Compatible Spectral Approximations for the Velocity-Pressure-Stress Formulation of the Stokes Problem. - Marc I. Gerritsma; Tim N. Phillips (SIAM J. Sci. Comput., 1999)

Analysis of a Discontinuous Least Squares Spectral Element Method. - Marc I. Gerritsma; Michael M. J. Proot (J. Sci. Comput., 2002)

A Least-Squares Spectral Element Formulation for the Stokes Problem. - Michael M. J. Proot; Marc I. Gerritsma (J. Sci. Comput., 2002)

The use of Chebyshev Polynomials in the space-time least-squares spectral element method. - Bart De Maerschalck; Marc I. Gerritsma (Numer. Algorithms, 2005)

Application of the least-squares spectral element method using Chebyshev polynomials to solve the incompressible Navier-Stokes equations. - Michael M. J. Proot; Marc I. Gerritsma (Numer. Algorithms, 2005)

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

Higher-Order Gauss-Lobatto Integration for Non-Linear Hyperbolic Equations. - Bart De Maerschalck; Marc I. Gerritsma (J. Sci. Comput., 2006)

Mass- and Momentum Conservation of the Least-Squares Spectral Element Method for the Stokes Problem. - Michael M. J. Proot; Marc I. Gerritsma (J. Sci. Comput., 2006)

Direct Minimization of the least-squares spectral element functional - Part I: Direct solver. - Wijnand Hoitinga; Roel de Groot; Marcel Kwakkel; Marc I. Gerritsma (J. Comput. Phys., 2008)

Least-Squares Spectral Element Method on a Staggered Grid. - Marc I. Gerritsma; Mick Bouman; Artur Palha (LSSC, 2009)

Mimetic Least-Squares Spectral/hp Finite Element Method for the Poisson Equation. - Artur Palha; Marc I. Gerritsma (LSSC, 2009)

Time-dependent generalized polynomial chaos. - Marc I. Gerritsma; Jan-Bart van der Steen; Peter Vos; George E. Karniadakis (J. Comput. Phys., 2010)

A priori error estimates for compatible spectral discretization of the Stokes problem for all admissible boundary conditions - Jasper J. Kreeft; Marc I. Gerritsma (CoRR, 2012)

Higher-order compatible discretization on hexahedrals - Jasper J. Kreeft; Marc I. Gerritsma (CoRR, 2013)

Mixed mimetic spectral element method for Stokes flow: A pointwise divergence-free solution. - Jasper J. Kreeft; Marc I. Gerritsma (J. Comput. Phys., 2013)

A spectral mimetic least-squares method. - Pavel B. Bochev; Marc I. Gerritsma (Comput. Math. Appl., 2014)

High order geometric methods with exact conservation properties. - René R. Hiemstra; Deepesh Toshniwal; R. H. M. Huijsmans; Marc I. Gerritsma (J. Comput. Phys., 2014)

Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms. - Artur Palha; Pedro Pinto Rebelo; René Hiemstra; Jasper J. Kreeft; Marc I. Gerritsma (J. Comput. Phys., 2014)

Discrete Lie Derivative. - Marc Gerritsma; Jeroen Kunnen; Boudewijn de Heij (ENUMATH, 2015)

A spectral mimetic least-squares method for the Stokes equations with no-slip boundary condition. - Marc I. Gerritsma; Pavel B. Bochev (Comput. Math. Appl., 2016)

Spectral Mimetic Least-Squares Method for Div-curl Systems. - Marc I. Gerritsma; Artur Palha (LSSC, 2017)

Spectral Mimetic Least-Squares Method for Curl-curl Systems. - Artur Palha; Marc I. Gerritsma (LSSC, 2017)

Numerical Solution of Cahn-Hilliard System by Adaptive Least-Squares Spectral Element Method. - Keunsoo Park; Marc Gerritsma; Maria Fernandino (LSSC, 2017)

Minimum Residual and Least Squares Finite Element Methods II. - Marc I. Gerritsma; Carsten Carstensen; Leszek F. Demkowicz; Jay Gopalakrishnan (Comput. Math. Appl., 2017)

