Sogn, Jarle; Takacs, Stefan Stable discretizations and IETI-DP solvers for the Stokes system in multi-patch IgA. (English) Zbl 1524.76153 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 921-952 (2023). MSC: 76D07 65D07 65N55 PDFBibTeX XMLCite \textit{J. Sogn} and \textit{S. Takacs}, ESAIM, Math. Model. Numer. Anal. 57, No. 2, 921--952 (2023; Zbl 1524.76153) Full Text: DOI arXiv
Bastl, Bohumír; Brandner, Marek; Slabá, Kristýna; Turnerová, Eva Consistent streamline residual-based artificial viscosity stabilization for numerical simulation of incompressible turbulent flow by isogeometric analysis. (English) Zbl 07613024 Appl. Math., Praha 67, No. 6, 805-829 (2022). MSC: 65-XX 35Q35 65M12 65M60 PDFBibTeX XMLCite \textit{B. Bastl} et al., Appl. Math., Praha 67, No. 6, 805--829 (2022; Zbl 07613024) Full Text: DOI
Widlund, Olof B.; Scacchi, Simone; Pavarino, Luca F. BDDC deluxe algorithms for two-dimensional \(H(\operatorname{curl})\) isogeometric analysis. (English) Zbl 1503.65302 SIAM J. Sci. Comput. 44, No. 4, A2349-A2369 (2022). MSC: 65N30 65N55 65F08 65F10 78M10 PDFBibTeX XMLCite \textit{O. B. Widlund} et al., SIAM J. Sci. Comput. 44, No. 4, A2349--A2369 (2022; Zbl 1503.65302) Full Text: DOI
Dortdivanlioglu, Berkin; Yilmaz, Nil Ezgi Dincer; Goh, K. B.; Zheng, Xiaolin; Linder, Christian Swelling-induced interface crease instabilities at hydrogel bilayers. (English) Zbl 1478.74009 J. Elasticity 145, No. 1-2, 31-47 (2021). MSC: 74B20 74F10 74F25 74S22 PDFBibTeX XMLCite \textit{B. Dortdivanlioglu} et al., J. Elasticity 145, No. 1--2, 31--47 (2021; Zbl 1478.74009) Full Text: DOI
Łoś, M.; Muga, I.; Muñoz-Matute, J.; Paszyński, M. Isogeometric residual minimization (iGRM) for non-stationary Stokes and Navier-Stokes problems. (English) Zbl 1524.65575 Comput. Math. Appl. 95, 200-214 (2021). MSC: 65M60 65N30 76M10 76D07 65N12 76D05 35B25 65M06 65K10 65M15 35Q30 35Q35 PDFBibTeX XMLCite \textit{M. Łoś} et al., Comput. Math. Appl. 95, 200--214 (2021; Zbl 1524.65575) Full Text: DOI arXiv
Widlund, O. B.; Zampini, S.; Scacchi, S.; Pavarino, L. F. Block FETI-DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity. (English) Zbl 1507.65071 Math. Comput. 90, No. 330, 1773-1797 (2021). MSC: 65F08 65N30 65N35 65N55 PDFBibTeX XMLCite \textit{O. B. Widlund} et al., Math. Comput. 90, No. 330, 1773--1797 (2021; Zbl 1507.65071) Full Text: DOI
Sahu, Amaresh; Omar, Yannick A. D.; Sauer, Roger A.; Mandadapu, Kranthi K. Arbitrary Lagrangian-Eulerian finite element method for curved and deforming surfaces. I: General theory and application to fluid interfaces. (English) Zbl 07504720 J. Comput. Phys. 407, Article ID 109253, 49 p. (2020). MSC: 76-XX 74-XX PDFBibTeX XMLCite \textit{A. Sahu} et al., J. Comput. Phys. 407, Article ID 109253, 49 p. (2020; Zbl 07504720) Full Text: DOI arXiv
Franceschini, Andrea; Castelletto, Nicola; White, Joshua A.; Tchelepi, Hamdi A. Algebraically stabilized Lagrange multiplier method for frictional contact mechanics with hydraulically active fractures. (English) Zbl 1506.74400 Comput. Methods Appl. Mech. Eng. 368, Article ID 113161, 32 p. (2020). MSC: 74S05 65N30 65N08 65N12 74M10 PDFBibTeX XMLCite \textit{A. Franceschini} et al., Comput. Methods Appl. Mech. Eng. 368, Article ID 113161, 32 p. (2020; Zbl 1506.74400) Full Text: DOI arXiv
