Marc I. Gerritsma

Publication Activity (10 Years)

Years Active: 1999-2020
Publications (10 Years): 8

Top Topics

Boundary Conditions

Poisson Equation

Finite Element Methods

Top Venues

J. Comput. Phys.

Comput. Math. Appl.

Publications

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 (2020)
Gonzalo Gonzalez de Diego, Artur Palha, Marc I. Gerritsma
Inclusion of no-slip boundary conditions in the MEEVC scheme. J. Comput. Phys. 378 (2019)
D. Lee, Artur Palha, Marc I. Gerritsma
Discrete conservation properties for shallow water flows using mixed mimetic spectral elements. J. Comput. Phys. 357 (2018)
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 (2017)
Marc I. Gerritsma, Carsten Carstensen, Leszek F. Demkowicz, Jay Gopalakrishnan
Minimum Residual and Least Squares Finite Element Methods II. Comput. Math. Appl. 74 (8) (2017)
Artur Palha, Marc I. Gerritsma
Spectral Mimetic Least-Squares Method for Curl-curl Systems. LSSC (2017)
Marc I. Gerritsma, Artur Palha
Spectral Mimetic Least-Squares Method for Div-curl Systems. LSSC (2017)
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) (2016)
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 (2014)
René R. Hiemstra, Deepesh Toshniwal, R. H. M. Huijsmans, Marc I. Gerritsma
High order geometric methods with exact conservation properties. J. Comput. Phys. 257 (2014)
Pavel B. Bochev, Marc I. Gerritsma
A spectral mimetic least-squares method. Comput. Math. Appl. 68 (11) (2014)
Jasper J. Kreeft, Marc I. Gerritsma
Higher-order compatible discretization on hexahedrals CoRR (2013)
Jasper J. Kreeft, Marc I. Gerritsma
Mixed mimetic spectral element method for Stokes flow: A pointwise divergence-free solution. J. Comput. Phys. 240 (2013)
Jasper J. Kreeft, Marc I. Gerritsma
A priori error estimates for compatible spectral discretization of the Stokes problem for all admissible boundary conditions CoRR (2012)
Marc I. Gerritsma, Jan-Bart van der Steen, Peter Vos, George E. Karniadakis
Time-dependent generalized polynomial chaos. J. Comput. Phys. 229 (22) (2010)
Artur Palha, Marc I. Gerritsma
Finite Element Method for the Poisson Equation. LSSC (2009)
Marc I. Gerritsma, Mick Bouman, Artur Palha
Least-Squares Spectral Element Method on a Staggered Grid. LSSC (2009)
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) (2008)
Marc I. Gerritsma
Direct Minimization of the Discontinuous Least-Squares Spectral Element Method for Viscoelastic Fluids. J. Sci. Comput. 27 (1-3) (2006)
Bart De Maerschalck, Marc I. Gerritsma
Higher-Order Gauss-Lobatto Integration for Non-Linear Hyperbolic Equations. J. Sci. Comput. 27 (1-3) (2006)
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) (2006)
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) (2005)
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) (2005)
Marc I. Gerritsma, Michael M. J. Proot
Analysis of a Discontinuous Least Squares Spectral Element Method. J. Sci. Comput. 17 (1-4) (2002)
Michael M. J. Proot, Marc I. Gerritsma
A Least-Squares Spectral Element Formulation for the Stokes Problem. J. Sci. Comput. 17 (1-4) (2002)
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) (1999)