Edit Profile (opens in new tab) Hiemstra, René R. Co-Author Distance Author ID: hiemstra.rene-r Published as: Hiemstra, René R.; Hiemstra, René; Hiemstra, R. R. more...less Documents Indexed: 26 Publications since 2012, including 2 Additional arXiv Preprints Co-Authors: 28 Co-Authors with 26 Joint Publications 899 Co-Co-Authors all top 5 Co-Authors 0 single-authored 13 Hughes, Thomas J. R. 13 Schillinger, Dominik 5 Gerritsma, Marc I. 5 Nguyen, Thi-Hoa 5 Toshniwal, Deepesh 3 Mika, Michal L. 3 Speleers, Hendrik 2 Calabró, Francesco 2 Eisenträger, Sascha 2 Evans, John A. 2 Huijsmans, R. H. M. 2 Kreeft, Jasper J. 2 Manni, Carla 2 Marussig, Benjamin 2 Palha, Artur 2 Reali, Alessandro 2 Rebelo, Pedro Pinto 2 Shepherd, Kendrick M. 2 Stoter, Stein K. F. 1 Badrkhani, Vahid 1 Dornisch, Wolfgang 1 Frischmann, Felix 1 Fuentes, Federico 1 Hsu, Ming-Chen 1 Quan, Lulin 1 Sangalli, Giancarlo 1 Tani, Mattia 1 Wriggers, Peter Serials 15 Computer Methods in Applied Mechanics and Engineering 2 Journal of Computational Physics 2 International Journal for Numerical Methods in Engineering 1 SIAM Journal on Numerical Analysis 1 Computer Aided Geometric Design all top 5 Fields 23 Numerical analysis (65-XX) 10 Mechanics of deformable solids (74-XX) 6 Fluid mechanics (76-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 312 times in 240 Documents Cited by ▼ Year ▼ Multi-degree smooth polar splines: a framework for geometric modeling and isogeometric analysis. Zbl 1439.65016 Toshniwal, Deepesh; Speleers, Hendrik; Hiemstra, René R.; Hughes, Thomas J. R. 49 2017 Optimal and reduced quadrature rules for tensor product and hierarchically refined splines in isogeometric analysis. Zbl 1439.65170 Hiemstra, René R.; Calabrò, Francesco; Schillinger, Dominik; Hughes, Thomas J. R. 48 2017 Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms. Zbl 1352.65629 Palha, Artur; Rebelo, Pedro Pinto; Hiemstra, René; Kreeft, Jasper; Gerritsma, Marc 33 2014 Explicit higher-order accurate isogeometric collocation methods for structural dynamics. Zbl 1440.74464 Evans, J. A.; Hiemstra, R. R.; Hughes, T. J. R.; Reali, A. 31 2018 Fast formation and assembly of finite element matrices with application to isogeometric linear elasticity. Zbl 1441.74244 Hiemstra, René R.; Sangalli, Giancarlo; Tani, Mattia; Calabrò, Francesco; Hughes, Thomas J. R. 26 2019 High order geometric methods with exact conservation properties. Zbl 1351.78055 Hiemstra, R. R.; Toshniwal, D.; Huijsmans, R. H. M.; Gerritsma, M. I. 21 2014 Improved conditioning of isogeometric analysis matrices for trimmed geometries. Zbl 1440.74426 Marussig, Benjamin; Hiemstra, René; Hughes, Thomas J. R. 17 2018 Multi-degree B-splines: algorithmic computation and properties. Zbl 1453.65034 Toshniwal, Deepesh; Speleers, Hendrik; Hiemstra, René R.; Manni, Carla; Hughes, Thomas J. R. 16 2020 A collocated \(C^0\) finite element method: reduced quadrature perspective, cost comparison with standard finite elements, and explicit structural dynamics. Zbl 1352.74433 Schillinger, Dominik; Evans, John A.; Frischmann, Felix; Hiemstra, René R.; Hsu, Ming-Chen; Hughes, Thomas J. R. 15 2015 Towards untrimmed NURBS: CAD embedded reparameterization of trimmed B-rep geometry using frame-field guided global