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)

Multi-degree B-splines: Algorithmic computation and properties. - Deepesh Toshniwal; Hendrik Speleers; René R. Hiemstra; Carla Manni; Thomas J. R. Hughes (Comput. Aided Geom. Des., 2020)

A Tchebycheffian extension of multi-degree B-splines: Algorithmic computation and properties. - René R. Hiemstra; Thomas J. R. Hughes; Carla Manni; Hendrik Speleers; Deepesh Toshniwal (CoRR, 2020)

A matrix-free isogeometric Galerkin method for Karhunen-Loève approximation of random fields using tensor product splines, tensor contraction and interpolation based quadrature. - Michal Lukasz Mika; Thomas Joseph Robert Hughes; Dominik Schillinger; Peter Wriggers; René Rinke Hiemstra (CoRR, 2020)

The Quad Layout Immersion: A Mathematically Equivalent Representation of a Surface Quadrilateral Layout. - Kendrick M. Shepherd; René R. Hiemstra; Thomas J. R. Hughes (CoRR, 2020)

A Tchebycheffian Extension of Multidegree B-Splines: Algorithmic Computation and Properties. - René R. Hiemstra; Thomas J. R. Hughes; Carla Manni; Hendrik Speleers; Deepesh Toshniwal (SIAM J. Numer. Anal., 2020)

A comparison of matrix-free isogeometric Galerkin and collocation methods for Karhunen-Loève expansion. - Michal Lukasz Mika; René Rinke Hiemstra; Thomas Joseph Robert Hughes; Dominik Schillinger (CoRR, 2021)

Leveraging spectral analysis to elucidate membrane locking and unlocking in isogeometric finite element formulations of the curved Euler-Bernoulli beam. - Thi-Hoa Nguyen; René R. Hiemstra; Dominik Schillinger (CoRR, 2021)

A variational approach based on perturbed eigenvalue analysis for improving spectral properties of isogeometric multipatch discretizations. - Thi-Hoa Nguyen; René R. Hiemstra; Stein K. F. Stoter; Dominik Schillinger (CoRR, 2021)

Variationally consistent mass scaling for explicit time-integration schemes of lower- and higher-order finite element methods. - Stein K. F. Stoter; Thi-Hoa Nguyen; René R. Hiemstra; Dominik Schillinger (CoRR, 2022)

A matrix-free macro-element variant of the hybridized discontinuous Galerkin method. - Vahid Badrkhani; René R. Hiemstra; Michal Mika; Dominik Schillinger (CoRR, 2023)

Towards higher-order accurate mass lumping in explicit isogeometric analysis for structural dynamics. - Thi-Hoa Nguyen; René R. Hiemstra; Sascha Eisenträger; Dominik Schillinger (CoRR, 2023)

Fourier analysis of membrane locking and unlocking. - René R. Hiemstra; Federico Fuentes; Dominik Schillinger (CoRR, 2023)

Fast immersed boundary method based on weighted quadrature. - Benjamin Marussig; René Hiemstra; Dominik Schillinger (CoRR, 2023)

Nonlinear dynamic analysis of shear- and torsion-free rods using isogeometric discretization, outlier removal and robust time integration. - Thi-Hoa Nguyen; Bruno A. Roccia; René R. Hiemstra; Cristian G. Gebhardt; Dominik Schillinger (CoRR, 2023)

Higher order accurate mass lumping for explicit isogeometric methods based on approximate dual basis functions. - René Hiemstra; Thi-Hoa Nguyen; Sascha Eisenträger; Wolfgang Dornisch; Dominik Schillinger (CoRR, 2023)

Matrix-free polynomial preconditioning of saddle point systems using the hyper-power method. - Michal Lukasz Mika; Marco F. P. ten Eikelder; Dominik Schillinger; René Rinke Hiemstra (CoRR, 2023)

The matrix-free macro-element hybridized Discontinuous Galerkin method for steady and unsteady compressible flows. - Vahid Badrkhani; Marco F. P. ten Eikelder; René R. Hiemstra; Dominik Schillinger (CoRR, 2024)

A locking-free isogeometric thin shell formulation based on higher order accurate local strain projection via approximate dual splines. - Thi-Hoa Nguyen; René R. Hiemstra; Dominik Schillinger (CoRR, 2024)

Extraction of surface quad layouts from quad layout immersions: application to an isogeometric model of car crash. - Kendrick M. Shepherd; René R. Hiemstra; Xianfeng David Gu; Thomas J. R. Hughes (Eng. Comput., 2024)