| Optimal and reduced quadrature rules for tensor product and hierarchically refined splines in isogeometric analysis RR Hiemstra, F Calabro, D Schillinger, TJR Hughes Computer Methods in Applied Mechanics and Engineering 316, 966-1004, 2017 | 115 | 2017 |
| Multi-degree smooth polar splines: A framework for geometric modeling and isogeometric analysis D Toshniwal, H Speleers, RR Hiemstra, TJR Hughes Computer Methods in Applied Mechanics and Engineering 316, 1005-1061, 2017 | 95 | 2017 |
| Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms A Palha, PP Rebelo, R Hiemstra, J Kreeft, M Gerritsma Journal of Computational Physics 257, 1394-1422, 2014 | 72 | 2014 |
| Explicit higher-order accurate isogeometric collocation methods for structural dynamics JA Evans, RR Hiemstra, TJR Hughes, A Reali Computer Methods in Applied Mechanics and Engineering 338, 208-240, 2018 | 69 | 2018 |
| Fast formation and assembly of finite element matrices with application to isogeometric linear elasticity RR Hiemstra, G Sangalli, M Tani, F Calabrò, TJR Hughes Computer Methods in Applied Mechanics and Engineering 355, 234-260, 2019 | 50 | 2019 |
| High order geometric methods with exact conservation properties RR Hiemstra, D Toshniwal, RHM Huijsmans, MI Gerritsma Journal of Computational Physics 257, 1444-1471, 2014 | 49 | 2014 |
| Improved conditioning of isogeometric analysis matrices for trimmed geometries B Marussig, R Hiemstra, TJR Hughes Computer Methods in Applied Mechanics and Engineering 334, 79-110, 2018 | 44 | 2018 |
| A collocated C0 finite element method: Reduced quadrature perspective, cost comparison with standard finite elements, and explicit structural dynamics D Schillinger, JA Evans, F Frischmann, RR Hiemstra, MC Hsu, ... International Journal for Numerical Methods in Engineering 102 (3-4), 576-631, 2015 | 35 | 2015 |
| Multi-degree B-splines: Algorithmic computation and properties D Toshniwal, H Speleers, RR Hiemstra, C Manni, TJR Hughes Computer Aided Geometric Design 76, 101792, 2020 | 30 | 2020 |
| Towards untrimmed NURBS: CAD embedded reparameterization of trimmed B-rep geometry using frame-field guided global parameterization RR Hiemstra, KM Shepherd, MJ Johnson, L Quan, TJR Hughes Computer Methods in Applied Mechanics and Engineering 369, 113227, 2020 | 29 | 2020 |
| A matrix-free isogeometric Galerkin method for Karhunen–Loève approximation of random fields using tensor product splines, tensor contraction and interpolation based quadrature ML Mika, TJR Hughes, D Schillinger, P Wriggers, RR Hiemstra Computer Methods in Applied Mechanics and Engineering 379, 113730, 2021 | 20 | 2021 |
| Removal of spurious outlier frequencies and modes from isogeometric discretizations of second-and fourth-order problems in one, two, and three dimensions RR Hiemstra, TJR Hughes, A Reali, D Schillinger Computer Methods in Applied Mechanics and Engineering 387, 114115, 2021 | 17 | 2021 |
| A Tchebycheffian extension of multidegree B-splines: Algorithmic computation and properties RR Hiemstra, TJR Hughes, C Manni, H Speleers, D Toshniwal SIAM Journal on Numerical Analysis 58 (2), 1138-1163, 2020 | 16 | 2020 |
| The geometric basis of numerical methods M Gerritsma, R Hiemstra, J Kreeft, A Palha, P Rebelo, D Toshniwal Spectral and High Order Methods for Partial Differential Equations-ICOSAHOM …, 2013 | 12 | 2013 |
| The quad layout immersion: A mathematically equivalent representation of a surface quadrilateral layout KM Shepherd, RR Hiemstra, TJR Hughes arXiv preprint arXiv:2012.09368, 2020 | 8 | 2020 |
| Variationally consistent mass scaling for explicit time-integration schemes of lower-and higher-order finite element methods SKF Stoter, TH Nguyen, RR Hiemstra, D Schillinger Computer Methods in Applied Mechanics and Engineering 399, 115310, 2022 | 7 | 2022 |
| A variational approach based on perturbed eigenvalue analysis for improving spectral properties of isogeometric multipatch discretizations TH Nguyen, RR Hiemstra, SKF Stoter, D Schillinger Computer Methods in Applied Mechanics and Engineering 392, 114671, 2022 | 7 | 2022 |
| Quadrilateral layout generation and optimization using equivalence classes of integral curves: theory and application to surfaces with boundaries KM Shepherd, XD Gu, RR Hiemstra, TJR Hughes Journal of Mechanics 38, 128-155, 2022 | 6 | 2022 |
| Isogeometric mimetic methods R Hiemstra TU Delft, 2011 | 5 | 2011 |
| Leveraging spectral analysis to elucidate membrane locking and unlocking in isogeometric finite element formulations of the curved Euler–Bernoulli beam TH Nguyen, RR Hiemstra, D Schillinger Computer Methods in Applied Mechanics and Engineering 388, 114240, 2022 | 3 | 2022 |
Thomas JR HughesPeter O'Donnell Jr. Chair in Computational and Applied Mathematics, University of Texas at AustinVerified email at ices.utexas.edu