Evans, John A.; Kamensky, David; Bazilevs, Yuri Variational multiscale modeling with discretely divergence-free subscales. (English) Zbl 1457.76098 Comput. Math. Appl. 80, No. 11, 2517-2537 (2020). MSC: 76M10 76D05 76D07 76M30 65M12 PDFBibTeX XMLCite \textit{J. A. Evans} et al., Comput. Math. Appl. 80, No. 11, 2517--2537 (2020; Zbl 1457.76098) Full Text: DOI arXiv
Drzisga, Daniel; Keith, Brendan; Wohlmuth, Barbara The surrogate matrix methodology: low-cost assembly for isogeometric analysis. (English) Zbl 1442.65471 Comput. Methods Appl. Mech. Eng. 361, Article ID 112776, 32 p. (2020). MSC: 65Z05 PDFBibTeX XMLCite \textit{D. Drzisga} et al., Comput. Methods Appl. Mech. Eng. 361, Article ID 112776, 32 p. (2020; Zbl 1442.65471) Full Text: DOI arXiv
Hinz, Jochen; Helmig, Jan; Möller, Matthias; Elgeti, Stefanie Boundary-conforming finite element methods for twin-screw extruders using spline-based parameterization techniques. (English) Zbl 1442.74229 Comput. Methods Appl. Mech. Eng. 361, Article ID 112740, 23 p. (2020). MSC: 74S05 65N30 74C05 PDFBibTeX XMLCite \textit{J. Hinz} et al., Comput. Methods Appl. Mech. Eng. 361, Article ID 112740, 23 p. (2020; Zbl 1442.74229) Full Text: DOI arXiv
Bressan, Andrea; Takacs, Stefan Sum factorization techniques in isogeometric analysis. (English) Zbl 1441.65093 Comput. Methods Appl. Mech. Eng. 352, 437-460 (2019). MSC: 65N30 65D07 PDFBibTeX XMLCite \textit{A. Bressan} and \textit{S. Takacs}, Comput. Methods Appl. Mech. Eng. 352, 437--460 (2019; Zbl 1441.65093) Full Text: DOI arXiv
Hoang, Tuong; Verhoosel, Clemens V.; Qin, Chao-Zhong; Auricchio, Ferdinando; Reali, Alessandro; van Brummelen, E. Harald Skeleton-stabilized immersogeometric analysis for incompressible viscous flow problems. (English) Zbl 1440.76069 Comput. Methods Appl. Mech. Eng. 344, 421-450 (2019). MSC: 76M10 65N30 65D07 76D05 PDFBibTeX XMLCite \textit{T. Hoang} et al., Comput. Methods Appl. Mech. Eng. 344, 421--450 (2019; Zbl 1440.76069) Full Text: DOI arXiv
Takacs, Stefan Robust multigrid methods for isogeometric discretizations of the Stokes equations. (English) Zbl 1450.65176 Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 511-520 (2018). MSC: 65N55 65N30 65D17 65D07 65F08 65F10 76D07 35Q35 PDFBibTeX XMLCite \textit{S. Takacs}, Lect. Notes Comput. Sci. Eng. 125, 511--520 (2018; Zbl 1450.65176) Full Text: DOI arXiv
Montardini, M.; Sangalli, G.; Tani, M. Robust isogeometric preconditioners for the Stokes system based on the fast diagonalization method. (English) Zbl 1440.76080 Comput. Methods Appl. Mech. Eng. 338, 162-185 (2018). MSC: 76M10 65N30 65D07 65N22 76D07 PDFBibTeX XMLCite \textit{M. Montardini} et al., Comput. Methods Appl. Mech. Eng. 338, 162--185 (2018; Zbl 1440.76080) Full Text: DOI arXiv
Hoang, Tuong; Verhoosel, Clemens V.; Auricchio, Ferdinando; van Brummelen, E. Harald; Reali, Alessandro Skeleton-stabilized isogeometric analysis: high-regularity interior-penalty methods for incompressible viscous flow problems. (English) Zbl 1440.76068 Comput. Methods Appl. Mech. Eng. 337, 324-351 (2018). MSC: 76M10 65M60 65D07 76D05 PDFBibTeX XMLCite \textit{T. Hoang} et al., Comput. Methods Appl. Mech. Eng. 337, 324--351 (2018; Zbl 1440.76068) Full Text: DOI arXiv
Antolin, Pablo; Bressan, Andrea; Buffa, Annalisa; Sangalli, Giancarlo An isogeometric method for linear nearly-incompressible elasticity with local stress projection. (English) Zbl 1439.74039 Comput. Methods Appl. Mech. Eng. 316, 694-719 (2017). MSC: 74B05 65D07 74S05 65N30 PDFBibTeX XMLCite \textit{P. Antolin} et al., Comput. Methods Appl. Mech. Eng. 316, 694--719 (2017; Zbl 1439.74039) Full Text: DOI
