Hiemstra, René R.; Fuentes, Federico; Schillinger, Dominik Fourier analysis of membrane locking and unlocking. (English) Zbl 07788095 Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116353, 35 p. (2023). MSC: 74-XX 92-XX PDFBibTeX XMLCite \textit{R. R. Hiemstra} et al., Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116353, 35 p. (2023; Zbl 07788095) Full Text: DOI arXiv
Nguyen, Thi-Hoa; Hiemstra, René R.; Schillinger, Dominik Leveraging spectral analysis to elucidate membrane locking and unlocking in isogeometric finite element formulations of the curved Euler-Bernoulli beam. (English) Zbl 1507.74500 Comput. Methods Appl. Mech. Eng. 388, Article ID 114240, 35 p. (2022). MSC: 74S05 65N30 74K10 PDFBibTeX XMLCite \textit{T.-H. Nguyen} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114240, 35 p. (2022; Zbl 1507.74500) Full Text: DOI arXiv
Gebhardt, Cristian Guillermo; Schillinger, Dominik; Steinbach, Marc Christian; Rolfes, Raimund A framework for data-driven structural analysis in general elasticity based on nonlinear optimization: the static case. (English) Zbl 1442.74227 Comput. Methods Appl. Mech. Eng. 365, Article ID 112993, 27 p. (2020). MSC: 74S05 65N30 74Bxx 74P10 PDFBibTeX XMLCite \textit{C. G. Gebhardt} et al., Comput. Methods Appl. Mech. Eng. 365, Article ID 112993, 27 p. (2020; Zbl 1442.74227) Full Text: DOI arXiv
Nguyen, Lam H.; Schillinger, Dominik A residual-driven local iterative corrector scheme for the multiscale finite element method. (English) Zbl 1416.65460 J. Comput. Phys. 377, 60-88 (2019). MSC: 65N30 65Y05 35J15 PDFBibTeX XMLCite \textit{L. H. Nguyen} and \textit{D. Schillinger}, J. Comput. Phys. 377, 60--88 (2019; Zbl 1416.65460) Full Text: DOI
Guo, Yujie; Heller, Jason; Hughes, Thomas J. R.; Ruess, Martin; Schillinger, Dominik Variationally consistent isogeometric analysis of trimmed thin shells at finite deformations, based on the STEP exchange format. (English) Zbl 1440.74397 Comput. Methods Appl. Mech. Eng. 336, 39-79 (2018). MSC: 74S05 65N30 65D07 74K25 PDFBibTeX XMLCite \textit{Y. Guo} et al., Comput. Methods Appl. Mech. Eng. 336, 39--79 (2018; Zbl 1440.74397) Full Text: DOI
Nguyen, Lam H.; Schillinger, Dominik A multiscale predictor/corrector scheme for efficient elastoplastic voxel finite element analysis, with application to CT-based bone strength prediction. (English) Zbl 1439.74206 Comput. Methods Appl. Mech. Eng. 330, 598-628 (2018). MSC: 74L15 74S05 65N30 74C05 PDFBibTeX XMLCite \textit{L. H. Nguyen} and \textit{D. Schillinger}, Comput. Methods Appl. Mech. Eng. 330, 598--628 (2018; Zbl 1439.74206) Full Text: DOI
Stoter, Stein K. F.; Müller, Peter; Cicalese, Luca; Tuveri, Massimiliano; Schillinger, Dominik; Hughes, Thomas J. R. A diffuse interface method for the Navier-Stokes/Darcy equations: perfusion profile for a patient-specific human liver based on MRI scans. (English) Zbl 1439.76184 Comput. Methods Appl. Mech. Eng. 321, 70-102 (2017). MSC: 76Z05 74F10 92C55 PDFBibTeX XMLCite \textit{S. K. F. Stoter} et al., Comput. Methods Appl. Mech. Eng. 321, 70--102 (2017; Zbl 1439.76184) Full Text: DOI
Guo, Yujie; Ruess, Martin; Schillinger, Dominik A parameter-free variational coupling approach for trimmed isogeometric thin shells. (English) Zbl 1398.74333 Comput. Mech. 59, No. 4, 693-715 (2017). MSC: 74S05 65N30 65D17 76M10 65N15 PDFBibTeX XMLCite \textit{Y. Guo} et al., Comput. Mech. 59, No. 4, 693--715 (2017; Zbl 1398.74333) Full Text: DOI Link
Xu, Fei; Schillinger, Dominik; Kamensky, David; Varduhn, Vasco; Wang, Chenglong; Hsu, Ming-Chen The tetrahedral finite cell method for fluids: immersogeometric analysis of turbulent flow around complex geometries. (English) Zbl 1390.76372 Comput. Fluids 141, 135-154 (2016). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{F. Xu} et al., Comput. Fluids 141, 135--154 (2016; Zbl 1390.76372) Full Text: DOI Link
