Marc I. Gerritsma

26 papers Journal 22Unranked 4
YearRankTypeTitle / Venue / Authors
2020 J jnl
Non-conforming least-squares spectral element method for Stokes equations on non-smooth domains.
J. Comput. Appl. Math.
Subhashree Mohapatra, Pravir Dutt, B. V. Rathish Kumar, Marc I. Gerritsma
2019 J jnl
Inclusion of no-slip boundary conditions in the MEEVC scheme.
J. Comput. Phys.
Gonzalo Gonzalez de Diego, Artur Palha, Marc I. Gerritsma
2018 J jnl
Discrete conservation properties for shallow water flows using mixed mimetic spectral elements.
J. Comput. Phys.
D. Lee, Artur Palha, Marc I. Gerritsma
2017 J jnl
A mass, energy, enstrophy and vorticity conserving (MEEVC) mimetic spectral element discretization for the 2D incompressible Navier-Stokes equations.
J. Comput. Phys.
Artur Palha, Marc I. Gerritsma
2017 J jnl
Minimum Residual and Least Squares Finite Element Methods II.
Comput. Math. Appl.
Marc I. Gerritsma, Carsten Carstensen, Leszek F. Demkowicz, Jay Gopalakrishnan
2017 — conf
Spectral Mimetic Least-Squares Method for Curl-curl Systems.
LSSC
Artur Palha, Marc I. Gerritsma
2017 — conf
Spectral Mimetic Least-Squares Method for Div-curl Systems.
LSSC
Marc I. Gerritsma, Artur Palha
2016 J jnl
A spectral mimetic least-squares method for the Stokes equations with no-slip boundary condition.
Comput. Math. Appl.
Marc I. Gerritsma, Pavel B. Bochev
2014 J jnl
A spectral mimetic least-squares method.
Comput. Math. Appl.
Pavel B. Bochev, Marc I. Gerritsma
2014 J jnl
High order geometric methods with exact conservation properties.
J. Comput. Phys.
René R. Hiemstra, Deepesh Toshniwal, R. H. M. Huijsmans, Marc I. Gerritsma
2014 J jnl
Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms.
J. Comput. Phys.
Artur Palha, Pedro Pinto Rebelo, René Hiemstra, Jasper J. Kreeft, Marc I. Gerritsma
2013 J jnl
Higher-order compatible discretization on hexahedrals
CoRR
Jasper J. Kreeft, Marc I. Gerritsma
2013 J jnl
Mixed mimetic spectral element method for Stokes flow: A pointwise divergence-free solution.
J. Comput. Phys.
Jasper J. Kreeft, Marc I. Gerritsma
2012 J jnl
A priori error estimates for compatible spectral discretization of the Stokes problem for all admissible boundary conditions
CoRR
Jasper J. Kreeft, Marc I. Gerritsma
2010 J jnl
Time-dependent generalized polynomial chaos.
J. Comput. Phys.
Marc I. Gerritsma, Jan-Bart van der Steen, Peter Vos, George E. Karniadakis
2009 — conf
Least-Squares Spectral Element Method on a Staggered Grid.
LSSC
Marc I. Gerritsma, Mick Bouman, Artur Palha
2009 — conf
Mimetic Least-Squares Spectral/
LSSC
Artur Palha, Marc I. Gerritsma
2008 J jnl
Direct Minimization of the least-squares spectral element functional - Part I: Direct solver.
J. Comput. Phys.
Wijnand Hoitinga, Roel de Groot, Marcel Kwakkel, Marc I. Gerritsma
2006 J jnl
Direct Minimization of the Discontinuous Least-Squares Spectral Element Method for Viscoelastic Fluids.
J. Sci. Comput.
Marc I. Gerritsma
2006 J jnl
Higher-Order Gauss-Lobatto Integration for Non-Linear Hyperbolic Equations.
J. Sci. Comput.
Bart De Maerschalck, Marc I. Gerritsma
2006 J jnl
Mass- and Momentum Conservation of the Least-Squares Spectral Element Method for the Stokes Problem.
J. Sci. Comput.
Michael M. J. Proot, Marc I. Gerritsma
2005 J jnl
Application of the least-squares spectral element method using Chebyshev polynomials to solve the incompressible Navier-Stokes equations.
Numer. Algorithms
Michael M. J. Proot, Marc I. Gerritsma
2005 J jnl
The use of Chebyshev Polynomials in the space-time least-squares spectral element method.
Numer. Algorithms
Bart De Maerschalck, Marc I. Gerritsma
2002 J jnl
A Least-Squares Spectral Element Formulation for the Stokes Problem.
J. Sci. Comput.
Michael M. J. Proot, Marc I. Gerritsma
2002 J jnl
Analysis of a Discontinuous Least Squares Spectral Element Method.
J. Sci. Comput.
Marc I. Gerritsma, Michael M. J. Proot
1999 J jnl
Compatible Spectral Approximations for the Velocity-Pressure-Stress Formulation of the Stokes Problem.
SIAM J. Sci. Comput.
Marc I. Gerritsma, Tim N. Phillips