Holst, Michael; Licht, Martin Geometric transformation of finite element methods: theory and applications. (English) Zbl 1528.65109 Appl. Numer. Math. 192, 389-413 (2023). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{M. Holst} and \textit{M. Licht}, Appl. Numer. Math. 192, 389--413 (2023; Zbl 1528.65109) Full Text: DOI arXiv
Nebel, Lisa Julia; Sander, Oliver; Bîrsan, Mircea; Neff, Patrizio A geometrically nonlinear Cosserat shell model for orientable and non-orientable surfaces: discretization with geometric finite elements. (English) Zbl 07761306 Comput. Methods Appl. Mech. Eng. 416, Article ID 116309, 38 p. (2023). MSC: 65N30 74K25 PDFBibTeX XMLCite \textit{L. J. Nebel} et al., Comput. Methods Appl. Mech. Eng. 416, Article ID 116309, 38 p. (2023; Zbl 07761306) Full Text: DOI arXiv
Sky, Adam; Neunteufel, Michael; Hale, Jack S.; Zilian, Andreas A Reissner-Mindlin plate formulation using symmetric Hu-Zhang elements via polytopal transformations. (English) Zbl 07761295 Comput. Methods Appl. Mech. Eng. 416, Article ID 116291, 29 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{A. Sky} et al., Comput. Methods Appl. Mech. Eng. 416, Article ID 116291, 29 p. (2023; Zbl 07761295) Full Text: DOI arXiv
Borndörfer, Ralf; Danecker, Fabian; Weiser, Martin Newton’s method for global free flight trajectory optimization. (English) Zbl 07746414 SN Oper. Res. Forum 4, No. 3, Paper No. 63, 41 p. (2023). Reviewer: Florian Mannel (Lübeck) MSC: 49M15 49M37 65L10 65L70 90C26 PDFBibTeX XMLCite \textit{R. Borndörfer} et al., SN Oper. Res. Forum 4, No. 3, Paper No. 63, 41 p. (2023; Zbl 07746414) Full Text: DOI arXiv
Bittens, Maximilian; Nackenhorst, Udo A fully implicit and thermodynamically consistent finite element framework for bone remodeling simulations. (English) Zbl 1517.74082 Comput. Mech. 71, No. 5, 853-866 (2023). MSC: 74S05 74L15 74A15 92C10 PDFBibTeX XMLCite \textit{M. Bittens} and \textit{U. Nackenhorst}, Comput. Mech. 71, No. 5, 853--866 (2023; Zbl 1517.74082) Full Text: DOI
Carstensen, Carsten; Puttkammer, Sophie Direct guaranteed lower eigenvalue bounds with optimal a priori convergence rates for the bi-Laplacian. (English) Zbl 1521.65118 SIAM J. Numer. Anal. 61, No. 2, 812-836 (2023). Reviewer: Chandrasekhar Salimath (Bengaluru) MSC: 65N25 65N30 65N15 65N12 65D05 65N50 49J35 31A30 PDFBibTeX XMLCite \textit{C. Carstensen} and \textit{S. Puttkammer}, SIAM J. Numer. Anal. 61, No. 2, 812--836 (2023; Zbl 1521.65118) Full Text: DOI arXiv
Kosin, V.; Beuchler, S.; Wick, T. A new mixed method for the biharmonic eigenvalue problem. (English) Zbl 07674309 Comput. Math. Appl. 136, 44-53 (2023). MSC: 65N25 65N30 PDFBibTeX XMLCite \textit{V. Kosin} et al., Comput. Math. Appl. 136, 44--53 (2023; Zbl 07674309) Full Text: DOI
Meiners, Alexander; Vertman, Boris Spectral zeta function on discrete tori and Epstein-Riemann hypothesis. (English) Zbl 1517.11028 J. Number Theory 244, 418-461 (2023). Reviewer: Shin-ya Koyama (Yokohama) MSC: 11E45 52C05 58J52 11M41 65B15 PDFBibTeX XMLCite \textit{A. Meiners} and \textit{B. Vertman}, J. Number Theory 244, 418--461 (2023; Zbl 1517.11028) Full Text: DOI arXiv
