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)

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)

A mimetic spectral element solver for the Grad-Shafranov equation. - Artur Palha; Barry Koren; Federico Felici (J. Comput. Phys., 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)

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)

A mixed mimetic spectral element model of the rotating shallow water equations on the cubed sphere. - D. Lee; Artur Palha (J. Comput. Phys., 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)

Exact spatial and temporal balance of energy exchanges within a horiztonally explicit/vertically implicit non-hydrostatic atmosphere. - David Lee; Artur Palha (CoRR, 2020)

A mixed mimetic spectral element model of the 3D compressible Euler equations on the cubed sphere. - D. Lee; Artur Palha (J. Comput. Phys., 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)

Exact spatial and temporal balance of energy exchanges within a horizontally explicit/vertically implicit non-hydrostatic atmosphere. - David Lee; Artur Palha (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)

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)

open Delft Advanced Research Terra Simulator (open-DARTS). - Denis V. Voskov; Ilshat Saifullin; Aleksei Novikov; Michiel Wapperom; Luisa Orozco; Gabriel Serrão Seabra; Yuan Chen; Mark Khait; Xiaocong Lyu; Xiaoming Tian; Stephan de Hoop; Artur Palha (J. Open Source Softw., 2024)