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Author ID: gerritsma.marc-i Recent zbMATH articles by "Gerritsma, Marc I."
Published as: Gerritsma, Marc; Gerritsma, M. I.; Gerritsma, Marc I.; Gerritsma, M.
External Links: ORCID

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 379 times in 216 Documents Cited by Year
Time-dependent generalized polynomial chaos. Zbl 1201.65216
Gerritsma, Marc; van der Steen, Jan-Bart; Vos, Peter; Karniadakis, George
44
2010
A least-squares spectral element formulation for the Stokes problem. Zbl 1036.76046
Proot, M. M. J.; Gerritsma, M. I.
33
2002
Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms. Zbl 1352.65629
Palha, Artur; Rebelo, Pedro Pinto; Hiemstra, René; Kreeft, Jasper; Gerritsma, Marc
25
2014
Edge functions for spectral element methods. Zbl 1216.65168
Gerritsma, Marc
23
2011
Mass- and momentum conservation of the least-squares spectral element method for the Stokes problem. Zbl 1100.76049
Proot, Michael M. J.; Gerritsma, Marc I.
18
2006
The use of Chebyshev polynomials in the space-time least-squares spectral element method. Zbl 1066.65110
De Maerschalck, Bart; Gerritsma, Marc I.
17
2005
Compatible spectral approximations for the velocity-pressure-stress formulation of the Stokes problem. Zbl 0932.76064
Gerritsma, M. I.; Phillips, T. N.
17
1999
High order geometric methods with exact conservation properties. Zbl 1351.78055
Hiemstra, R. R.; Toshniwal, D.; Huijsmans, R. H. M.; Gerritsma, M. I.
15
2014
Analysis of a discontinuous least squares spectral element method. Zbl 1004.65073
Gerritsma, Marc I.; Proot, Michael M. J.
15
2002
A mass, energy, enstrophy and vorticity conserving (MEEVC) mimetic spectral element discretization for the 2D incompressible Navier-Stokes equations. Zbl 1406.76064
Palha, A.; Gerritsma, M.
14
2017
A conservative spectral element method for curvilinear domains. Zbl 1216.65166
Bouman, Mick; Palha, Artur; Kreeft, Jasper; Gerritsma, Marc
13
2011
Discontinuous spectral element approximations for the velocity-pressure-stress formulation of the Stokes problem. Zbl 0924.76081
Gerritsma, M. I.; Phillips, T. N.
12
1998
Application of the least-squares spectral element method using Chebyshev polynomials to solve the incompressible Navier-Stokes equations. Zbl 1064.76079
Proot, Michael M. J.; Gerritsma, Marc I.
11
2005
Least-squares spectral element method for non-linear hyperbolic differential equations. Zbl 1138.65088
De Maerschalck, B.; Gerritsma, M. I.
11
2008
Higher-order Gauss-Lobatto integration for nonlinear hyperbolic equations. Zbl 1115.65103
De Maerschalck, Bart; Gerritsma, Marc I.
10
2006
Discrete conservation properties for shallow water flows using mixed mimetic spectral elements. Zbl 1382.65318
Lee, D.; Palha, A.; Gerritsma, M.
9
2018
\(hp\)-adaptive least squares spectral element method for hyperbolic partial differential equations. Zbl 1138.65091
Galvão, Árpád; Gerritsma, Marc; De Maerschalck, Bart
9
2008
A spectral mimetic least-squares method. Zbl 1364.35137
Bochev, Pavel; Gerritsma, Marc
7
2014
Direct minimization of the discontinuous least-squares spectral element method for viscoelastic fluids. Zbl 1101.76040
Gerritsma, Marc I.
7
2006
Direct minimization of the least-squares spectral element functional. I: Direct solver. Zbl 1138.65105
Hoitinga, Wijnand; de Groot, Roel; Kwakkel, Marcel; Gerritsma, Marc
7
2008
On the characteristics and compatibility equations for the UCM model fluid. Zbl 1140.76308
Gerritsma, M. I.; Phillips, T. N.
7
2008
Spectral element methods for axisymmetric Stokes problems. Zbl 0984.76065
Gerritsma, M. I.; Phillips, T. N.