Groh, Dennis; Tischendorf, Caren Error analysis for Galerkin-BDF discretizations of DAEs with elliptic operator constraints. (English) Zbl 1503.65228 J. Comput. Appl. Math. 422, Article ID 114946, 17 p. (2023). MSC: 65M60 65L80 65L60 65M12 65M15 65L70 PDFBibTeX XMLCite \textit{D. Groh} and \textit{C. Tischendorf}, J. Comput. Appl. Math. 422, Article ID 114946, 17 p. (2023; Zbl 1503.65228) Full Text: DOI
Di Stolfo, Paolo; Schröder, Andreas Error control and adaptivity for the finite cell method. (English) Zbl 1513.74158 Schröder, Jörg (ed.) et al., Non-standard discretisation methods in solid mechanics. Cham: Springer. Lect. Notes Appl. Comput. Mech. 98, 377-403 (2022). MSC: 74S99 65M50 PDFBibTeX XMLCite \textit{P. Di Stolfo} and \textit{A. Schröder}, Lect. Notes Appl. Comput. Mech. 98, 377--403 (2022; Zbl 1513.74158) Full Text: DOI
Gustafsson, Tom; Lederer, Philip L. Mixed finite elements for Bingham flow in a pipe. (English) Zbl 1509.65114 Numer. Math. 152, No. 4, 819-840 (2022). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N50 65N12 65N15 35B35 76A05 76M10 PDFBibTeX XMLCite \textit{T. Gustafsson} and \textit{P. L. Lederer}, Numer. Math. 152, No. 4, 819--840 (2022; Zbl 1509.65114) Full Text: DOI arXiv
Banz, Lothar; Hernández, Orlando; Stephan, Ernst P. A priori and a posteriori error estimates for \(hp\)-FEM for a Bingham type variational inequality of the second kind. (English) Zbl 1524.65750 Comput. Math. Appl. 126, 14-30 (2022). MSC: 65N30 65K15 65N15 65N50 76A05 35Q35 35A23 PDFBibTeX XMLCite \textit{L. Banz} et al., Comput. Math. Appl. 126, 14--30 (2022; Zbl 1524.65750) Full Text: DOI
Rumpf, Martin; Simon, Stefan; Smoch, Christoph Finite element approximation of large-scale isometric deformations of parametrized surfaces. (English) Zbl 1501.65126 SIAM J. Numer. Anal. 60, No. 5, 2945-2962 (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65K10 65H10 65D32 65N12 74K25 74B20 74G65 49M41 35Q74 PDFBibTeX XMLCite \textit{M. Rumpf} et al., SIAM J. Numer. Anal. 60, No. 5, 2945--2962 (2022; Zbl 1501.65126) Full Text: DOI arXiv
Sky, Adam; Neunteufel, Michael; Muench, Ingo; Schöberl, Joachim; Neff, Patrizio Primal and mixed finite element formulations for the relaxed micromorphic model. (English) Zbl 1507.74048 Comput. Methods Appl. Mech. Eng. 399, Article ID 115298, 35 p. (2022). MSC: 74A60 74S05 65N30 PDFBibTeX XMLCite \textit{A. Sky} et al., Comput. Methods Appl. Mech. Eng. 399, Article ID 115298, 35 p. (2022; Zbl 1507.74048) Full Text: DOI arXiv
Bartels, Sören; Keller, Hedwig; Wachsmuth, Gerd Numerical approximation of optimal convex and rotationally symmetric shapes for an eigenvalue problem arising in optimal insulation. (English) Zbl 1524.49073 Comput. Math. Appl. 119, 327-339 (2022). MSC: 49Q10 65N30 65K10 65N15 PDFBibTeX XMLCite \textit{S. Bartels} et al., Comput. Math. Appl. 119, 327--339 (2022; Zbl 1524.49073) Full Text: DOI arXiv
Carstensen, Carsten; Ern, Alexandre; Puttkammer, Sophie Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method. (English) Zbl 1502.65179 Numer. Math. 149, No. 2, 273-304 (2021). MSC: 65N25 65N30 65N12 35P15 15A18 35J05 PDFBibTeX XMLCite \textit{C. Carstensen} et al., Numer. Math. 149, No. 2, 273--304 (2021; Zbl 1502.65179) Full Text: DOI
