Aronson, Ryan M.; Wetterer-Nelson, Corey; Evans, John A. Stabilized isogeometric collocation methods for scalar transport and incompressible fluid flow. (English) Zbl 07788077 Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116283, 33 p. (2023). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{R. M. Aronson} et al., Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116283, 33 p. (2023; Zbl 07788077) Full Text: DOI arXiv
Aronson, Ryan M.; Evans, John A. Divergence-conforming isogeometric collocation methods for the incompressible Navier-Stokes equations. (English) Zbl 07737571 Comput. Methods Appl. Mech. Eng. 410, Article ID 115990, 32 p. (2023). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{R. M. Aronson} and \textit{J. A. Evans}, Comput. Methods Appl. Mech. Eng. 410, Article ID 115990, 32 p. (2023; Zbl 07737571) Full Text: DOI arXiv
Schmidt, Mathias; Noël, Lise; Doble, Keenan; Evans, John A.; Maute, Kurt Extended isogeometric analysis of multi-material and multi-physics problems using hierarchical B-splines. (English) Zbl 1519.74078 Comput. Mech. 71, No. 6, 1179-1203 (2023). MSC: 74S22 74S05 74F05 PDFBibTeX XMLCite \textit{M. Schmidt} et al., Comput. Mech. 71, No. 6, 1179--1203 (2023; Zbl 1519.74078) Full Text: DOI arXiv
Fromm, Jennifer E.; Wunsch, Nils; Xiang, Ru; Zhao, Han; Maute, Kurt; Evans, John A.; Kamensky, David Interpolation-based immersed finite element and isogeometric analysis. (English) Zbl 07653079 Comput. Methods Appl. Mech. Eng. 405, Article ID 115890, 29 p. (2023). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{J. E. Fromm} et al., Comput. Methods Appl. Mech. Eng. 405, Article ID 115890, 29 p. (2023; Zbl 07653079) Full Text: DOI arXiv
Noël, L.; Schmidt, M.; Doble, K.; Evans, J. A.; Maute, K. XIGA: an eXtended IsoGeometric analysis approach for multi-material problems. (English) Zbl 1509.74052 Comput. Mech. 70, No. 6, 1281-1308 (2022). MSC: 74S22 74B99 74F05 PDFBibTeX XMLCite \textit{L. Noël} et al., Comput. Mech. 70, No. 6, 1281--1308 (2022; Zbl 1509.74052) Full Text: DOI arXiv
Tong, Guoxiang Grayson; Kamensky, David; Evans, John A. Skeleton-stabilized divergence-conforming B-spline discretizations for incompressible flow problems of high Reynolds number. (English) Zbl 1521.76370 Comput. Fluids 248, Article ID 105667, 16 p. (2022). MSC: 76M10 65M60 41A15 65D07 76D99 PDFBibTeX XMLCite \textit{G. G. Tong} et al., Comput. Fluids 248, Article ID 105667, 16 p. (2022; Zbl 1521.76370) Full Text: DOI arXiv
Prakash, Aviral; Jansen, Kenneth E.; Evans, John A. Invariant data-driven subgrid stress modeling in the strain-rate eigenframe for large eddy simulation. (English) Zbl 1507.76080 Comput. Methods Appl. Mech. Eng. 399, Article ID 115457, 30 p. (2022). MSC: 76F65 PDFBibTeX XMLCite \textit{A. Prakash} et al., Comput. Methods Appl. Mech. Eng. 399, Article ID 115457, 30 p. (2022; Zbl 1507.76080) Full Text: DOI arXiv