Xu, Fei; Kamensky, David; Varduhn, Vasco; Wang, Chenglong; Wasion, Sean A.; Sotomayor-Rinaldi, Bryann; Darling, Carolyn N.; Schillinger, Dominik; Hsu, Ming-Chen An immersogeometric method for the simulation of turbulent flow around complex geometries. (English) Zbl 1356.76178 Bazilevs, Yuri (ed.) et al., Advances in computational fluid-structure interaction and flow simulation. New methods and challenging computations. Based on the presentations at the conference, AFSI, Tokyo, Japan, March 19–21, 2014. Basel: Birkhäuser/Springer (ISBN 978-3-319-40825-5/hbk; 978-3-319-40827-9/ebook). Modeling and Simulation in Science, Engineering and Technology, 111-125 (2016). MSC: 76M10 76F10 PDFBibTeX XMLCite \textit{F. Xu} et al., in: Advances in computational fluid-structure interaction and flow simulation. New methods and challenging computations. Based on the presentations at the conference, AFSI, Tokyo, Japan, March 19--21, 2014. Basel: Birkhäuser/Springer. 111--125 (2016; Zbl 1356.76178) Full Text: DOI
Kamensky, David; Hsu, Ming-Chen; Schillinger, Dominik; Evans, John A.; Aggarwal, Ankush; Bazilevs, Yuri; Sacks, Michael S.; Hughes, Thomas J. R. An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves. (English) Zbl 1423.74273 Comput. Methods Appl. Mech. Eng. 284, 1005-1053 (2015). MSC: 74F10 65D17 65N30 76Z05 92C35 PDFBibTeX XMLCite \textit{D. Kamensky} et al., Comput. Methods Appl. Mech. Eng. 284, 1005--1053 (2015; Zbl 1423.74273) Full Text: DOI
Schillinger, Dominik; Evans, John A.; Frischmann, Felix; Hiemstra, René R.; Hsu, Ming-Chen; Hughes, Thomas J. R. A collocated \(C^0\) finite element method: reduced quadrature perspective, cost comparison with standard finite elements, and explicit structural dynamics. (English) Zbl 1352.74433 Int. J. Numer. Methods Eng. 102, No. 3-4, 576-631 (2015). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{D. Schillinger} et al., Int. J. Numer. Methods Eng. 102, No. 3--4, 576--631 (2015; Zbl 1352.74433) Full Text: DOI
Schillinger, Dominik; Ruess, Martin The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models. (English) Zbl 1348.65056 Arch. Comput. Methods Eng. 22, No. 3, 391-455 (2015). MSC: 65D17 65N30 PDFBibTeX XMLCite \textit{D. Schillinger} and \textit{M. Ruess}, Arch. Comput. Methods Eng. 22, No. 3, 391--455 (2015; Zbl 1348.65056) Full Text: DOI
Schillinger, Dominik; Hossain, Shaikh J.; Hughes, Thomas J. R. Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis. (English) Zbl 1425.65177 Comput. Methods Appl. Mech. Eng. 277, 1-45 (2014). MSC: 65N30 65D17 65D30 PDFBibTeX XMLCite \textit{D. Schillinger} et al., Comput. Methods Appl. Mech. Eng. 277, 1--45 (2014; Zbl 1425.65177) Full Text: DOI
Schillinger, Dominik; Evans, John A.; Reali, Alessandro; Scott, Michael A.; Hughes, Thomas J. R. Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations. (English) Zbl 1286.65174 Comput. Methods Appl. Mech. Eng. 267, 170-232 (2013). MSC: 65N35 65D07 PDFBibTeX XMLCite \textit{D. Schillinger} et al., Comput. Methods Appl. Mech. Eng. 267, 170--232 (2013; Zbl 1286.65174) Full Text: DOI
Schillinger, Dominik; Dedè, Luca; Scott, Michael A.; Evans, John A.; Borden, Michael J.; Rank, Ernst; Hughes, Thomas J. R. An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces. (English) Zbl 1348.65055 Comput. Methods Appl. Mech. Eng. 249-252, 116-150 (2012). MSC: 65D17 65D07 PDFBibTeX XMLCite \textit{D. Schillinger} et al., Comput. Methods Appl. Mech. Eng. 249--252, 116--150 (2012; Zbl 1348.65055) Full Text: DOI
Schillinger, Dominik; Rank, Ernst An unfitted hp-adaptive finite element method based on hierarchical B-splines for interface problems of complex geometry. (English) Zbl 1230.74197 Comput. Methods Appl. Mech. Eng. 200, No. 47-48, 3358-3380 (2011). MSC: 74S05 65D07 74B20 PDFBibTeX XMLCite \textit{D. Schillinger} and \textit{E. Rank}, Comput. Methods Appl. Mech. Eng. 200, No. 47--48, 3358--3380 (2011; Zbl 1230.74197) Full Text: DOI