Sky, Adam; Neunteufel, Michael; Münch, Ingo; Schöberl, Joachim; Neff, Patrizio A hybrid \(H^1\times H(\operatorname{curl})\) finite element formulation for a relaxed micromorphic continuum model of antiplane shear. (English) Zbl 1480.74291 Comput. Mech. 68, No. 1, 1-24 (2021). MSC: 74S05 74A20 74A60 PDFBibTeX XMLCite \textit{A. Sky} et al., Comput. Mech. 68, No. 1, 1--24 (2021; Zbl 1480.74291) Full Text: DOI arXiv
Melching, David; Neunteufel, Michael; Schöberl, Joachim; Stefanelli, Ulisse A finite-strain model for incomplete damage in elastoplastic materials. (English) Zbl 1506.74075 Comput. Methods Appl. Mech. Eng. 374, Article ID 113571, 28 p. (2021). MSC: 74C15 35Q74 49J40 65N30 74A45 PDFBibTeX XMLCite \textit{D. Melching} et al., Comput. Methods Appl. Mech. Eng. 374, Article ID 113571, 28 p. (2021; Zbl 1506.74075) Full Text: DOI arXiv
Neunteufel, Michael; Schöberl, Joachim Avoiding membrane locking with Regge interpolation. (English) Zbl 1506.74192 Comput. Methods Appl. Mech. Eng. 373, Article ID 113524, 16 p. (2021). MSC: 74K25 74S05 PDFBibTeX XMLCite \textit{M. Neunteufel} and \textit{J. Schöberl}, Comput. Methods Appl. Mech. Eng. 373, Article ID 113524, 16 p. (2021; Zbl 1506.74192) Full Text: DOI arXiv
Fu, Guosheng; Lehrenfeld, Christoph; Linke, Alexander; Streckenbach, Timo Locking-free and gradient-robust \(H(\operatorname{div})\)-conforming HDG methods for linear elasticity. (English) Zbl 1460.65146 J. Sci. Comput. 86, No. 3, Paper No. 39, 31 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 74B10 35Q74 PDFBibTeX XMLCite \textit{G. Fu} et al., J. Sci. Comput. 86, No. 3, Paper No. 39, 31 p. (2021; Zbl 1460.65146) Full Text: DOI arXiv
Bertrand, Fleurianne; Boffi, Daniele The Prager-Synge theorem in reconstruction based a posteriori error estimation. (English) Zbl 1477.65192 Brenner, Susanne C. (ed.) et al., 75 years of mathematics of computation. Symposium celebrating 75 years of mathematics of computation, Institute for Computational and Experimental Research in Mathematics, ICERM, Providence, RI, USA, November 1–3, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 754, 45-67 (2020). MSC: 65N30 65N50 65N15 65N12 35J05 PDFBibTeX XMLCite \textit{F. Bertrand} and \textit{D. Boffi}, Contemp. Math. 754, 45--67 (2020; Zbl 1477.65192) Full Text: DOI arXiv
Langer, Ulrich; Schafelner, Andreas Adaptive space-time finite element methods for non-autonomous parabolic problems with distributional sources. (English) Zbl 1508.65130 Comput. Methods Appl. Math. 20, No. 4, 677-693 (2020). MSC: 65M60 65M50 65M15 65M12 65Y05 35K20 PDFBibTeX XMLCite \textit{U. Langer} and \textit{A. Schafelner}, Comput. Methods Appl. Math. 20, No. 4, 677--693 (2020; Zbl 1508.65130) Full Text: DOI arXiv
Bertrand, Fleurianne; Kober, Bernhard; Moldenhauer, Marcel; Starke, Gerhard Equilibrated stress reconstruction and a posteriori error estimation for linear elasticity. (English) Zbl 1453.74076 Schröder, Jörg (ed.) et al., Novel finite element technologies for solids and structures. Papers based on the presentations at the CISM course, Udine, Italy, September 18–22, 2017. Cham: Springer. CISM Courses Lect. 597, 69-106 (2020). MSC: 74S05 65N30 65N15 74B10 35Q74 PDFBibTeX XMLCite \textit{F. Bertrand} et al., CISM Courses Lect. 597, 69--106 (2020; Zbl 1453.74076) Full Text: DOI