Hoang, Tuong; Verhoosel, Clemens V.; Auricchio, Ferdinando; van Brummelen, E. Harald; Reali, Alessandro Mixed isogeometric finite cell methods for the Stokes problem. (English) Zbl 1439.76073 Comput. Methods Appl. Mech. Eng. 316, 400-423 (2017). MSC: 76M10 65N30 65D07 76D07 PDFBibTeX XMLCite \textit{T. Hoang} et al., Comput. Methods Appl. Mech. Eng. 316, 400--423 (2017; Zbl 1439.76073) Full Text: DOI
Westerkamp, Armin; Torrilhon, Manuel Curvature-induced instability of a Stokes-like problem with non-standard boundary conditions. (English) Zbl 06770903 Appl. Numer. Math. 121, 96-114 (2017). MSC: 65-XX PDFBibTeX XMLCite \textit{A. Westerkamp} and \textit{M. Torrilhon}, Appl. Numer. Math. 121, 96--114 (2017; Zbl 06770903) Full Text: DOI
Bulling, Jannis; John, Volker; Knobloch, Petr Isogeometric analysis for flows around a cylinder. (English) Zbl 1346.76025 Appl. Math. Lett. 63, 65-70 (2017). MSC: 76D05 76M25 76M10 PDFBibTeX XMLCite \textit{J. Bulling} et al., Appl. Math. Lett. 63, 65--70 (2017; Zbl 1346.76025) Full Text: DOI
Pavarino, L. F.; Scacchi, S. Isogeometric block FETI-DP preconditioners for the Stokes and mixed linear elasticity systems. (English) Zbl 1439.74460 Comput. Methods Appl. Mech. Eng. 310, 694-710 (2016). MSC: 74S05 65N30 65F08 65N22 65N55 74B05 76D07 PDFBibTeX XMLCite \textit{L. F. Pavarino} and \textit{S. Scacchi}, Comput. Methods Appl. Mech. Eng. 310, 694--710 (2016; Zbl 1439.74460) Full Text: DOI
Kadapa, C.; Dettmer, W. G.; Perić, D. Subdivision based mixed methods for isogeometric analysis of linear and nonlinear nearly incompressible materials. (English) Zbl 1425.74470 Comput. Methods Appl. Mech. Eng. 305, 241-270 (2016). MSC: 74S05 65N30 65D17 65N12 74C05 PDFBibTeX XMLCite \textit{C. Kadapa} et al., Comput. Methods Appl. Mech. Eng. 305, 241--270 (2016; Zbl 1425.74470) Full Text: DOI Link
Vázquez, R. A new design for the implementation of isogeometric analysis in Octave and Matlab: GeoPDEs 3.0. (English) Zbl 1359.65270 Comput. Math. Appl. 72, No. 3, 523-554 (2016). MSC: 65N30 65-04 65D17 65Y15 PDFBibTeX XMLCite \textit{R. Vázquez}, Comput. Math. Appl. 72, No. 3, 523--554 (2016; Zbl 1359.65270) Full Text: DOI
Pauletti, M. Sebastian; Martinelli, Massimiliano; Cavallini, Nicola; Antolin, Pablo Igatools: an isogeometric analysis library. (English) Zbl 1332.65196 SIAM J. Sci. Comput. 37, No. 4, C465-C496 (2015). MSC: 65Y15 65D07 65D17 65N30 68N19 PDFBibTeX XMLCite \textit{M. S. Pauletti} et al., SIAM J. Sci. Comput. 37, No. 4, C465--C496 (2015; Zbl 1332.65196) Full Text: DOI Link
Beirão da Veiga, L.; Buffa, A.; Sangalli, G.; Vázquez, R. Mathematical analysis of variational isogeometric methods. (English) Zbl 1398.65287 Acta Numerica 23, 157-287 (2014). MSC: 65N30 65D07 65D17 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Acta Numerica 23, 157--287 (2014; Zbl 1398.65287) Full Text: DOI
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S. Isogeometric Schwarz preconditioners for linear elasticity systems. (English) Zbl 1297.74113 Comput. Methods Appl. Mech. Eng. 253, 439-454 (2013). MSC: 74S05 65N30 65N22 65N55 74B05 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Comput. Methods Appl. Mech. Eng. 253, 439--454 (2013; Zbl 1297.74113) Full Text: DOI