Benzaken, Joseph; Evans, John A.; McCormick, Stephen F.; Tamstorf, Rasmus Nitsche’s method for linear Kirchhoff-Love shells: formulation, error analysis, and verification. (English) Zbl 1506.74185 Comput. Methods Appl. Mech. Eng. 374, Article ID 113544, 52 p. (2021). MSC: 74K25 35Q74 74S22 PDFBibTeX XMLCite \textit{J. Benzaken} et al., Comput. Methods Appl. Mech. Eng. 374, Article ID 113544, 52 p. (2021; Zbl 1506.74185) Full Text: DOI arXiv
De Prenter, F.; Verhoosel, C. V.; van Brummelen, E. H.; Evans, J. A.; Messe, C.; Benzaken, J.; Maute, K. Multigrid solvers for immersed finite element methods and immersed isogeometric analysis. (English) Zbl 1477.74106 Comput. Mech. 65, No. 3, 807-838 (2020). MSC: 74S05 74S22 65F10 PDFBibTeX XMLCite \textit{F. De Prenter} et al., Comput. Mech. 65, No. 3, 807--838 (2020; Zbl 1477.74106) 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
Evans, J. A.; Hiemstra, R. R.; Hughes, T. J. R.; Reali, A. Explicit higher-order accurate isogeometric collocation methods for structural dynamics. (English) Zbl 1440.74464 Comput. Methods Appl. Mech. Eng. 338, 208-240 (2018). MSC: 74S22 65M70 65D07 74B05 PDFBibTeX XMLCite \textit{J. A. Evans} et al., Comput. Methods Appl. Mech. Eng. 338, 208--240 (2018; Zbl 1440.74464) Full Text: DOI
Chan, Jesse; Evans, John A. Multi-patch discontinuous Galerkin isogeometric analysis for wave propagation: explicit time-stepping and efficient mass matrix inversion. (English) Zbl 1440.74381 Comput. Methods Appl. Mech. Eng. 333, 22-54 (2018). MSC: 74S05 65M60 65D07 74J05 PDFBibTeX XMLCite \textit{J. Chan} and \textit{J. A. Evans}, Comput. Methods Appl. Mech. Eng. 333, 22--54 (2018; Zbl 1440.74381) Full Text: DOI arXiv
Coley, Christopher; Evans, John A. Variational multiscale modeling with discontinuous subscales: analysis and application to scalar transport. (English) Zbl 1448.65154 Meccanica 53, No. 6, 1241-1269 (2018). MSC: 65M60 65M12 65D07 35Q49 PDFBibTeX XMLCite \textit{C. Coley} and \textit{J. A. Evans}, Meccanica 53, No. 6, 1241--1269 (2018; Zbl 1448.65154) Full Text: DOI arXiv
Kamensky, David; Hsu, Ming-Chen; Yu, Yue; Evans, John A.; Sacks, Michael S.; Hughes, Thomas J. R. Immersogeometric cardiovascular fluid-structure interaction analysis with divergence-conforming B-splines. (English) Zbl 1439.76077 Comput. Methods Appl. Mech. Eng. 314, 408-472 (2017). MSC: 76M10 74S05 65M60 74F10 76Z05 92C35 PDFBibTeX XMLCite \textit{D. Kamensky} et al., Comput. Methods Appl. Mech. Eng. 314, 408--472 (2017; Zbl 1439.76077) Full Text: DOI
van Opstal, T. M.; Yan, J.; Coley, C.; Evans, J. A.; Kvamsdal, T.; Bazilevs, Y. Isogeometric divergence-conforming variational multiscale formulation of incompressible turbulent flows. (English) Zbl 1439.76036 Comput. Methods Appl. Mech. Eng. 316, 859-879 (2017). MSC: 76F65 65D07 65M60 76M10 PDFBibTeX XMLCite \textit{T. M. van Opstal} et al., Comput. Methods Appl. Mech. Eng. 316, 859--879 (2017; Zbl 1439.76036) Full Text: DOI
Kamensky, David; Evans, John A.; Hsu, Ming-Chen; Bazilevs, Yuri Projection-based stabilization of interface Lagrange multipliers in immersogeometric fluid-thin structure interaction analysis, with application to heart valve modeling. (English) Zbl 1397.65274 Comput. Math. Appl. 74, No. 9, 2068-2088 (2017). MSC: 65N30 76M10 76Z05 92C35 65M06 35R09 74F10 PDFBibTeX XMLCite \textit{D. Kamensky} et al., Comput. Math. Appl. 74, No. 9, 2068--2088 (2017; Zbl 1397.65274) Full Text: DOI