Harbrecht, Helmut; Schmidlin, Marc Multilevel methods for uncertainty quantification of elliptic PDEs with random anisotropic diffusion. (English) Zbl 1431.35258 Stoch. Partial Differ. Equ., Anal. Comput. 8, No. 1, 54-81 (2020). MSC: 35R60 65N30 60H35 PDFBibTeX XMLCite \textit{H. Harbrecht} and \textit{M. Schmidlin}, Stoch. Partial Differ. Equ., Anal. Comput. 8, No. 1, 54--81 (2020; Zbl 1431.35258) Full Text: DOI arXiv Link
Banz, Lothar; Petsche, Jan; Schröder, Andreas \(hp\)-FEM for a stabilized three-field formulation of the biharmonic problem. (English) Zbl 1442.65346 Comput. Math. Appl. 77, No. 9, 2463-2488 (2019). MSC: 65N30 65N12 35J40 PDFBibTeX XMLCite \textit{L. Banz} et al., Comput. Math. Appl. 77, No. 9, 2463--2488 (2019; Zbl 1442.65346) Full Text: DOI
Castelli, G. F.; Dörfler, Willy The numerical study of a microscale model for lithium-ion batteries. (English) Zbl 1442.92214 Comput. Math. Appl. 77, No. 6, 1527-1540 (2019). MSC: 92E20 65M60 78A57 80A22 PDFBibTeX XMLCite \textit{G. F. Castelli} and \textit{W. Dörfler}, Comput. Math. Appl. 77, No. 6, 1527--1540 (2019; Zbl 1442.92214) Full Text: DOI
Hohmann, Raphael; Leithäuser, Christian Shape optimization of a polymer distributor using an Eulerian residence time model. (English) Zbl 1422.49039 SIAM J. Sci. Comput. 41, No. 4, B625-B648 (2019). MSC: 49Q10 35Q35 76B75 90C90 PDFBibTeX XMLCite \textit{R. Hohmann} and \textit{C. Leithäuser}, SIAM J. Sci. Comput. 41, No. 4, B625--B648 (2019; Zbl 1422.49039) Full Text: DOI
Di Stolfo, Paolo; Rademacher, Andreas; Schröder, Andreas Dual weighted residual error estimation for the finite cell method. (English) Zbl 1476.65331 J. Numer. Math. 27, No. 2, 101-122 (2019). MSC: 65N85 65N15 PDFBibTeX XMLCite \textit{P. Di Stolfo} et al., J. Numer. Math. 27, No. 2, 101--122 (2019; Zbl 1476.65331) Full Text: DOI
Lederer, Philip L.; Lehrenfeld, Christoph; Schöberl, Joachim Hybrid discontinuous Galerkin methods with relaxed \(H(\operatorname{div})\)-conformity for incompressible flows. I. (English) Zbl 1402.35209 SIAM J. Numer. Anal. 56, No. 4, 2070-2094 (2018). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 35Q30 65N12 65N22 65N30 76D07 PDFBibTeX XMLCite \textit{P. L. Lederer} et al., SIAM J. Numer. Anal. 56, No. 4, 2070--2094 (2018; Zbl 1402.35209) Full Text: DOI arXiv
Rademacher, Andreas; Rosin, Korinna Adaptive optimal control of Signorini’s problem. (English) Zbl 1397.49015 Comput. Optim. Appl. 70, No. 2, 531-569 (2018). MSC: 49J40 49M15 49M25 PDFBibTeX XMLCite \textit{A. Rademacher} and \textit{K. Rosin}, Comput. Optim. Appl. 70, No. 2, 531--569 (2018; Zbl 1397.49015) Full Text: DOI Link
Vejchodský, Tomáš Flux reconstructions in the Lehmann-Goerisch method for lower bounds on eigenvalues. (English) Zbl 1435.65191 J. Comput. Appl. Math. 340, 676-690 (2018). MSC: 65N25 65N30 65N15 35P15 35J25 PDFBibTeX XMLCite \textit{T. Vejchodský}, J. Comput. Appl. Math. 340, 676--690 (2018; Zbl 1435.65191) Full Text: DOI arXiv
Müller, Fabian; Schwab, Christoph Finite elements with mesh refinement for elastic wave propagation in polygons. (English) Zbl 1457.65130 Math. Methods Appl. Sci. 39, No. 17, 5027-5042 (2016). MSC: 65M60 65M20 65N30 65M15 74J05 35Q74 PDFBibTeX XMLCite \textit{F. Müller} and \textit{C. Schwab}, Math. Methods Appl. Sci. 39, No. 17, 5027--5042 (2016; Zbl 1457.65130) Full Text: DOI