Ph.D. Rene Hiemstra
My research focus is on the development and implementation of novel discretization techniques to overcome limitations of today's standard numerical methods in computational structural and fluid mechanics. A central theme in all my research is the improvement of the design-to-analysis process by means of isogeometric analysis. Within this context I have worked on higher order accurate compatible discretization techniques for computational fluid dynamics, developed scalable and efficient formation and assembly techniques for both fluids and structures, and developed surface meshing techniques that improve the exchange between computer aided design (CAD), finite element analysis (FEA) and computer aided manufacturing (CAM).
Hiemstra, RR ., Hughes, TJ, Manni, C., Speleers, H. and Toshniwal, D., 2020. A Tchebycheffian Extension of Multidegree B-Splines: Algorithmic Computation and Properties. SIAM Journal on Numerical Analysis, 58 (2), pp.1138-1163.
Toshniwal, D., Speleers, H., Hiemstra, RR ., Manni, C. and Hughes, TJ, 2020. Multi-degree B-splines: Algorithmic computation and properties. Computer Aided Geometric Design, 76, p.101792.
Hiemstra, RR , Sangalli, G., Tani, M., Calabrò, F. and Hughes, TJ, 2019. Fast formation and assembly of finite element matrices with application to isogeometric linear elasticity. Computer Methods in Applied Mechanics and Engineering, 355, pp.234-260.
Evans, JA, Hiemstra, RR , Hughes, TJ and Reali, A., 2018. Explicit higher-order accurate isogeometric collocation methods for structural dynamics. Computer Methods in Applied Mechanics and Engineering, 338, pp.208-240.
Marussig, B., Hiemstra, R. and Hughes, TJ, 2018. Improved conditioning of isogeometric analysis matrices for trimmed geometries. Computer Methods in Applied Mechanics and Engineering, 334, pp.79-110.
Toshniwal, D., Speleers, H., Hiemstra, RR and Hughes, TJ, 2017. Multi-degree smooth polar splines: A framework for geometric modeling and isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, 316, pp.1005-1061.
Hiemstra, RR , Calabro, F., Schillinger, D. and Hughes, TJ, 2017. Optimal and reduced quadrature rules for tensor product and hierarchically refined splines in isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, 316, pp.966-1004.
Schillinger, D., Evans, JA, Frischmann, F., Hiemstra, RR , Hsu, MC and Hughes, TJ, 2015. A collocated C0 finite element method: Reduced quadrature perspective, cost comparison with standard finite elements, and explicit structural dynamics. International Journal for Numerical Methods in Engineering, 102 (3-4), pp.576-631.
Hiemstra, RR , Toshniwal, D., Huijsmans, RHM and Gerritsma, MI, 2014. High order geometric methods with exact conservation properties. Journal of Computational Physics, 257, pp.1444-1471.
Palha, A., Rebelo, PP, Hiemstra, R. , Kreeft, J. and Gerritsma, M., 2014. Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms. Journal of Computational Physics, 257, pp.1394-1422.