Teijeiro, Tomas; Taylor, Jamie M.; Hashemian, Ali; Pardo, David Machine learning discovery of optimal quadrature rules for isogeometric analysis. (English) Zbl 07761307 Comput. Methods Appl. Mech. Eng. 416, Article ID 116310, 20 p. (2023). MSC: 65-XX 90-XX PDFBibTeX XMLCite \textit{T. Teijeiro} et al., Comput. Methods Appl. Mech. Eng. 416, Article ID 116310, 20 p. (2023; Zbl 07761307) Full Text: DOI arXiv
Stoter, Stein K. F.; Divi, Sai C.; van Brummelen, E. Harald; Larson, Mats G.; de Prenter, Frits; Verhoosel, Clemens V. Critical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamics. (English) Zbl 07692979 Comput. Methods Appl. Mech. Eng. 412, Article ID 116074, 33 p. (2023). MSC: 82-XX 92-XX PDFBibTeX XMLCite \textit{S. K. F. Stoter} et al., Comput. Methods Appl. Mech. Eng. 412, Article ID 116074, 33 p. (2023; Zbl 07692979) Full Text: DOI arXiv
Deng, Quanling; Behnoudfar, Pouria; Calo, Victor M. SoftIGA: soft isogeometric analysis. (English) Zbl 07644172 Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115705, 26 p. (2023). MSC: 65N15 65N30 65N35 35J05 PDFBibTeX XMLCite \textit{Q. Deng} et al., Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115705, 26 p. (2023; Zbl 07644172) Full Text: DOI arXiv
Li, Xiwei; Wang, Dongdong On the significance of basis interpolation for accurate lumped mass isogeometric formulation. (English) Zbl 1507.74538 Comput. Methods Appl. Mech. Eng. 400, Article ID 115533, 50 p. (2022). MSC: 74S22 65D07 PDFBibTeX XMLCite \textit{X. Li} and \textit{D. Wang}, Comput. Methods Appl. Mech. Eng. 400, Article ID 115533, 50 p. (2022; Zbl 1507.74538) Full Text: DOI
Hashemian, Ali; Garcia, Daniel; Pardo, David; Calo, Victor M. Refined isogeometric analysis of quadratic eigenvalue problems. (English) Zbl 1507.65227 Comput. Methods Appl. Mech. Eng. 399, Article ID 115327, 27 p. (2022). MSC: 65N25 PDFBibTeX XMLCite \textit{A. Hashemian} et al., Comput. Methods Appl. Mech. Eng. 399, Article ID 115327, 27 p. (2022; Zbl 1507.65227) Full Text: DOI arXiv
Nguyen, Thi-Hoa; Hiemstra, René R.; Stoter, Stein K. F.; Schillinger, Dominik A variational approach based on perturbed eigenvalue analysis for improving spectral properties of isogeometric multipatch discretizations. (English) Zbl 1507.74501 Comput. Methods Appl. Mech. Eng. 392, Article ID 114671, 27 p. (2022). MSC: 74S05 65D07 65N25 65N30 PDFBibTeX XMLCite \textit{T.-H. Nguyen} et al., Comput. Methods Appl. Mech. Eng. 392, Article ID 114671, 27 p. (2022; Zbl 1507.74501) Full Text: DOI arXiv
Hiemstra, René R.; Hughes, Thomas J. R.; Reali, Alessandro; Schillinger, Dominik Removal of spurious outlier frequencies and modes from isogeometric discretizations of second- and fourth-order problems in one, two, and three dimensions. (English) Zbl 1507.65130 Comput. Methods Appl. Mech. Eng. 387, Article ID 114115, 43 p. (2021). MSC: 65L15 65L10 PDFBibTeX XMLCite \textit{R. R. Hiemstra} et al., Comput. Methods Appl. Mech. Eng. 387, Article ID 114115, 43 p. (2021; Zbl 1507.65130) Full Text: DOI
Deng, Quanling; Calo, Victor M. A boundary penalization technique to remove outliers from isogeometric analysis on tensor-product meshes. (English) Zbl 1506.65169 Comput. Methods Appl. Mech. Eng. 383, Article ID 113907, 19 p. (2021). MSC: 65M70 65D07 PDFBibTeX XMLCite \textit{Q. Deng} and \textit{V. M. Calo}, Comput. Methods Appl. Mech. Eng. 383, Article ID 113907, 19 p. (2021; Zbl 1506.65169) Full Text: DOI arXiv