6
2000
Spectral element approximation of the Hodge-* operator in curved elements. Zbl 1216.65171
Palha, Artur; Gerritsma, Marc
5
2011
Least-squares spectral element method applied to the Euler equations. Zbl 1140.76030
Gerritsma, Marc; van der Bas, Rokus; De Maerschalck, Bart; Koren, Barry; Deconinck, Herman
5
2008
Mimetic least-squares spectral/hp finite element method for the Poisson equation. Zbl 1280.65130
Palha, Artur; Gerritsma, Marc
4
2010
Least-squares spectral element methods in computational fluid dynamics. Zbl 1423.76322
Gerritsma, Marc; De Maerschalck, Bart
4
2010
Construction and application of algebraic dual polynomial representations for finite element methods on quadrilateral and hexahedral meshes. Zbl 07362357
Jain, V.; Zhang, Y.; Palha, A.; Gerritsma, M.
4
2021
Mimetic spectral element advection. Zbl 1282.65124
Palha, Artur; Rebelo, Pedro Pinto; Gerritsma, Marc
3
2014
Mixed mimetic spectral element method applied to Darcy’s problem. Zbl 1426.76512
Rebelo, Pedro Pinto; Palha, Artur; Gerritsma, Marc
3
2014
Spectral element method for parabolic interface problems. Zbl 1440.65140
Khan, Arbaz; Upadhyay, Chandra Shekhar; Gerritsma, Marc
3
2018
Least-squares spectral element method on a staggered grid. Zbl 1280.65133
Gerritsma, Marc; Bouman, Mick; Palha, Artur
3
2010
Time-dependent polynomial chaos. Zbl 1167.65464
Gerritsma, Marc; Vos, Peter; van der Steen, Jan-Bart
2
2008
On the use of characteristic variables in viscoelastic flow problems. Zbl 0994.76010
Gerritsma, M. I.; Phillips, T. N.
2
2001
The least-squares spectral element method for phase-field models for isothermal fluid mixture. Zbl 1397.65189
Park, Keunsoo; Fernandino, Maria; Dorao, Carlos A.; Gerritsma, Marc
2
2017
A spectral mimetic least-squares method for the Stokes equations with no-slip boundary condition. Zbl 1443.65389
Gerritsma, Marc; Bochev, Pavel
2
2016
The discrete Steklov-Poincaré operator using algebraic dual polynomials. Zbl 1420.65129
Zhang, Yi; Jain, Varun; Palha, Artur; Gerritsma, Marc
2
2019
Mimetic spectral element method for anisotropic diffusion. Zbl 1416.65476
Gerritsma, Marc; Palha, Artur; Jain, Varun; Zhang, Yi
1
2018
Inclusion of no-slip boundary conditions in the MEEVC scheme. Zbl 1416.76104
de Diego, G. G.; Palha, A.; Gerritsma, M.
1
2019
Compatible approximation spaces for the velocity-pressure-stress formulation for creeping flows. Zbl 0993.76060
Gerritsma, M. I.; Phillips, T. N.
1
2000
The geometric basis of numerical methods. Zbl 1282.76119
Gerritsma, Marc; Hiemstra, René; Kreeft, Jasper; Palha, Artur; Rebelo, Pedro; Toshniwal, Deepesh
1
2014
Non-conforming least-squares spectral element method for Stokes equations on non-smooth domains. Zbl 1440.65252
Mohapatra, S.; Dutt, P.; Rathish Kumar, B. V.; Gerritsma, Marc I.
1
2020
Construction and application of algebraic dual polynomial representations for finite element methods on quadrilateral and hexahedral meshes. Zbl 07362357
Jain, V.; Zhang, Y.; Palha, A.; Gerritsma, M.
4
2021
Non-conforming least-squares spectral element method for Stokes equations on non-smooth domains. Zbl 1440.65252
Mohapatra, S.; Dutt, P.; Rathish Kumar, B. V.; Gerritsma, Marc I.
