Beirão da Veiga, L.; Canuto, C.; Nochetto, R. H.; Vacca, G.; Verani, M. Adaptive VEM: stabilization-free a posteriori error analysis and contraction property. (English) Zbl 1512.65258 SIAM J. Numer. Anal. 61, No. 2, 457-494 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N50 65N15 65N12 65N85 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., SIAM J. Numer. Anal. 61, No. 2, 457--494 (2023; Zbl 1512.65258) Full Text: DOI arXiv
Berrone, Stefano; Bonito, Andrea; Stevenson, Rob; Verani, Marco An optimal adaptive fictitious domain method. (English) Zbl 1415.65276 Math. Comput. 88, No. 319, 2101-2134 (2019). MSC: 65N85 65N30 65N12 65T60 PDFBibTeX XMLCite \textit{S. Berrone} et al., Math. Comput. 88, No. 319, 2101--2134 (2019; Zbl 1415.65276) Full Text: DOI arXiv
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco Convergence and optimality of \({\mathbf {hp}}\)-AFEM. (English) Zbl 1364.65241 Numer. Math. 135, No. 4, 1073-1119 (2017). MSC: 65N30 65N12 65N50 PDFBibTeX XMLCite \textit{C. Canuto} et al., Numer. Math. 135, No. 4, 1073--1119 (2017; Zbl 1364.65241) Full Text: DOI arXiv
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco Adaptive spectral Galerkin methods with dynamic marking. (English) Zbl 1457.65231 SIAM J. Numer. Anal. 54, No. 6, 3193-3213 (2016). MSC: 65N35 65N30 65N50 65N12 PDFBibTeX XMLCite \textit{C. Canuto} et al., SIAM J. Numer. Anal. 54, No. 6, 3193--3213 (2016; Zbl 1457.65231) Full Text: DOI arXiv
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco High-order adaptive Galerkin methods. (English) Zbl 1352.65476 Kirby, Robert M. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2014. Selected papers from the ICOSAHOM conference, June 23–27, 2014, Salt Lake City, UT, USA. Cham: Springer (ISBN 978-3-319-19799-9/hbk; 978-3-319-19800-2/ebook). Lecture Notes in Computational Science and Engineering 106, 51-72 (2015). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 65N30 35J25 65N35 PDFBibTeX XMLCite \textit{C. Canuto} et al., Lect. Notes Comput. Sci. Eng. 106, 51--72 (2015; Zbl 1352.65476) Full Text: DOI
Canuto, Claudio; Simoncini, Valeria; Verani, Marco Contraction and optimality properties of an adaptive Legendre-Galerkin method: the multi-dimensional case. (English) Zbl 1325.65151 J. Sci. Comput. 63, No. 3, 769-798 (2015). Reviewer: Ivan Secrieru (Chişinău) MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{C. