [i8]Yi Zhang, Artur Palha, Marc Gerritsma, Qinghe Yao:
A MEEVC discretization for two-dimensional incompressible Navier-Stokes equations with general boundary conditions. CoRR abs/2307.08166 (2023) - [i7]Suyash Shrestha, Joey Dekker, Marc Gerritsma, Steven Hulshoff, Ido Akkerman:
Construction and application of an algebraic dual basis and the Fine-Scale Greens' Function for computing projections and reconstructing unresolved scales. CoRR abs/2312.07205 (2023) - 2022
- [j26]Yi Zhang, Artur Palha, Marc Gerritsma, Leo G. Rebholz:
A mass-, kinetic energy- and helicity-conserving mimetic dual-field discretization for three-dimensional incompressible Navier-Stokes equations, part I: Periodic domains. J. Comput. Phys. 451: 110868 (2022) - [i6]V. Jain, Artur Palha, Marc Gerritsma:
Use of algebraic dual representations in domain decomposition methods for Darcy flow in 3D domain. CoRR abs/2202.10073 (2022) - 2021
- [j25]Varun Jain, Yi Zhang, Artur Palha, Marc Gerritsma:
Construction and application of algebraic dual polynomial representations for finite element methods on quadrilateral and hexahedral meshes. Comput. Math. Appl. 95: 101-142 (2021) - [j24]Yi Zhang, Joël Fisser, Marc Gerritsma:
A hybrid mimetic spectral element method for three-dimensional linear elasticity problems. J. Comput. Phys. 433: 110179 (2021) - [i5]Yi Zhang, Artur Palha, Marc Gerritsma, Leo G. Rebholz:
A mass-, kinetic energy- and helicity-conserving mimetic dual-field discretization for three-dimensional incompressible Navier-Stokes equations, part I: Periodic domains. CoRR abs/2104.13023 (2021) - [i4]V. Jain, Marc Gerritsma:
Estimation and numerical validation of inf-sup constant for bilinear form (p, div u). CoRR abs/2105.10673 (2021) - 2020
- [j23]Subhashree Mohapatra, Pravir Dutt, B. V. Rathish Kumar, Marc I. Gerritsma:
Non-conforming least-squares spectral element method for Stokes equations on non-smooth domains. J. Comput. Appl. Math. 372: 112696 (2020)
2010 – 2019
- 2019
- [j22]Yi Zhang, Varun Jain, Artur Palha, Marc Gerritsma:
The Discrete Steklov-Poincaré Operator Using Algebraic Dual Polynomials. Comput. Methods Appl. Math. 19(3): 645-661 (2019) - [j21]Gonzalo Gonzalez de Diego, Artur Palha, Marc I. Gerritsma:
Inclusion of no-slip boundary conditions in the MEEVC scheme. J. Comput. Phys. 378: 615-633 (2019) - [i3]Gonzalo de Diego, Marc Gerritsma, Artur Palha:
A conservative, physically compatible discretization for turbidity currents. CoRR abs/1910.05978 (2019) - 2018
- [j20]Keunsoo Park, Marc Gerritsma, Maria Fernandino:
C1 continuous h-adaptive least-squares spectral element method for phase-field models. Comput. Math. Appl. 75(5): 1582-1594 (2018) - [j19]D. Lee, Artur Palha, Marc I. Gerritsma:
Discrete conservation properties for shallow water flows using mixed mimetic spectral elements. J. Comput. Phys. 357: 282-304 (2018) - 2017
- [j18]Marc I. Gerritsma, Carsten Carstensen, Leszek F. Demkowicz, Jay Gopalakrishnan:
Minimum Residual and Least Squares Finite Element Methods II. Comput. Math. Appl. 74(8): 1922 (2017) - [j17]Keunsoo Park, Maria Fernandino, Carlos Alberto Dorao, Marc Gerritsma:
The least-squares spectral element method for phase-field models for isothermal fluid mixture. Comput. Math. Appl. 74(8): 1981-1998 (2017) - [j16]Artur Palha, Marc I. Gerritsma:
A mass, energy, enstrophy and vorticity conserving (MEEVC) mimetic spectral element discretization for the 2D incompressible Navier-Stokes equations. J. Comput. Phys. 328: 200-220 (2017) - [c6]Marc I. Gerritsma, Artur Palha:
Spectral Mimetic Least-Squares Method for Div-curl Systems. LSSC 2017: 103-110 - [c5]Artur Palha, Marc I. Gerritsma:
