Edit Profile Schillinger, Dominik Compute Distance To: Compute Author ID: schillinger.dominik Published as: Schillinger, D.; Schillinger, Dominik Documents Indexed: 38 Publications since 2010 all top 5 Co-Authors 0 single-authored 8 Hughes, Thomas J. R. 8 Rank, Ernst 8 Ruess, Martin 7 Hsu, Ming-Chen 5 Varduhn, Vasco 4 Bazilevs, Yuri 4 Evans, John A. 4 Kamensky, David 4 Nguyen, Lam H. 4 Stoter, Stein K. F. 3 Düster, Alexander 3 Papadopoulos, Vissarion 3 Wang, Chenglong 2 Borden, Michael J. 2 Guo, Yujie 2 Hiemstra, René R. 2 Kollmannsberger, Stefan 2 Mogilevskaya, Sofia G. 2 Scott, Michael A. 2 Stolarski, Henryk K. 2 Xu, Fei 2 Zander, Nils 2 Zhao, Ying 1 Aggarwal, Ankush 1 Baranova, S. 1 Behr, Marek A. 1 Bischoff, Manfred 1 Bog, Tino 1 Bui, Hoang-Giang 1 Calabró, Francesco 1 Cheng, Changzheng 1 Cicalese, Luca 1 Darling, Carolyn N. 1 Dede, Luca 1 Elgeti, Stefanie 1 Frischmann, Felix 1 Gangwar, Tarun 1 Gebhardt, Cristian Guillermo 1 Ghoshal, Anindya 1 Gilmanov, Anvar 1 Han, Zhilin 1 Harari, Isaac 1 Heller, Jason 1 Herrema, Austin J. 1 Heuschele, Jo D. 1 Hossain, Shaikh Jahangir 1 Hulshoff, Steven J. 1 Mantzaflaris, Angelos 1 Meschke, Günther 1 Müller, Peter 1 Nguyen, Tuan H. A. 1 Özcan, Ali I. 1 Papadrakakis, Manolis 1 Reali, Alessandro 1 Rolfes, Raimund 1 Sacks, Michael S. 1 Shen, Ruyi 1 Sotomayor-Rinaldi, Bryann 1 Stavrev, Atanas 1 Steinbach, Marc Christian 1 Sun, Haohan 1 Turteltaub, Sergio R. 1 Tuveri, Massimiliano 1 Wasion, Sean A. 1 Wu, Chien-Ting 1 Xu, Baixiang 1 Yu, Yue 1 Yuan, Si all top 5 Serials 20 Computer Methods in Applied Mechanics and Engineering 5 Computational Mechanics 4 International Journal for Numerical Methods in Engineering 2 Journal of Computational Physics 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 International Journal of Engineering Science 1 Archives of Computational Methods in Engineering 1 Multiscale Modeling & Simulation all top 5 Fields 31 Numerical analysis (65-XX) 21 Mechanics of deformable solids (74-XX) 7 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 30 Publications have been cited 985 times in 500 Documents Cited by ▼ Year ▼ An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces. Zbl 1348.65055Schillinger, Dominik; Dedè, Luca; Scott, Michael A.; Evans, John A.; Borden, Michael J.; Rank, Ernst; Hughes, Thomas J. R. 170 2012 Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations. Zbl 1286.65174Schillinger, Dominik; Evans, John A.; Reali, Alessandro; Scott, Michael A.; Hughes, Thomas J. R. 115 2013 An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves. Zbl 1423.74273Kamensky, David; Hsu, Ming-Chen; Schillinger, Dominik; Evans, John A.; Aggarwal, Ankush; Bazilevs, Yuri; Sacks, Michael S.; Hughes, Thomas J. R. 103 2015 Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries. Zbl 1296.74013Ruess, Martin; Schillinger, Dominik; Özcan, Ali I.; Rank, Ernst 77 2014 Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method. Zbl 1398.74401Schillinger, Dominik; Ruess, Martin; Zander, Nils; Bazilevs, Yuri; Düster, Alexander; Rank, Ernst 69 2012 Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method. Zbl 1352.65643Ruess, M.; Schillinger, D.; Bazilevs, Y.; Varduhn, V.; Rank, E. 64 2013 Geometric modeling, isogeometric analysis and the finite cell method. Zbl 1348.74340Rank, E.; Ruess, M.; Kollmannsberger, S.; Schillinger, D.; Düster, A. 62 2012 An unfitted hp-adaptive finite element method based on hierarchical B-splines for interface problems of complex geometry. Zbl 1230.74197Schillinger, Dominik; Rank, Ernst 52 2011 The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models. Zbl 1348.65056Schillinger, Dominik; Ruess, Martin 