An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces D Schillinger, L Dede, MA Scott, JA Evans, MJ Borden, E Rank, ... Computer Methods in Applied Mechanics and Engineering 249, 116-150, 2012 | 573 | 2012 |
An immersogeometric variational framework for fluid–structure interaction: Application to bioprosthetic heart valves D Kamensky, MC Hsu, D Schillinger, JA Evans, A Aggarwal, Y Bazilevs, ... Computer methods in applied mechanics and engineering 284, 1005-1053, 2015 | 510 | 2015 |
The Finite Cell Method: A review in the context of higher-order structural analysis of CAD and image-based geometric models D Schillinger, M Ruess Archives of Computational Methods in Engineering 22, 391-455, 2015 | 376 | 2015 |
Isogeometric collocation: Cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations D Schillinger, JA Evans, A Reali, MA Scott, TJR Hughes Computer Methods in Applied Mechanics and Engineering 267, 170-232, 2013 | 369 | 2013 |
Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries M Ruess, D Schillinger, AI Oezcan, E Rank Computer Methods in Applied Mechanics and Engineering 269, 46-71, 2014 | 294 | 2014 |
Geometric modeling, isogeometric analysis and the finite cell method E Rank, M Ruess, S Kollmannsberger, D Schillinger, A Düster Computer Methods in Applied Mechanics and Engineering 249, 104-115, 2012 | 241 | 2012 |
Weakly enforced essential boundary conditions for NURBS‐embedded and trimmed NURBS geometries on the basis of the finite cell method M Ruess, D Schillinger, Y Bazilevs, V Varduhn, E Rank International journal for numerical methods in engineering 95 (10), 811-846, 2013 | 233 | 2013 |
Small and large deformation analysis with the p- and B-spline versions of the Finite Cell Method D Schillinger, M Ruess, N Zander, Y Bazilevs, A Düster, E Rank Computational Mechanics 50, 445-478, 2012 | 228 | 2012 |
An unfitted hp-adaptive finite element method based on hierarchical B-splines for interface problems of complex geometry D Schillinger, E Rank Computer Methods in Applied Mechanics and Engineering 200 (47-48), 3358-3380, 2011 | 173 | 2011 |
Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis D Schillinger, SJ Hossain, TJR Hughes Computer Methods in Applied Mechanics and Engineering 277, 1-45, 2014 | 165 | 2014 |
The hp‐d‐adaptive finite cell method for geometrically nonlinear problems of solid mechanics D Schillinger, A Düster, E Rank International Journal for Numerical Methods in Engineering 89 (9), 1171-1202, 2012 | 143 | 2012 |
The tetrahedral finite cell method for fluids: Immersogeometric analysis of turbulent flow around complex geometries F Xu, D Schillinger, D Kamensky, V Varduhn, C Wang, MC Hsu Computers & Fluids 141, 135-154, 2016 | 140 | 2016 |
An interactive geometry modeling and parametric design platform for isogeometric analysis MC Hsu, C Wang, AJ Herrema, D Schillinger, A Ghoshal, Y Bazilevs Computers & Mathematics with Applications 70 (7), 1481-1500, 2015 | 133 | 2015 |
Multi-level hp-adaptivity: high-order mesh adaptivity without the difficulties of constraining hanging nodes N Zander, T Bog, S Kollmannsberger, D Schillinger, E Rank Computational Mechanics 55 (3), 499-517, 2015 | 132 | 2015 |
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 | 124 | 2017 |
Variationally consistent isogeometric analysis of trimmed thin shells at finite deformations, based on the STEP exchange format Y Guo, J Heller, TJR Hughes, M Ruess, D Schillinger Computer Methods in Applied Mechanics and Engineering 336, 39-79, 2018 | 110 | 2018 |
Isogeometric collocation for phase-field fracture models D Schillinger, MJ Borden, HK Stolarski Computer Methods in Applied Mechanics and Engineering 284, 583-610, 2015 | 109 | 2015 |
The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements D Schillinger, I Harari, MC Hsu, D Kamensky, SKF Stoter, Y Yu, Y Zhao Computer Methods in Applied Mechanics and Engineering 309, 625-652, 2016 | 108 | 2016 |
A parameter-free variational coupling approach for trimmed isogeometric thin shells Y Guo, M Ruess, D Schillinger Computational Mechanics 59, 693-715, 2017 | 81 | 2017 |
Lagrange extraction and projection for NURBS basis functions: A direct link between isogeometric and standard nodal finite element formulations D Schillinger, PK Ruthala, LH Nguyen International Journal for Numerical Methods in Engineering 108 (6), 515-534, 2016 | 77 | 2016 |