Michoski, C.; Chan, J.; Engvall, L.; Evans, J. A. Foundations of the blended isogeometric discontinuous Galerkin (BIDG) method. (English) Zbl 1425.65171 Comput. Methods Appl. Mech. Eng. 305, 658-681 (2016). MSC: 65N30 65D17 PDFBibTeX XMLCite \textit{C. Michoski} et al., Comput. Methods Appl. Mech. Eng. 305, 658--681 (2016; Zbl 1425.65171) 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
Thomas, D. C.; Scott, M. A.; Evans, J. A.; Tew, K.; Evans, E. J. Bézier projection: a unified approach for local projection and quadrature-free refinement and coarsening of NURBS and T-splines with particular application to isogeometric design and analysis. (English) Zbl 1425.65035 Comput. Methods Appl. Mech. Eng. 284, 55-105 (2015). MSC: 65D17 65D07 65D10 PDFBibTeX XMLCite \textit{D. C. Thomas} et al., Comput. Methods Appl. Mech. Eng. 284, 55--105 (2015; Zbl 1425.65035) Full Text: DOI arXiv
De Lorenzis, L.; Evans, J. A.; Hughes, T. J. R.; Reali, A. Isogeometric collocation: Neumann boundary conditions and contact. (English) Zbl 1423.74947 Comput. Methods Appl. Mech. Eng. 284, 21-54 (2015). MSC: 74S25 65N35 65D17 74M15 PDFBibTeX XMLCite \textit{L. De Lorenzis} et al., Comput. Methods Appl. Mech. Eng. 284, 21--54 (2015; Zbl 1423.74947) 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
Hughes, Thomas J. R.; Evans, John A.; Reali, Alessandro Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems. (English) Zbl 1296.65148 Comput. Methods Appl. Mech. Eng. 272, 290-320 (2014). MSC: 65N25 65N30 65N15 PDFBibTeX XMLCite \textit{T. J. R. Hughes} et al., Comput. Methods Appl. Mech. Eng. 272, 290--320 (2014; Zbl 1296.65148) Full Text: DOI
Liu, Ju; Gomez, Hector; Evans, John A.; Hughes, Thomas J. R.; Landis, Chad M. Functional entropy variables: a new methodology for deriving thermodynamically consistent algorithms for complex fluids, with particular reference to the isothermal Navier-Stokes-Korteweg equations. (English) Zbl 1349.76237 J. Comput. Phys. 248, 47-86 (2013). MSC: 76M10 65M60 65M12 76D05 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Comput. Phys. 248, 47--86 (2013; Zbl 1349.76237) Full Text: DOI
Evans, John A.; Hughes, Thomas J. R. Isogeometric divergence-conforming B-splines for the unsteady Navier-Stokes equations. (English) Zbl 1349.76054 J. Comput. Phys. 241, 141-167 (2013). MSC: 76D05 PDFBibTeX XMLCite \textit{J. A. Evans} and \textit{T. J. R. Hughes}, J. Comput. Phys. 241, 141--167 (2013; Zbl 1349.76054) Full Text: DOI
Scott, M. A.; Simpson, R. N.; Evans, J. A.; Lipton, S.; Bordas, S. P. A.; Hughes, T. J. R.; Sederberg, T. W. Isogeometric boundary element analysis using unstructured T-splines. (English) Zbl 1297.74156 Comput. Methods Appl. Mech. Eng. 254, 197-221 (2013). MSC: 74S15 65N38 74B05 PDFBibTeX XMLCite \textit{M. A. Scott} et al., Comput. Methods Appl. Mech. Eng. 254, 197--221 (2013; Zbl 1297.74156) Full Text: DOI Link