parameterization. Zbl 1506.65036 Hiemstra, René R.; Shepherd, Kendrick M.; Johnson, Michael J.; Quan, Lulin; Hughes, Thomas J. R. 11 2020 Removal of spurious outlier frequencies and modes from isogeometric discretizations of second- and fourth-order problems in one, two, and three dimensions. Zbl 1507.65130 Hiemstra, René R.; Hughes, Thomas J. R.; Reali, Alessandro; Schillinger, Dominik 10 2021 A Tchebycheffian extension of multidegree B-splines: algorithmic computation and properties. Zbl 1437.41004 Hiemstra, René R.; Hughes, Thomas J. R.; Manni, Carla; Speleers, Hendrik; Toshniwal, Deepesh 9 2020 A matrix-free isogeometric Galerkin method for Karhunen-Loève approximation of random fields using tensor product splines, tensor contraction and interpolation based quadrature. Zbl 1506.74419 Mika, Michal L.; Hughes, Thomas J. R.; Schillinger, Dominik; Wriggers, Peter; Hiemstra, René R. 7 2021 The geometric basis of numerical methods. Zbl 1282.76119 Gerritsma, Marc; Hiemstra, René; Kreeft, Jasper; Palha, Artur; Rebelo, Pedro; Toshniwal, Deepesh 6 2014 A variational approach based on perturbed eigenvalue analysis for improving spectral properties of isogeometric multipatch discretizations. Zbl 1507.74501 Nguyen, Thi-Hoa; Hiemstra, René R.; Stoter, Stein K. F.; Schillinger, Dominik 5 2022 Leveraging spectral analysis to elucidate membrane locking and unlocking in isogeometric finite element formulations of the curved Euler-Bernoulli beam. Zbl 1507.74500 Nguyen, Thi-Hoa; Hiemstra, René R.; Schillinger, Dominik 3 2022 Variationally consistent mass scaling for explicit time-integration schemes of lower- and higher-order finite element methods. Zbl 1507.65191 Stoter, Stein K. F.; Nguyen, Thi-Hoa; Hiemstra, René R.; Schillinger, Dominik 3 2022 A comparison of matrix-free isogeometric Galerkin and collocation methods for Karhunen-Loève expansion. Zbl 1511.74065 Mika, Michal L.; Hiemstra, René R.; Schillinger, Dominik; Hughes, Thomas J. R. 1 2022 High order methods with exact conservation properties. Zbl 1426.76538 Hiemstra, René; Gerritsma, Marc 1 2014 A variational approach based on perturbed eigenvalue analysis for improving spectral properties of isogeometric multipatch discretizations. Zbl 1507.74501 Nguyen, Thi-Hoa; Hiemstra, René R.; Stoter, Stein K. F.; Schillinger, Dominik 5 2022 Leveraging spectral analysis to elucidate membrane locking and unlocking in isogeometric finite element formulations of the curved Euler-Bernoulli beam. Zbl 1507.74500 Nguyen, Thi-Hoa; Hiemstra, René R.; Schillinger, Dominik 3 2022 Variationally consistent mass scaling for explicit time-integration schemes of lower- and higher-order finite element methods. Zbl 1507.65191 Stoter, Stein K. F.; Nguyen, Thi-Hoa; Hiemstra, René R.; Schillinger, Dominik 3 2022 A comparison of matrix-free isogeometric Galerkin and collocation methods for Karhunen-Loève expansion. Zbl 1511.74065 Mika, Michal L.; Hiemstra, René R.; Schillinger, Dominik; Hughes, Thomas J. R. 1 2022 Removal of spurious outlier frequencies and modes from isogeometric discretizations of second- and fourth-order problems in one, two, and three dimensions. Zbl 1507.65130 Hiemstra, René R.; Hughes, Thomas J. R.; Reali, Alessandro; Schillinger, Dominik 10 2021 A matrix-free