The least-squares spectral element method for phase-field models for isothermal fluid mixture. - Keunsoo Park; Maria Fernandino; Carlos Alberto Dorao; Marc Gerritsma (Comput. Math. Appl., 2017)

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

C1 continuous h-adaptive least-squares spectral element method for phase-field models. - Keunsoo Park; Marc Gerritsma; Maria Fernandino (Comput. Math. Appl., 2018)

Discrete conservation properties for shallow water flows using mixed mimetic spectral elements. - D. Lee; Artur Palha; Marc I. Gerritsma (J. Comput. Phys., 2018)

The Discrete Steklov-Poincaré Operator Using Algebraic Dual Polynomials. - Yi Zhang 060; Varun Jain; Artur Palha; Marc Gerritsma (Comput. Methods Appl. Math., 2019)

A conservative, physically compatible discretization for turbidity currents. - Gonzalo de Diego; Marc Gerritsma; Artur Palha (CoRR, 2019)

Inclusion of no-slip boundary conditions in the MEEVC scheme. - Gonzalo Gonzalez de Diego; Artur Palha; Marc I. Gerritsma (J. Comput. Phys., 2019)

Non-conforming least-squares spectral element method for Stokes equations on non-smooth domains. - Subhashree Mohapatra; Pravir Dutt; B. V. Rathish Kumar; Marc I. Gerritsma (J. Comput. Appl. Math., 2020)

Construction and application of algebraic dual polynomial representations for finite element methods on quadrilateral and hexahedral meshes. - Varun Jain; Yi Zhang 060; Artur Palha; Marc Gerritsma (Comput. Math. Appl., 2021)

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

A hybrid mimetic spectral element method for three-dimensional linear elasticity problems. - Yi Zhang 060; Joël Fisser; Marc Gerritsma (J. Comput. Phys., 2021)

Use of algebraic dual representations in domain decomposition methods for Darcy flow in 3D domain. - V. Jain; Artur Palha; Marc Gerritsma (CoRR, 2022)

A mass-, kinetic energy- and helicity-conserving mimetic dual-field discretization for three-dimensional incompressible Navier-Stokes equations, part I: Periodic domains. - Yi Zhang 060; Artur Palha; Marc Gerritsma; Leo G. Rebholz (J. Comput. Phys., 2022)

Construction and application of an algebraic dual basis and the Fine-Scale Greens' Function for computing projections and reconstructing unresolved scales. - Suyash Shrestha; Joey Dekker; Marc Gerritsma; Steven Hulshoff; Ido Akkerman (CoRR, 2023)

Predicting Open-Hole Laminates Failure Using Support Vector Machines With Classical and Quantum Kernels. - Giorgio Tosti Balducci; Boyang Chen 003; Matthias Möller; Marc Gerritsma; Roeland de Breuker (CoRR, 2024)

Optimal solutions employing an algebraic Variational Multiscale approach Part I: Steady Linear Problems. - Suyash Shrestha; Marc Gerritsma; Gonzalo Rubio; Steven Hulshoff; Esteban Ferrer 001 (CoRR, 2024)

Decoupled structure-preserving discretization of incompressible MHD equations with general boundary conditions. - Yi Zhang 060; Artur Palha; Andrea Brugnoli; Deepesh Toshniwal; Marc Gerritsma (CoRR, 2024)

A MEEVC discretization for two-dimensional incompressible Navier-Stokes equations with general boundary conditions. - Yi Zhang 060; Artur Palha; Marc Gerritsma; Qinghe Yao (J. Comput. Phys., 2024)

Algebraic dynamic multilevel (ADM) method for CO2 storage in heterogeneous saline aquifers. - Mengjie Zhao; Marc Gerritsma; Mohammed Al Kobaisi; Hadi Hajibeygi (J. Comput. Phys., 2025)

Optimal solutions employing an algebraic Variational Multiscale approach Part II: Application to Navier-Stokes. - Suyash Shrestha; Marc Gerritsma; Gonzalo Rubio; Steven Hulshoff; Esteban Ferrer 001 (CoRR, 2025)