Spectral Mimetic Least-Squares Method for Curl-curl Systems. LSSC 2017: 119-127 - [c4]Keunsoo Park, Marc Gerritsma, Maria Fernandino:
Numerical Solution of Cahn-Hilliard System by Adaptive Least-Squares Spectral Element Method. LSSC 2017: 128-136 - 2016
- [j15]Marc I. Gerritsma, Pavel B. Bochev:
A spectral mimetic least-squares method for the Stokes equations with no-slip boundary condition. Comput. Math. Appl. 71(11): 2285-2300 (2016) - 2015
- [c3]Marc Gerritsma, Jeroen Kunnen, Boudewijn de Heij:
Discrete Lie Derivative. ENUMATH 2015: 635-643 - 2014
- [j14]Pavel B. Bochev, Marc I. Gerritsma:
A spectral mimetic least-squares method. Comput. Math. Appl. 68(11): 1480-1502 (2014) - [j13]Artur Palha, Pedro Pinto Rebelo, René Hiemstra, Jasper J. Kreeft, Marc I. Gerritsma:
Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms. J. Comput. Phys. 257: 1394-1422 (2014) - [j12]René R. Hiemstra, Deepesh Toshniwal, R. H. M. Huijsmans, Marc I. Gerritsma:
High order geometric methods with exact conservation properties. J. Comput. Phys. 257: 1444-1471 (2014) - 2013
- [j11]Jasper J. Kreeft, Marc I. Gerritsma:
Mixed mimetic spectral element method for Stokes flow: A pointwise divergence-free solution. J. Comput. Phys. 240: 284-309 (2013) - [i2]Jasper J. Kreeft, Marc I. Gerritsma:
Higher-order compatible discretization on hexahedrals. CoRR abs/1304.7018 (2013) - 2012
- [i1]Jasper J. Kreeft, Marc I. Gerritsma:
A priori error estimates for compatible spectral discretization of the Stokes problem for all admissible boundary conditions. CoRR abs/1206.2812 (2012) - 2010
- [j10]Marc I. Gerritsma, Jan-Bart van der Steen, Peter Vos, George E. Karniadakis:
Time-dependent generalized polynomial chaos. J. Comput. Phys. 229(22): 8333-8363 (2010)
2000 – 2009
- 2009
- [c2]Marc I. Gerritsma, Mick Bouman, Artur Palha:
Least-Squares Spectral Element Method on a Staggered Grid. LSSC 2009: 653-661 - [c1]Artur Palha, Marc I. Gerritsma:
Mimetic Least-Squares Spectral/hp Finite Element Method for the Poisson Equation. LSSC 2009: 662-670 - 2008
- [j9]Wijnand Hoitinga, Roel de Groot, Marcel Kwakkel, Marc I. Gerritsma:
Direct Minimization of the least-squares spectral element functional - Part I: Direct solver. J. Comput. Phys. 227(4): 2411-2429 (2008) - 2006
- [j8]Bart De Maerschalck, Marc I. Gerritsma:
Higher-Order Gauss-Lobatto Integration for Non-Linear Hyperbolic Equations. J. Sci. Comput. 27(1-3): 201-214 (2006) - [j7]Marc I. Gerritsma:
Direct Minimization of the Discontinuous Least-Squares Spectral Element Method for Viscoelastic Fluids. J. Sci. Comput. 27(1-3): 245-256 (2006) - [j6]Michael M. J. Proot, Marc I. Gerritsma:
Mass- and Momentum Conservation of the Least-Squares Spectral Element Method for the Stokes Problem. J. Sci. Comput. 27(1-3): 389-401 (2006) - 2005
- [j5]Michael M. J. Proot, Marc I. Gerritsma:
Application of the least-squares spectral element method using Chebyshev polynomials to solve the incompressible Navier-Stokes equations. Numer. Algorithms 38(1-3): 155-172 (2005) - [j4]Bart De Maerschalck, Marc I. Gerritsma:
The use of Chebyshev Polynomials in the space-time least-squares spectral element method. Numer. Algorithms 38(1-3): 173-196 (2005) - 2002
- [j3]Michael M. J. Proot, Marc I. Gerritsma:
A Least-Squares Spectral Element Formulation for the Stokes Problem. J. Sci. Comput. 17(1-4): 285-296 (2002) - [j2]Marc I. Gerritsma, Michael M. J. Proot:
Analysis of a Discontinuous Least Squares Spectral Element Method. J. Sci. Comput. 17(1-4): 297-306 (2002)
1990 – 1999
- 1999
- [j1]Marc I. Gerritsma, Tim N. Phillips:
Compatible Spectral Approximations for the Velocity-Pressure-Stress Formulation of the Stokes Problem. SIAM J. Sci. Comput. 20(4): 1530-1550 (1999)
Coauthor Index
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