isogeometric Galerkin method for Karhunen-Loève approximation of random fields using tensor product splines, tensor contraction and interpolation based quadrature. Zbl 1506.74419 Mika, Michal L.; Hughes, Thomas J. R.; Schillinger, Dominik; Wriggers, Peter; Hiemstra, René R. 7 2021 Multi-degree B-splines: algorithmic computation and properties. Zbl 1453.65034 Toshniwal, Deepesh; Speleers, Hendrik; Hiemstra, René R.; Manni, Carla; Hughes, Thomas J. R. 16 2020 Towards untrimmed NURBS: CAD embedded reparameterization of trimmed B-rep geometry using frame-field guided global parameterization. Zbl 1506.65036 Hiemstra, René R.; Shepherd, Kendrick M.; Johnson, Michael J.; Quan, Lulin; Hughes, Thomas J. R. 11 2020 A Tchebycheffian extension of multidegree B-splines: algorithmic computation and properties. Zbl 1437.41004 Hiemstra, René R.; Hughes, Thomas J. R.; Manni, Carla; Speleers, Hendrik; Toshniwal, Deepesh 9 2020 Fast formation and assembly of finite element matrices with application to isogeometric linear elasticity. Zbl 1441.74244 Hiemstra, René R.; Sangalli, Giancarlo; Tani, Mattia; Calabrò, Francesco; Hughes, Thomas J. R. 26 2019 Explicit higher-order accurate isogeometric collocation methods for structural dynamics. Zbl 1440.74464 Evans, J. A.; Hiemstra, R. R.; Hughes, T. J. R.; Reali, A. 31 2018 Improved conditioning of isogeometric analysis matrices for trimmed geometries. Zbl 1440.74426 Marussig, Benjamin; Hiemstra, René; Hughes, Thomas J. R. 17 2018 Multi-degree smooth polar splines: a framework for geometric modeling and isogeometric analysis. Zbl 1439.65016 Toshniwal, Deepesh; Speleers, Hendrik; Hiemstra, René R.; Hughes, Thomas J. R. 49 2017 Optimal and reduced quadrature rules for tensor product and hierarchically refined splines in isogeometric analysis. Zbl 1439.65170 Hiemstra, René R.; Calabrò, Francesco; Schillinger, Dominik; Hughes, Thomas J. R. 48 2017 A collocated \(C^0\) finite element method: reduced quadrature perspective, cost comparison with standard finite elements, and explicit structural dynamics. Zbl 1352.74433 Schillinger, Dominik; Evans, John A.; Frischmann, Felix; Hiemstra, René R.; Hsu, Ming-Chen; Hughes, Thomas J. R. 15 2015 Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms. Zbl 1352.65629 Palha, Artur; Rebelo, Pedro Pinto; Hiemstra, René; Kreeft, Jasper; Gerritsma, Marc 33 2014 High order geometric methods with exact conservation properties. Zbl 1351.78055 Hiemstra, R. R.; Toshniwal, D.; Huijsmans, R. H. M.; Gerritsma, M. I. 21 2014 The geometric basis of numerical methods. Zbl 1282.76119 Gerritsma, Marc; Hiemstra, René; Kreeft, Jasper; Palha, Artur; Rebelo, Pedro; Toshniwal, Deepesh 6 2014 High order methods with exact conservation properties. Zbl 1426.76538 Hiemstra, René; Gerritsma, Marc 1 2014 all cited Publications top 5 cited Publications all top 5 Cited by 398 Authors 20 Hughes, Thomas J. R. 19 Gerritsma, Marc I. 19 Hiemstra, René R. 18 Palha, Artur 14 Schillinger, Dominik 14 Toshniwal, Deepesh 11 Speleers, Hendrik 10 Reali, Alessandro 9 Manni, Carla 9 Sangalli, Giancarlo 8 Kapl, Mario 7 Buffa, Annalisa 7 Jüttler, Bert 7 Takacs, Thomas 6 Antolin, Pablo 6 de Lorenzis, Laura 5 Barton, Michael H. 5 Beccari, Carolina Vittoria 5 Calo, Victor Manuel 5 Casciola, Giulio 5 Evans, John A. 5 Tani, Mattia 5 Vazquez, Rafael 5 Vitrih, Vito 5 Zhang, Yi 4 Anitescu, Cosmin 4 Cirak, Fehmi 4 Deng, Quanling 4 Giannelli, Carlotta 4 Jain, Varun 4 Kiendl, Josef 4 Klinkel, Sven 4 Kosinka, Jiří 4 Lipnikov, Konstantin N. 4 Mantzaflaris, Angelos 4 Manzini, Gianmarco 4 Marino, Enzo 4 Marussig, Benjamin 4 Nguyen, Thi-Hoa 4 Rabczuk, Timon 4 Rebelo, Pedro Pinto 4 Sande, Espen 4 Scholz, Felix 4 Stoter, Stein K. F. 4 Wang, Dongdong 4 Wei, Xiaodong 4 Wohlmuth, Barbara I. 3 Bochev, Pavel B. 3 Casquero, Hugo 3 de Prenter, Frits 3 Eldred, Christopher 3 Hsu, Ming-Chen 3 Li, Xin 3 Li, Xiwei 3 Pan, Maodong 3 Pavarino, Luca Franco 3 Peters, Jorg 3 Puzyrev, Vladimir 3 Shepherd, Kendrick M. 3 Simeon, Bernd 3 Van Brummelen, Harald 3 Verhoosel, Clemens V. 3 Zhang, Yongjie Jessica 2 Arf, Jeremias 2 Aronson, Ryan M. 2 Barendrecht, Pieter J. 2 Bastl, Bohumír 2 Bauer, Werner 2 Bazilevs, Yuri 2 Behnoudfar, Pouria 2 Behrens, Jorn 2 Bletzinger, Kai-Uwe 2 Brugnoli, Andrea 2 Calabró, Francesco 2 Chasapi, Margarita 2 Cotter, Colin John 2 Dede’, Luca 2 Desmet, Wim 2 Drzisga, Daniel 2 Dzwinel, Witold 2 Fahrendorf, Frederik 2 Garoni, Carlo 2 Gómez, Héctor J. 2 Gravenkamp, Hauke 2 Greco, Francesco 2 Hao, Peng 2 Harari, Isaac 2 Hashemian, Ali 2 Kamensky, David 2 Kanduč, Tadej 2 Kapidani, Bernard 2 Karčiauskas, Kęstutis 2 Keith, Brendan 2 Kłusek, Adrian 2 Kormann, Katharina 2 Kreeft, Jasper J. 2 Le Roux, Daniel Y. 2 Leidinger, Lukas F. 2 Liu, Ning 2 Loli, Gabriele ...and 298 more Authors all top 5 Cited in 31 Serials 115 Computer Methods in Applied Mechanics and Engineering 27 Journal of Computational Physics 14 Journal of Computational and Applied Mathematics 10 Computer Aided Geometric Design 9 Computers & Mathematics with Applications 8 Computational Mechanics 4 SIAM Journal on Scientific Computing 3 Applied Mathematics and Computation 3 International Journal for Numerical Methods in Engineering 3 SIAM Journal on Numerical Analysis 3 Advances in Computational Mathematics 2 ACM Transactions on Mathematical Software 2 Numerische Mathematik 2 Applied Mathematical Modelling 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Computer Physics Communications 1 Meccanica 1 Applied Numerical Mathematics 1 Journal of Scientific Computing 1 Applications of Mathematics 1 Numerical Algorithms 1 Journal of Nonlinear Science 1 Applied Mathematics. Series B (English Edition) 1 Fractional Calculus & Applied Analysis 1 Archives of Computational Methods in Engineering 1 Computational Methods in Applied Mathematics 1 International Journal of Numerical Analysis and Modeling 1 Communications in Mathematics and Statistics 1 Mathematics 1 AIMS Mathematics 1 SMAI Journal of Computational Mathematics all top 5 Cited in 25 Fields 212 Numerical analysis (65-XX) 83 Mechanics of deformable solids (74-XX) 28 Partial differential equations (35-XX) 24 Approximations and expansions (41-XX) 24 Fluid mechanics (76-XX) 9 Computer science (68-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Geophysics (86-XX) 7 Biology and other natural sciences (92-XX) 5 Mechanics of particles and systems (70-XX) 5 Optics, electromagnetic theory (78-XX) 4 Differential geometry (53-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year