1
2020
The discrete Steklov-Poincaré operator using algebraic dual polynomials. Zbl 1420.65129
Zhang, Yi; Jain, Varun; Palha, Artur; Gerritsma, Marc
2
2019
Inclusion of no-slip boundary conditions in the MEEVC scheme. Zbl 1416.76104
de Diego, G. G.; Palha, A.; Gerritsma, M.
1
2019
Discrete conservation properties for shallow water flows using mixed mimetic spectral elements. Zbl 1382.65318
Lee, D.; Palha, A.; Gerritsma, M.
9
2018
Spectral element method for parabolic interface problems. Zbl 1440.65140
Khan, Arbaz; Upadhyay, Chandra Shekhar; Gerritsma, Marc
3
2018
Mimetic spectral element method for anisotropic diffusion. Zbl 1416.65476
Gerritsma, Marc; Palha, Artur; Jain, Varun; Zhang, Yi
1
2018
A mass, energy, enstrophy and vorticity conserving (MEEVC) mimetic spectral element discretization for the 2D incompressible Navier-Stokes equations. Zbl 1406.76064
Palha, A.; Gerritsma, M.
14
2017
The least-squares spectral element method for phase-field models for isothermal fluid mixture. Zbl 1397.65189
Park, Keunsoo; Fernandino, Maria; Dorao, Carlos A.; Gerritsma, Marc
2
2017
A spectral mimetic least-squares method for the Stokes equations with no-slip boundary condition. Zbl 1443.65389
Gerritsma, Marc; Bochev, Pavel
2
2016
Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms. Zbl 1352.65629
Palha, Artur; Rebelo, Pedro Pinto; Hiemstra, René; Kreeft, Jasper; Gerritsma, Marc
25
2014
High order geometric methods with exact conservation properties. Zbl 1351.78055
Hiemstra, R. R.; Toshniwal, D.; Huijsmans, R. H. M.; Gerritsma, M. I.
15
2014
A spectral mimetic least-squares method. Zbl 1364.35137
Bochev, Pavel; Gerritsma, Marc
7
2014
Mimetic spectral element advection. Zbl 1282.65124
Palha, Artur; Rebelo, Pedro Pinto; Gerritsma, Marc
3
2014
Mixed mimetic spectral element method applied to Darcy’s problem. Zbl 1426.76512
Rebelo, Pedro Pinto; Palha, Artur; Gerritsma, Marc
3
2014
The geometric basis of numerical methods. Zbl 1282.76119
Gerritsma, Marc; Hiemstra, René; Kreeft, Jasper; Palha, Artur; Rebelo, Pedro; Toshniwal, Deepesh
1
2014
Edge functions for spectral element methods. Zbl 1216.65168
Gerritsma, Marc
23
2011
A conservative spectral element method for curvilinear domains. Zbl 1216.65166
Bouman, Mick; Palha, Artur; Kreeft, Jasper; Gerritsma, Marc
13
2011
Spectral element approximation of the Hodge-* operator in curved elements. Zbl 1216.65171
Palha, Artur; Gerritsma, Marc
5
2011
Time-dependent generalized polynomial chaos. Zbl 1201.65216
Gerritsma, Marc; van der Steen, Jan-Bart; Vos, Peter; Karniadakis, George
44
2010
Mimetic least-squares spectral/hp finite element method for the Poisson equation. Zbl 1280.65130
Palha, Artur; Gerritsma, Marc
4
2010
Least-squares spectral element methods in computational fluid dynamics. Zbl 1423.76322
Gerritsma, Marc; De Maerschalck, Bart
4
2010
Least-squares spectral element method on a staggered grid. Zbl 1280.65133
Gerritsma, Marc; Bouman, Mick; Palha, Artur
3
2010
Least-squares spectral element method for non-linear hyperbolic differential equations. Zbl 1138.65088
De Maerschalck, B.; Gerritsma, M. I.
11
2008
\(hp\)-adaptive least squares spectral element method for hyperbolic partial differential equations. Zbl 1138.65091
Galvão, Árpád; Gerritsma, Marc; De Maerschalck, Bart
9
2008
Direct minimization of the least-squares spectral element functional. I: Direct solver. Zbl 1138.65105
Hoitinga, Wijnand; de Groot, Roel; Kwakkel, Marcel; Gerritsma, Marc
7
2008
On the characteristics and compatibility equations for the UCM model fluid. Zbl 1140.76308
Gerritsma, M. I.; Phillips, T. N.
7
2008
Least-squares spectral element method applied to the Euler equations. Zbl 1140.76030
Gerritsma, Marc; van der Bas, Rokus; De Maerschalck, Bart; Koren, Barry; Deconinck, Herman
5
2008
Time-dependent polynomial chaos. Zbl 1167.65464
Gerritsma, Marc; Vos, Peter; van der Steen, Jan-Bart
2
2008
Mass- and momentum conservation of the least-squares spectral element method for the Stokes problem. Zbl 1100.76049
Proot, Michael M. J.; Gerritsma, Marc I.
18
2006
Higher-order Gauss-Lobatto integration for nonlinear hyperbolic equations. Zbl 1115.65103
De Maerschalck, Bart; Gerritsma, Marc I.
10
2006
Direct minimization of the discontinuous least-squares spectral element method for viscoelastic fluids. Zbl 1101.76040
Gerritsma, Marc I.
7
2006
The use of Chebyshev polynomials in the space-time least-squares spectral element method. Zbl 1066.65110
De Maerschalck, Bart; Gerritsma, Marc I.
17
2005
Application of the least-squares spectral element method using Chebyshev polynomials to solve the incompressible Navier-Stokes equations. Zbl 1064.76079
Proot, Michael M. J.; Gerritsma, Marc I.
11
2005
A least-squares spectral element formulation for the Stokes problem. Zbl 1036.76046
Proot, M. M. J.; Gerritsma, M. I.
33
2002
Analysis of a discontinuous least squares spectral element method. Zbl 1004.65073
Gerritsma, Marc I.; Proot, Michael M. J.
15
2002
On the use of characteristic variables in viscoelastic flow problems. Zbl 0994.76010
Gerritsma, M. I.; Phillips, T. N.
2
2001
Spectral element methods for axisymmetric Stokes problems. Zbl 0984.76065
Gerritsma, M. I.; Phillips, T. N.
6
2000
Compatible approximation spaces for the velocity-pressure-stress formulation for creeping flows. Zbl 0993.76060
Gerritsma, M. I.; Phillips, T. N.
1
2000
Compatible spectral approximations for the velocity-pressure-stress formulation of the Stokes problem. Zbl 0932.76064
Gerritsma, M. I.; Phillips, T. N.
17
1999
Discontinuous spectral element approximations for the velocity-pressure-stress formulation of the Stokes problem. Zbl 0924.76081
Gerritsma, M. I.; Phillips, T. N.
12
1998
all top 5

Cited by 364 Authors

30 Gerritsma, Marc I.
14 Palha, Artur
10 Dorao, Carlos A.
8 Jakobsen, Hugo Atle
7 Heinrichs, Wilhelm
7 Poëtte, Gaël
6 Phillips, Timothy N.
5 De Maerschalck, Bart
5 Pukhnachov, Vladislav Vasil’evich
4 Bochev, Pavel B.
4 Fernandino, Maria
4 Karniadakis, George Em
4 Khan, Arbaz
4 Lipnikov, Konstantin N.
4 Lucor, Didier
4 Manzini, Gianmarco
3 Bauer, Werner
3 Cotter, Colin John
3 Hiemstra, René R.
3 Hughes, Thomas J. R.
3 Jain, Varun
3 Kattelans, Thorsten
3 Koren, Barry
3 Kumar, N. Kishore
3 Proot, Michael M. J.
3 Reddy, Junuthula Narasimha
3 Toshniwal, Deepesh
3 Venturi, Daniele
2 Abgrall, Rémi
2 Bahmyari, Ehsan
2 Bal, Guillaume
2 Behrens, Jorn
2 Blackburn, Hugh M.
2 Congedo, Pietro Marco
2 Desbrun, Mathieu
2 Deville, Michel O.
2 Eldred, Christopher
2 Esquivel, Hugo
2 Fiétier, Nicolas
2 Geraci, Gianluca
2 Guaily, Amr
2 Husain, Akhlaq
2 Jornet, Marc
2 Khedmati, Mohammad Reza
2 Le Roux, Daniel Y.
2 Leng, Haitao
2 Lyapidevskiĭ, Valeriĭ Yur’evich
2 Lin, Guang
2 Mohapatra, Subhashree
2 Owens, Robert G.
2 Özen, Hasan Çağan
2 Park, Keunsoo
2 Parussini, Lucia
2 Prakash, Arun J.
2 Qin, Guoliang
2 Rebholz, Leo G.
2 Sangalli, Giancarlo
2 Schwarz, Alexander
2 Sert, Cuneyt
2 Sochala, Pierre
2 Solsvik, Jannike
2 Tartakovsky, Daniel M.
2 Trask, Nathaniel A.
2 Upadhyay, Chandra Shekhar
2 van Os, R. G. M.
1 Abbaszadeh, Mostafa
1 Akyüz-Daşcıoğlu, Ayşegül
1 AL-Jawary, Majeed Ahmed
1 Albi, Giacomo
1 Alexanderian, Alen
1 Alipanah, Amjad
1 Antolin, Pablo
1 Averweg, Solveigh
1 Ayuso de Dios, Blanca
1 Ayyad, Mahmoud
1 Ayyaswamy, Singaraj Kulandaiswamy
1 Balachandar, S. Raja
1 Belding, Jeffrey
1 Bernal, Francisco
1 Bhattacharya, Raktim
1 Birolleau, Alexandre
1 Biswas, Pankaj
1 Bonnaire, P.
1 Brunton, Steven L.
1 Budninskiy, Max
1 Buffa, Annalisa
1 Cai, Wenjun
1 Cai, Zhiqiang
1 Calabró, Francesco
1 Calatayud, Julia
1 Caltagirone, Jean-Paul
1 Capuano, Francesco
1 Çelik, İbrahim
1 Chan, Jesse
1 Chauvière, Cédric
1 Cheluget, Eric
1 Chen, Dexiang
1 Chen, Shaofei
1 Chen, Yanping
1 Chen, Zhangxin
...and 264 more Authors
all top 5

Cited in 60 Serials

61 Journal of Computational Physics
17 Computer Methods in Applied Mechanics and Engineering
12 Computers & Mathematics with Applications
11 Computers and Fluids
11 Journal of Computational and Applied Mathematics
7 Journal of Scientific Computing
5 Applied Mathematics and Computation
5 Mathematics and Computers in Simulation
5 Applied Mathematical Modelling
5 SIAM Journal on Scientific Computing
4 Applied Numerical Mathematics
4 Numerical Algorithms
3 International Journal for Numerical Methods in Fluids
2 Wave Motion
2 Numerical Methods for Partial Differential Equations
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 SIAM Review
2 Engineering Analysis with Boundary Elements
2 Mathematical Problems in Engineering
2 Journal of Applied Mechanics and Technical Physics
2 Computational Geosciences
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 SIAM/ASA Journal on Uncertainty Quantification
1 Acta Mechanica
1 Applicable Analysis
1 Geophysical and Astrophysical Fluid Dynamics
1 Journal of Engineering Mathematics
1 Lithuanian Mathematical Journal
1 Automatica
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 SIAM Journal on Control and Optimization
1 SIAM Journal on Numerical Analysis
1 Optimal Control Applications & Methods
1 Physica D
1 Computational Mechanics
1 Journal of Non-Newtonian Fluid Mechanics
1 Physics of Fluids
1 Computational and Applied Mathematics
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Advances in Computational Mathematics
1 Journal of Mathematical Chemistry
1 International Journal of Computational Fluid Dynamics
1 Multibody System Dynamics
1 Methodology and Computing in Applied Probability
1 Computational Methods in Applied Mathematics
1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Numerical Mathematics
1 Quantum Information Processing
1 International Journal of Computational Methods
1 Journal of Computational Acoustics
1 Proceedings of the Steklov Institute of Mathematics
1 Acta Mechanica Sinica
1 Communications in Computational Physics
1 Mathematical Geosciences
1 AMM. Applied Mathematics and Mechanics. (English Edition)
1 Cogent Mathematics & Statistics
1 Results in Applied Mathematics

Citations by Year