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Schillinger, Dominik

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Author ID: schillinger.dominik Recent zbMATH articles by "Schillinger, Dominik"
Published as: Schillinger, D.; Schillinger, Dominik
Documents Indexed: 39 Publications since 2010

Publications by Year

Citations contained in zbMATH

30 Publications have been cited 1,008 times in 514 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 1348.65055
Schillinger, Dominik; Dedè, Luca; Scott, Michael A.; Evans, John A.; Borden, Michael J.; Rank, Ernst; Hughes, Thomas J. R.
173
2012
Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations. Zbl 1286.65174
Schillinger, Dominik; Evans, John A.; Reali, Alessandro; Scott, Michael A.; Hughes, Thomas J. R.
120
2013
An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves. Zbl 1423.74273
Kamensky, David; Hsu, Ming-Chen; Schillinger, Dominik; Evans, John A.; Aggarwal, Ankush; Bazilevs, Yuri; Sacks, Michael S.; Hughes, Thomas J. R.
107
2015
Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries. Zbl 1296.74013
Ruess, Martin; Schillinger, Dominik; Özcan, Ali I.; Rank, Ernst
78
2014
Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method. Zbl 1398.74401
Schillinger, 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 1352.65643
Ruess, M.; Schillinger, D.; Bazilevs, Y.; Varduhn, V.; Rank, E.
64
2013
Geometric modeling, isogeometric analysis and the finite cell method. Zbl 1348.74340
Rank, E.; Ruess, M.; Kollmannsberger, S.; Schillinger, D.; Düster, A.
63
2012
An unfitted hp-adaptive finite element method based on hierarchical B-splines for interface problems of complex geometry. Zbl 1230.74197
Schillinger, 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 1348.65056
Schillinger, Dominik; Ruess, Martin
49
2015
Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis. Zbl 1425.65177
Schillinger, Dominik; Hossain, Shaikh J.; Hughes, Thomas J. R.
49
2014
The \(hp\)-\(d\)-adaptive finite cell method for geometrically nonlinear problems of solid mechanics. Zbl 1242.74161
Schillinger, Dominik; Düster, Alexander; Rank, Ernst
47
2012
The tetrahedral finite cell method for fluids: immersogeometric analysis of turbulent flow around complex geometries. Zbl 1390.76372
Xu, 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 1311.74133
Zander, 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 1352.65558
Varduhn, Vasco; Hsu, Ming-Chen; Ruess, Martin; Schillinger, Dominik
19
2016
A parameter-free variational coupling approach for trimmed isogeometric thin shells. Zbl 1398.74333
Guo, Yujie; Ruess, Martin; Schillinger, Dominik
16
2017
Isogeometric collocation for phase-field fracture models. Zbl 1423.74848
Schillinger, Dominik; Borden, Michael J.; Stolarski, Henryk K.
12
2015
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.
8
2015
The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements. Zbl 1439.65192
Schillinger, 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 1440.74397
Guo, Yujie; Heller, Jason; Hughes, Thomas J. R.; Ruess, Martin; Schillinger, Dominik
5
2018
Variational boundary conditions based on the Nitsche method for fitted and unfitted isogeometric discretizations of the mechanically coupled Cahn-Hilliard equation. Zbl 1380.65293
Zhao, Ying; Schillinger, Dominik; Xu, Bai-Xiang
5
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.
3
2017
Buckling analysis of imperfect I-section beam-columns with stochastic shell finite elements. Zbl 1398.74400
Schillinger, 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 1441.74031
Han, 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 1416.65460
Nguyen, Lam H.; Schillinger, Dominik
2
2019
Geometrically accurate, efficient, and flexible quadrature techniques for the tetrahedral finite cell method. Zbl 1439.65195
Stavrev, 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 1227.74122
Schillinger, Dominik; Papadopoulos, Vissarion
2
2010
Embedded shell finite elements: solid-shell interaction, surface locking, and application to image-based bio-structures. Zbl 1440.74209
Schillinger, Dominik; Gangwar, Tarun; Gilmanov, Anvar; Heuschele, Jo D.; Stolarski, Henryk K.
1
2018
Residual-based variational multiscale modeling in a discontinuous Galerkin framework. Zbl 1433.65227
Stoter, 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 1439.76184
Stoter, Stein K. F.; Müller, Peter; Cicalese, Luca; Tuveri, Massimiliano; Schillinger, Dominik; Hughes, Thomas J. R.
1
2017
An immersogeometric method for the simulation of turbulent flow around complex geometries. Zbl 1356.76178
Xu, 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 1441.74031
Han, 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 1416.65460
Nguyen, Lam H.; Schillinger, Dominik
2
2019
Variationally consistent isogeometric analysis of trimmed thin shells at finite deformations, based on the STEP exchange format. Zbl 1440.74397
Guo, Yujie; Heller, Jason; Hughes, Thomas J. R.; Ruess, Martin; Schillinger, Dominik
5
2018
Embedded shell finite elements: solid-shell interaction, surface locking, and application to image-based bio-structures. Zbl 1440.74209
Schillinger, Dominik; Gangwar, Tarun; Gilmanov, Anvar; Heuschele, Jo D.; Stolarski, Henryk K.
1
2018
Residual-based variational multiscale modeling in a discontinuous Galerkin framework. Zbl 1433.65227
Stoter, 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 1398.74333
Guo, 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 1380.65293
Zhao, Ying; Schillinger, Dominik; Xu, Bai-Xiang
5
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.
3
2017
A diffuse interface method for the Navier-Stokes/Darcy equations: perfusion profile for a patient-specific human liver based on MRI scans. Zbl 1439.76184
Stoter, Stein K. F.; Müller, Peter; Cicalese, Luca; Tuveri, Massimiliano; Schillinger, Dominik; Hughes, Thomas J. R.
1
2017
The tetrahedral finite cell method for fluids: immersogeometric analysis of turbulent flow around complex geometries. Zbl 1390.76372
Xu, 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 1352.65558
Varduhn, 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 1439.65192
Schillinger, 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 1439.65195
Stavrev, 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 1356.76178
Xu, 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 1423.74273
Kamensky, David; Hsu, Ming-Chen; Schillinger, Dominik; Evans, John A.; Aggarwal, Ankush; Bazilevs, Yuri; Sacks, Michael S.; Hughes, Thomas J. R.
107
2015
The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models. Zbl 1348.65056
Schillinger, Dominik; Ruess, Martin
49
2015
Multi-level \(hp\)-adaptivity: high-order mesh adaptivity without the difficulties of constraining hanging nodes. Zbl 1311.74133
Zander, Nils; Bog, Tino; Kollmannsberger, Stefan; Schillinger, Dominik; Rank, Ernst
24
2015
Isogeometric collocation for phase-field fracture models. Zbl 1423.74848
Schillinger, Dominik; Borden, Michael J.; Stolarski, Henryk K.
12
2015
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.
8
2015
Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries. Zbl 1296.74013
Ruess, Martin; Schillinger, Dominik; Özcan, Ali I.; Rank, Ernst
78
2014
Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis. Zbl 1425.65177
Schillinger, Dominik; Hossain, Shaikh J.; Hughes, Thomas J. R.
49
2014
Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations. Zbl 1286.65174
Schillinger, Dominik; Evans, John A.; Reali, Alessandro; Scott, Michael A.; Hughes, Thomas J. R.
120
2013
Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method. Zbl 1352.65643
Ruess, 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 1348.65055
Schillinger, Dominik; Dedè, Luca; Scott, Michael A.; Evans, John A.; Borden, Michael J.; Rank, Ernst; Hughes, Thomas J. R.
173
2012
Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method. Zbl 1398.74401
Schillinger, Dominik; Ruess, Martin; Zander, Nils; Bazilevs, Yuri; Düster, Alexander; Rank, Ernst
69
2012
Geometric modeling, isogeometric analysis and the finite cell method. Zbl 1348.74340
Rank, E.; Ruess, M.; Kollmannsberger, S.; Schillinger, D.; Düster, A.
63
2012
The \(hp\)-\(d\)-adaptive finite cell method for geometrically nonlinear problems of solid mechanics. Zbl 1242.74161
Schillinger, Dominik; Düster, Alexander; Rank, Ernst
47
2012
An unfitted hp-adaptive finite element method based on hierarchical B-splines for interface problems of complex geometry. Zbl 1230.74197
Schillinger, Dominik; Rank, Ernst
52
2011
Buckling analysis of imperfect I-section beam-columns with stochastic shell finite elements. Zbl 1398.74400
Schillinger, Dominik; Papadopoulos, Vissarion; Bischoff, Manfred; Papadrakakis, Manolis
3
2010
Accurate estimation of evolutionary power spectra for strongly narrow-band random fields. Zbl 1227.74122
Schillinger, Dominik; Papadopoulos, Vissarion
2
2010
all top 5

Cited by 867 Authors

34 Bazilevs, Yuri
34 Schillinger, Dominik
28 Hughes, Thomas J. R.
26 Hsu, Ming-Chen
26 Takizawa, Kenji
26 Tezduyar, Tayfun E.
25 Rank, Ernst
24 Reali, Alessandro
19 Kollmannsberger, Stefan
16 Düster, Alexander
16 Jüttler, Bert
13 de Lorenzis, Laura
13 Kamensky, David
13 Kiendl, Josef
13 Rabczuk, Timon
12 Auricchio, Ferdinando
12 Buffa, Annalisa
12 Evans, John A.
12 Ruess, Martin
12 Sangalli, Giancarlo
11 Gómez, Héctor J.
11 Scott, Michael A.
10 Duczek, Sascha
10 Xu, Fei
9 Mantzaflaris, Angelos
8 Beirão da Veiga, Lourenço
8 Calo, Victor Manuel
8 Korobenko, Artem
8 Otoguro, Yuto
8 Vazquez, Rafael
8 Verhoosel, Clemens V.
8 Yan, Jinhui
8 Zander, Nils
7 Anitescu, Cosmin
7 Bordas, Stéphane Pierre Alain
7 Bouclier, Robin
7 Dede, Luca
7 Deng, Jiansong
7 Nguyen-Thanh, Nhon
7 Wang, Chenglong
6 Bletzinger, Kai-Uwe
6 Cirak, Fehmi
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 Antolin, Pablo
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 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 767 more Authors
all top 5

Cited in 46 Serials

248 Computer Methods in Applied Mechanics and Engineering
59 Computational Mechanics
32 Computers & Mathematics with Applications
24 Computers and Fluids
15 Journal of Computational Physics
15 International Journal for Numerical Methods in Engineering
14 Computer Aided Geometric Design
11 Journal of Computational and Applied Mathematics
10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 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 Journal of Fluid Mechanics
2 Mathematics and Computers in Simulation
2 Numerische Mathematik
2 Applied Numerical Mathematics
2 Engineering Analysis with Boundary Elements
2 Journal of Systems Science and Complexity
2 International Journal of Computational Methods
1 International Journal of Engineering Science
1 Wave Motion
1 Mathematics of Computation
1 SIAM Journal on Numerical Analysis
1 Numerical Methods for Partial Differential Equations
1 Numerical Algorithms
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

Citations by Year