Marc I. Gerritsma

Orcid: 0000-0003-2539-642X

According to our database1, Marc I. Gerritsma authored at least 39 papers between 1999 and 2023.

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

Timeline

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Bibliography

2023
Construction and application of an algebraic dual basis and the Fine-Scale Greens' Function for computing projections and reconstructing unresolved scales.
CoRR, 2023

A MEEVC discretization for two-dimensional incompressible Navier-Stokes equations with general boundary conditions.
CoRR, 2023

2022
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., 2022

Use of algebraic dual representations in domain decomposition methods for Darcy flow in 3D domain.
CoRR, 2022

2021
A hybrid mimetic spectral element method for three-dimensional linear elasticity problems.
J. Comput. Phys., 2021

Estimation and numerical validation of inf-sup constant for bilinear form (p, div u).
CoRR, 2021

Construction and application of algebraic dual polynomial representations for finite element methods on quadrilateral and hexahedral meshes.
Comput. Math. Appl., 2021

2020
Non-conforming least-squares spectral element method for Stokes equations on non-smooth domains.
J. Comput. Appl. Math., 2020

2019
Inclusion of no-slip boundary conditions in the MEEVC scheme.
J. Comput. Phys., 2019

A conservative, physically compatible discretization for turbidity currents.
CoRR, 2019

The Discrete Steklov-Poincaré Operator Using Algebraic Dual Polynomials.
Comput. Methods Appl. Math., 2019

2018
Discrete conservation properties for shallow water flows using mixed mimetic spectral elements.
J. Comput. Phys., 2018

C1 continuous h-adaptive least-squares spectral element method for phase-field models.
Comput. Math. Appl., 2018

2017
A mass, energy, enstrophy and vorticity conserving (MEEVC) mimetic spectral element discretization for the 2D incompressible Navier-Stokes equations.
J. Comput. Phys., 2017

The least-squares spectral element method for phase-field models for isothermal fluid mixture.
Comput. Math. Appl., 2017

Minimum Residual and Least Squares Finite Element Methods II.
Comput. Math. Appl., 2017

Numerical Solution of Cahn-Hilliard System by Adaptive Least-Squares Spectral Element Method.
Proceedings of the Large-Scale Scientific Computing - 11th International Conference, 2017

Spectral Mimetic Least-Squares Method for Curl-curl Systems.
Proceedings of the Large-Scale Scientific Computing - 11th International Conference, 2017

Spectral Mimetic Least-Squares Method for Div-curl Systems.
Proceedings of the Large-Scale Scientific Computing - 11th International Conference, 2017

2016
A spectral mimetic least-squares method for the Stokes equations with no-slip boundary condition.
Comput. Math. Appl., 2016

2015
Discrete Lie Derivative.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015

2014
Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms.
J. Comput. Phys., 2014

High order geometric methods with exact conservation properties.
J. Comput. Phys., 2014

A spectral mimetic least-squares method.
Comput. Math. Appl., 2014

2013
Mixed mimetic spectral element method for Stokes flow: A pointwise divergence-free solution.
J. Comput. Phys., 2013

Higher-order compatible discretization on hexahedrals
CoRR, 2013

2012
A priori error estimates for compatible spectral discretization of the Stokes problem for all admissible boundary conditions
CoRR, 2012

2010
Time-dependent generalized polynomial chaos.
J. Comput. Phys., 2010

2009
Mimetic Least-Squares Spectral/<i>hp</i> Finite Element Method for the Poisson Equation.
Proceedings of the Large-Scale Scientific Computing, 7th International Conference, 2009

Least-Squares Spectral Element Method on a Staggered Grid.
Proceedings of the Large-Scale Scientific Computing, 7th International Conference, 2009

2008
Direct Minimization of the least-squares spectral element functional - Part I: Direct solver.
J. Comput. Phys., 2008

2006
Mass- and Momentum Conservation of the Least-Squares Spectral Element Method for the Stokes Problem.
J. Sci. Comput., 2006

Higher-Order Gauss-Lobatto Integration for Non-Linear Hyperbolic Equations.
J. Sci. Comput., 2006

Direct Minimization of the Discontinuous Least-Squares Spectral Element Method for Viscoelastic Fluids.
J. Sci. Comput., 2006

2005
Application of the least-squares spectral element method using Chebyshev polynomials to solve the incompressible Navier-Stokes equations.
Numer. Algorithms, 2005

The use of Chebyshev Polynomials in the space-time least-squares spectral element method.
Numer. Algorithms, 2005

2002
A Least-Squares Spectral Element Formulation for the Stokes Problem.
J. Sci. Comput., 2002

Analysis of a Discontinuous Least Squares Spectral Element Method.
J. Sci. Comput., 2002

1999
Compatible Spectral Approximations for the Velocity-Pressure-Stress Formulation of the Stokes Problem.
SIAM J. Sci. Comput., 1999


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