49 2015 Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis. Zbl 1425.65177Schillinger, Dominik; Hossain, Shaikh J.; Hughes, Thomas J. R. 47 2014 The \(hp\)-\(d\)-adaptive finite cell method for geometrically nonlinear problems of solid mechanics. Zbl 1242.74161Schillinger, Dominik; Düster, Alexander; Rank, Ernst 46 2012 The tetrahedral finite cell method for fluids: immersogeometric analysis of turbulent flow around complex geometries. Zbl 1390.76372Xu, Fei; Schillinger, Dominik; Kamensky, David; Varduhn, Vasco; Wang, Chenglong; Hsu, Ming-Chen 24 2016 Multi-level \(hp\)-adaptivity: high-order mesh adaptivity without the difficulties of constraining hanging nodes. Zbl 1311.74133Zander, Nils; Bog, Tino; Kollmannsberger, Stefan; Schillinger, Dominik; Rank, Ernst 24 2015 The tetrahedral finite cell method: higher-order immersogeometric analysis on adaptive non-boundary-fitted meshes. Zbl 1352.65558Varduhn, Vasco; Hsu, Ming-Chen; Ruess, Martin; Schillinger, Dominik 19 2016 A parameter-free variational coupling approach for trimmed isogeometric thin shells. Zbl 1398.74333Guo, Yujie; Ruess, Martin; Schillinger, Dominik 16 2017 Isogeometric collocation for phase-field fracture models. Zbl 1423.74848Schillinger, Dominik; Borden, Michael J.; Stolarski, Henryk K. 11 2015 A collocated \(C^0\) finite element method: reduced quadrature perspective, cost comparison with standard finite elements, and explicit structural dynamics. Zbl 1352.74433Schillinger, Dominik; Evans, John A.; Frischmann, Felix; Hiemstra, René R.; Hsu, Ming-Chen; Hughes, Thomas J. R. 8 2015 The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements. Zbl 1439.65192Schillinger, Dominik; Harari, Isaac; Hsu, Ming-Chen; Kamensky, David; Stoter, Stein K. F.; Yu, Yue; Zhao, Ying 6 2016 Variationally consistent isogeometric analysis of trimmed thin shells at finite deformations, based on the STEP exchange format. Zbl 1440.74397Guo, Yujie; Heller, Jason; Hughes, Thomas J. R.; Ruess, Martin; Schillinger, Dominik 4 2018 Variational boundary conditions based on the Nitsche method for fitted and unfitted isogeometric discretizations of the mechanically coupled Cahn-Hilliard equation. Zbl 1380.65293Zhao, Ying; Schillinger, Dominik; Xu, Bai-Xiang 4 2017 Buckling analysis of imperfect I-section beam-columns with stochastic shell finite elements. Zbl 1398.74400Schillinger, Dominik; Papadopoulos, Vissarion; Bischoff, Manfred; Papadrakakis, Manolis 3 2010 Consistent discretization of higher-order interface models for thin layers and elastic material surfaces, enabled by isogeometric cut-cell methods. Zbl 1441.74031Han, Zhilin; Stoter, Stein K. F.; Wu, Chien-Ting; Cheng, Changzheng; Mantzaflaris, Angelos; Mogilevskaya, Sofia G.; Schillinger, Dominik 2 2019 Geometrically accurate, efficient, and flexible quadrature techniques for the tetrahedral finite cell method. Zbl 1439.65195Stavrev, Atanas; Nguyen, Lam H.; Shen, Ruyi; Varduhn, Vasco; Behr, Marek; Elgeti, Stefanie; Schillinger, Dominik 2 2016 Accurate estimation of evolutionary power spectra for strongly narrow-band random fields. Zbl 1227.74122Schillinger, Dominik; Papadopoulos, Vissarion 2 2010 A residual-driven local iterative corrector scheme for the multiscale finite element method. Zbl 1416.65460Nguyen, Lam H.; Schillinger, Dominik 1 2019 Embedded shell finite elements: solid-shell interaction, surface locking, and application to image-based bio-structures. Zbl 1440.74209Schillinger, Dominik; Gangwar, Tarun; Gilmanov, Anvar; Heuschele, Jo D.; Stolarski, Henryk K. 1 2018 Residual-based variational multiscale modeling in a discontinuous Galerkin framework. Zbl 