Liu, Ju; Dedè, Luca; Evans, John A.; Borden, Micheal J.; Hughes, Thomas J. R. Isogeometric analysis of the advective Cahn-Hilliard equation: spinodal decomposition under shear flow. (English) Zbl 1311.76069 J. Comput. Phys. 242, 321-350 (2013). MSC: 76M10 65M60 76F10 76T99 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Comput. Phys. 242, 321--350 (2013; Zbl 1311.76069) 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
Evans, John A.; Hughes, Thomas J. R. Explicit trace inequalities for isogeometric analysis and parametric hexahedral finite elements. (English) Zbl 1259.65169 Numer. Math. 123, No. 2, 259-290 (2013). MSC: 65N30 65N15 35J05 PDFBibTeX XMLCite \textit{J. A. Evans} and \textit{T. J. R. Hughes}, Numer. Math. 123, No. 2, 259--290 (2013; Zbl 1259.65169) 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
Evans, John A.; Hughes, Thomas J. R. Discrete spectrum analyses for various mixed discretizations of the Stokes eigenproblem. (English) Zbl 1311.76024 Comput. Mech. 50, No. 6, 667-674 (2012). MSC: 76D07 65N25 PDFBibTeX XMLCite \textit{J. A. Evans} and \textit{T. J. R. Hughes}, Comput. Mech. 50, No. 6, 667--674 (2012; Zbl 1311.76024) Full Text: DOI
Borden, Michael J.; Scott, Michael A.; Evans, John A.; Hughes, Thomas J. R. Isogeometric finite element data structures based on Bézier extraction of NURBS. (English) Zbl 1242.74097 Int. J. Numer. Methods Eng. 87, No. 1-5, 15-47 (2011). MSC: 74S05 65D17 PDFBibTeX XMLCite \textit{M. J. Borden} et al., Int. J. Numer. Methods Eng. 87, No. 1--5, 15--47 (2011; Zbl 1242.74097) Full Text: DOI
Lipton, S.; Evans, J. A.; Bazilevs, Y.; Elguedj, T.; Hughes, T. J. R. Robustness of isogeometric structural discretizations under severe mesh distortion. (English) Zbl 1227.74112 Comput. Methods Appl. Mech. Eng. 199, No. 5-8, 357-373 (2010). MSC: 74S30 74S05 65D17 65D07 PDFBibTeX XMLCite \textit{S. Lipton} et al., Comput. Methods Appl. Mech. Eng. 199, No. 5--8, 357--373 (2010; Zbl 1227.74112) Full Text: DOI
Bazilevs, Y.; Calo, V. M.; Cottrell, J. A.; Evans, J. A.; Hughes, T. J. R.; Lipton, S.; Scott, M. A.; Sederberg, T. W. Isogeometric analysis using T-splines. (English) Zbl 1227.74123 Comput. Methods Appl. Mech. Eng. 199, No. 5-8, 229-263 (2010). MSC: 74S99 76M99 65D17 65D07 PDFBibTeX XMLCite \textit{Y. Bazilevs} et al., Comput. Methods Appl. Mech. Eng. 199, No. 5--8, 229--263 (2010; Zbl 1227.74123) Full Text: DOI HAL
Evans, John A.; Hughes, Thomas J. R.; Sangalli, Giancarlo Enforcement of constraints and maximum principles in the variational multiscale method. (English) Zbl 1231.76238 Comput. Methods Appl. Mech. Eng. 199, No. 1-4, 61-76 (2009). MSC: 76M30 76R99 PDFBibTeX XMLCite \textit{J. A. Evans} et al., Comput. Methods Appl. Mech. Eng. 199, No. 1--4, 61--76 (2009; Zbl 1231.76238) Full Text: DOI
Evans, John A.; Bazilevs, Yuri; Babuška, Ivo; Hughes, Thomas J. R. \(n\)-widths, sup-infs, and optimality ratios for the \(k\)-version of the isogeometric finite element method. (English) Zbl 1227.65093 Comput. Methods Appl. Mech. Eng. 198, No. 21-26, 1726-1741 (2009). MSC: 65M60 65N30 PDFBibTeX XMLCite \textit{J. A. Evans} et al., Comput. Methods Appl. Mech. Eng. 198, No. 21--26, 1726--1741 (2009; Zbl 1227.65093) Full Text: DOI