Li, Xiliang; Li, Xin AS++ T-splines: arbitrary degree, nestedness and approximation. (English) Zbl 1479.41009 Numer. Math. 148, No. 4, 795-816 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 65D07 65M15 PDFBibTeX XMLCite \textit{X. Li} and \textit{X. Li}, Numer. Math. 148, No. 4, 795--816 (2021; Zbl 1479.41009) Full Text: DOI
Bianchi, Davide Analysis of the spectral symbol associated to discretization schemes of linear self-adjoint differential operators. (English) Zbl 07380433 Calcolo 58, No. 3, Paper No. 38, 47 p. (2021). MSC: 47B35 35P05 65N99 65D25 65F99 PDFBibTeX XMLCite \textit{D. Bianchi}, Calcolo 58, No. 3, Paper No. 38, 47 p. (2021; Zbl 07380433) Full Text: DOI arXiv
Mika, Michal L.; Hughes, Thomas J. R.; Schillinger, Dominik; Wriggers, Peter; Hiemstra, René R. A matrix-free isogeometric Galerkin method for Karhunen-Loève approximation of random fields using tensor product splines, tensor contraction and interpolation based quadrature. (English) Zbl 1506.74419 Comput. Methods Appl. Mech. Eng. 379, Article ID 113730, 32 p. (2021). MSC: 74S05 65N30 60G60 65D07 65N75 74S60 PDFBibTeX XMLCite \textit{M. L. Mika} et al., Comput. Methods Appl. Mech. Eng. 379, Article ID 113730, 32 p. (2021; Zbl 1506.74419) Full Text: DOI arXiv
Idesman, A.; Dey, B. New 25-point stencils with optimal accuracy for 2-D heat transfer problems. Comparison with the quadratic isogeometric elements. (English) Zbl 07506190 J. Comput. Phys. 418, Article ID 109640, 34 p. (2020). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{A. Idesman} and \textit{B. Dey}, J. Comput. Phys. 418, Article ID 109640, 34 p. (2020; Zbl 07506190) Full Text: DOI
Deng, Quanling; Calo, Victor Higher order stable generalized finite element method for the elliptic eigenvalue and source problems with an interface in 1D. (English) Zbl 1433.65268 J. Comput. Appl. Math. 368, Article ID 112558, 15 p. (2020). MSC: 65N25 65N30 35J15 35P15 PDFBibTeX XMLCite \textit{Q. Deng} and \textit{V. Calo}, J. Comput. Appl. Math. 368, Article ID 112558, 15 p. (2020; Zbl 1433.65268) Full Text: DOI arXiv
Garcia, Daniel; Pardo, David; Calo, Victor M. Refined isogeometric analysis for fluid mechanics and electromagnetics. (English) Zbl 1441.76060 Comput. Methods Appl. Mech. Eng. 356, 598-628 (2019). MSC: 76M10 78M10 65N30 65D07 PDFBibTeX XMLCite \textit{D. Garcia} et al., Comput. Methods Appl. Mech. Eng. 356, 598--628 (2019; Zbl 1441.76060) Full Text: DOI
Horger, Thomas; Reali, Alessandro; Wohlmuth, Barbara; Wunderlich, Linus A hybrid isogeometric approach on multi-patches with applications to Kirchhoff plates and eigenvalue problems. (English) Zbl 1440.74401 Comput. Methods Appl. Mech. Eng. 348, 396-408 (2019). MSC: 74S05 65N30 65N25 74K20 PDFBibTeX XMLCite \textit{T. Horger} et al., Comput. Methods Appl. Mech. Eng. 348, 396--408 (2019; Zbl 1440.74401) Full Text: DOI arXiv
Deng, Quanling; Puzyrev, Vladimir; Calo, Victor Optimal spectral approximation of \(2 n\)-order differential operators by mixed isogeometric analysis. (English) Zbl 1440.65246 Comput. Methods Appl. Mech. Eng. 343, 297-313 (2019). MSC: 65N35 35A35 35J40 35P15 PDFBibTeX XMLCite \textit{Q. Deng} et al., Comput. Methods Appl. Mech. Eng. 343, 297--313 (2019; Zbl 1440.65246) Full Text: DOI arXiv