1433.65227Stoter, Stein K. F.; Turteltaub, Sergio R.; Hulshoff, Steven J.; Schillinger, Dominik 1 2018 A diffuse interface method for the Navier-Stokes/Darcy equations: perfusion profile for a patient-specific human liver based on MRI scans. Zbl 1439.76184Stoter, Stein K. F.; Müller, Peter; Cicalese, Luca; Tuveri, Massimiliano; Schillinger, Dominik; Hughes, Thomas J. R. 1 2017 Optimal and reduced quadrature rules for tensor product and hierarchically refined splines in isogeometric analysis. Zbl 1439.65170Hiemstra, René R.; Calabrò, Francesco; Schillinger, Dominik; Hughes, Thomas J. R. 1 2017 An immersogeometric method for the simulation of turbulent flow around complex geometries. Zbl 1356.76178Xu, Fei; Kamensky, David; Varduhn, Vasco; Wang, Chenglong; Wasion, Sean A.; Sotomayor-Rinaldi, Bryann; Darling, Carolyn N.; Schillinger, Dominik; Hsu, Ming-Chen 1 2016 Consistent discretization of higher-order interface models for thin layers and elastic material surfaces, enabled by isogeometric cut-cell methods. Zbl 1441.74031Han, Zhilin; Stoter, Stein K. F.; Wu, Chien-Ting; Cheng, Changzheng; Mantzaflaris, Angelos; Mogilevskaya, Sofia G.; Schillinger, Dominik 2 2019 A residual-driven local iterative corrector scheme for the multiscale finite element method. Zbl 1416.65460Nguyen, Lam H.; Schillinger, Dominik 1 2019 Variationally consistent isogeometric analysis of trimmed thin shells at finite deformations, based on the STEP exchange format. Zbl 1440.74397Guo, Yujie; Heller, Jason; Hughes, Thomas J. R.; Ruess, Martin; Schillinger, Dominik 4 2018 Embedded shell finite elements: solid-shell interaction, surface locking, and application to image-based bio-structures. Zbl 1440.74209Schillinger, Dominik; Gangwar, Tarun; Gilmanov, Anvar; Heuschele, Jo D.; Stolarski, Henryk K. 1 2018 Residual-based variational multiscale modeling in a discontinuous Galerkin framework. Zbl 1433.65227Stoter, Stein K. F.; Turteltaub, Sergio R.; Hulshoff, Steven J.; Schillinger, Dominik 1 2018 A parameter-free variational coupling approach for trimmed isogeometric thin shells. Zbl 1398.74333Guo, Yujie; Ruess, Martin; Schillinger, Dominik 16 2017 Variational boundary conditions based on the Nitsche method for fitted and unfitted isogeometric discretizations of the mechanically coupled Cahn-Hilliard equation. Zbl 1380.65293Zhao, Ying; Schillinger, Dominik; Xu, Bai-Xiang 4 2017 A diffuse interface method for the Navier-Stokes/Darcy equations: perfusion profile for a patient-specific human liver based on MRI scans. Zbl 1439.76184Stoter, Stein K. F.; Müller, Peter; Cicalese, Luca; Tuveri, Massimiliano; Schillinger, Dominik; Hughes, Thomas J. R. 1 2017 Optimal and reduced quadrature rules for tensor product and hierarchically refined splines in isogeometric analysis. Zbl 1439.65170Hiemstra, René R.; Calabrò, Francesco; Schillinger, Dominik; Hughes, Thomas J. R. 1 2017 The tetrahedral finite cell method for fluids: immersogeometric analysis of turbulent flow around complex geometries. Zbl 1390.76372Xu, Fei; Schillinger, Dominik; Kamensky, David; Varduhn, Vasco; Wang, Chenglong; Hsu, Ming-Chen 24 2016 The tetrahedral finite cell method: higher-order immersogeometric analysis on adaptive non-boundary-fitted meshes. Zbl 1352.65558Varduhn, Vasco; Hsu, Ming-Chen; Ruess, Martin; Schillinger, Dominik 19 2016 The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements. Zbl 1439.65192Schillinger, Dominik; Harari, Isaac; Hsu, Ming-Chen; Kamensky, David; Stoter, Stein K. F.; Yu, Yue; Zhao, Ying 6 2016 Geometrically accurate, efficient, and flexible quadrature techniques for the tetrahedral finite cell method. Zbl 1439.65195Stavrev, Atanas; Nguyen, Lam H.; Shen, Ruyi; Varduhn, Vasco; Behr, Marek; Elgeti, Stefanie; Schillinger, Dominik 2 2016 An immersogeometric method for the simulation of turbulent flow around complex geometries. Zbl 1356.76178Xu, Fei; Kamensky, David; Varduhn, Vasco; Wang, Chenglong; Wasion, Sean A.; Sotomayor-Rinaldi, Bryann; Darling, Carolyn N.; Schillinger, Dominik; Hsu, Ming-Chen 1 2016 An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves. Zbl 1423.74273Kamensky, David; Hsu, Ming-Chen; Schillinger, Dominik; Evans, John A.; Aggarwal, Ankush; Bazilevs, Yuri; Sacks, Michael S.; Hughes, Thomas J. R. 103 2015 The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models. Zbl 1348.65056Schillinger, Dominik; Ruess, Martin 49 2015 Multi-level \(hp\)-adaptivity: high-order mesh adaptivity without the difficulties of constraining hanging nodes. Zbl 1311.74133Zander, Nils; Bog, Tino; Kollmannsberger, Stefan; Schillinger, Dominik; Rank, Ernst 24 2015 Isogeometric collocation for phase-field fracture models. Zbl 1423.74848Schillinger, Dominik; Borden, Michael J.; Stolarski, Henryk K. 11 2015 A collocated \(C^0\) finite element method: reduced quadrature perspective, cost comparison with standard finite elements, and explicit structural dynamics. Zbl 1352.74433Schillinger, Dominik; Evans, John A.; Frischmann, Felix; Hiemstra, René R.; Hsu, Ming-Chen; Hughes, Thomas J. R. 8 2015 Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries. Zbl 1296.74013Ruess, Martin; Schillinger, Dominik; Özcan, Ali I.; Rank, Ernst 77 2014 Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis. Zbl 1425.65177Schillinger, Dominik; Hossain, Shaikh J.; Hughes, Thomas J. R. 47 2014 Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations. Zbl 1286.65174Schillinger, Dominik; Evans, John A.; Reali, Alessandro; Scott, Michael A.; Hughes, Thomas J. R. 115 2013 Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method. Zbl 1352.65643Ruess, M.; Schillinger, D.; Bazilevs, Y.; Varduhn, V.; Rank, E. 64 2013 An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces. Zbl 1348.65055Schillinger, Dominik; Dedè, Luca; Scott, Michael A.; Evans, John A.; Borden, Michael J.; Rank, Ernst; Hughes, Thomas J. R. 170 2012 Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method. Zbl 1398.74401Schillinger, Dominik; Ruess, Martin; Zander, Nils; Bazilevs, Yuri; Düster, Alexander; Rank, Ernst 69 2012 Geometric modeling, isogeometric analysis and the finite cell method. Zbl 1348.74340Rank, E.; Ruess, M.; Kollmannsberger, S.; Schillinger, D.; Düster, A. 62 2012 The \(hp\)-\(d\)-adaptive finite cell method for geometrically nonlinear problems of solid mechanics. Zbl 1242.74161Schillinger, Dominik; Düster, Alexander; Rank, Ernst 46 2012 An unfitted hp-adaptive finite element method based on hierarchical B-splines for interface problems of complex geometry. Zbl 1230.74197Schillinger, Dominik; Rank, Ernst 52 2011 Buckling analysis of imperfect I-section beam-columns with stochastic shell finite elements. Zbl 1398.74400Schillinger, Dominik; Papadopoulos, Vissarion; Bischoff, Manfred; Papadrakakis, Manolis 3 2010 Accurate estimation of evolutionary power spectra for strongly narrow-band random fields. Zbl 1227.74122Schillinger, Dominik; Papadopoulos, Vissarion 2 2010 all cited Publications top 5 cited Publications all top 5 Cited by 851 Authors 34 Bazilevs, Yuri 33 Schillinger, Dominik 28 Hughes, Thomas J. R. 26 Hsu, Ming-Chen 25 Rank, Ernst 25 Takizawa, Kenji 25 Tezduyar, Tayfun E. 24 Reali, Alessandro 19 Kollmannsberger, Stefan 16 Düster, Alexander 15 Jüttler, Bert 13 de Lorenzis, Laura 13 Kamensky, David 13 Kiendl, Josef 12 Auricchio, Ferdinando 12 Evans, John A. 12 Rabczuk, Timon 12 Ruess, Martin 12 Sangalli, Giancarlo 12 Scott, Michael A. 11 Buffa, Annalisa 11 Gómez, Héctor J. 10 Duczek, Sascha 10 Xu, Fei 8 Beirão da Veiga, Lourenço 8 Calo, Victor Manuel 8 Korobenko, Artem 8 Mantzaflaris, Angelos 8 Vazquez, Rafael 8 Verhoosel, Clemens V. 8 Yan, Jinhui 8 Zander, Nils 7 Anitescu, Cosmin 7 Bouclier, Robin 7 Dede, Luca 7 Nguyen-Thanh, Nhon 7 Otoguro, Yuto 7 Wang, Chenglong 6 Bletzinger, Kai-Uwe 6 Bordas, Stéphane Pierre Alain 6 Cirak, Fehmi 6 Deng, Jiansong 6 Gabbert, Ulrich 6 Harari, Isaac 6 Landis, Chad M. 6 Quarteroni, Alfio M. 6 Van Brummelen, Harald 6 Wu, Michael C. H. 6 Wüchner, Roland 6 Zhang, Weihong 5 Borden, Michael J. 5 Bouabdallah, Samir 5 Calabró, Francesco 5 Casquero, Hugo 5 Giannelli, Carlotta 5 Guo, Yujie 5 Hiemstra, René R. 5 Jiang, Wen 5 Johannessen, Kjetil André 5 Joulaian, Meysam 5 Klinkel, Sven 5 Kvamsdal, Trond 5 Li, Xin 5 Maitournam, Habibou M. 5 Marino, Enzo 5 Özcan, Ali I. 5 Passieux, Jean-Charles 5 Perić, Djordje 5 Sauer, Roger A. 5 Thomas, Derek C. 5 Wriggers, Peter 5 Zhang, Yongjie Jessica 5 Zhuang, Xiaoying 4 Antolin, Pablo 4 Badia, Santiago 4 Benson, David J. 4 Bog, Tino 4 Cai, Shouyu 4 Dettmer, Wulf G. 4 Dornisch, Wolfgang 4 Fernández, Miguel Ángel 4 Fries, Thomas-Peter 4 Gómez, Héctor W. 4 Gravenkamp, Hauke 4 Hu, Ping 4 Hubrich, Simeon 4 Kadapa, Chennakesava 4 Kim, Tae-Yeon 4 Kudela, László 4 Kuraishi, Takashi 4 Manni, Carla 4 Massing, André 4 Sasaki, Takafumi 4 Speleers, Hendrik 4 Stoter, Stein K. F. 4 Tani, Mattia 4 Temizer, Ilker 4 Terahara, Takuya 4 Varduhn, Vasco 4 Verdugo, Francesc ...and 751 more Authors all top 5 Cited in 43 Serials 248 Computer Methods in Applied Mechanics and Engineering 58 Computational Mechanics 32 Computers & Mathematics with Applications 24 Computers and Fluids 15 International Journal for Numerical Methods in Engineering 14 Computer Aided Geometric Design 10 Journal of Computational Physics 10 Journal of Computational and Applied Mathematics 10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 SIAM Journal on Scientific Computing 6 European Journal of Mechanics. A. Solids 5 Meccanica 5 Journal of Scientific Computing 5 Applied Mathematical Modelling 3 Applied Mathematics and Computation 3 Archives of Computational Methods in Engineering 3 Communications in Mathematics and Statistics 2 Acta Mechanica 2 Numerische Mathematik 2 Applied Numerical Mathematics 2 Engineering Analysis with Boundary Elements 2 International Journal of Computational Methods 1 International Journal of Engineering Science 1 Journal of Fluid Mechanics 1 Wave Motion 1 Mathematics of Computation 1 SIAM Journal on Numerical Analysis 1 Numerical Methods for Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 Computational and Applied Mathematics 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems 1 Mathematics and Mechanics of Solids 1 Nonlinear Dynamics 1 Chaos 1 Journal of Applied Mathematics and Computing 1 Multiscale Modeling & Simulation 1 Acta Numerica 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 GAMM-Mitteilungen 1 Acta Mechanica Sinica 1 Discrete and Continuous Dynamical Systems. Series S 1 Science China. Mathematics all top 5 Cited in 23 Fields 408 Numerical analysis (65-XX) 273 Mechanics of deformable solids (74-XX) 89 Fluid mechanics (76-XX) 37 Partial differential equations (35-XX) 17 Approximations and expansions (41-XX) 16 Biology and other natural sciences (92-XX) 7 Geophysics (86-XX) 6 Computer science (68-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Mechanics of particles and systems (70-XX) 4 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year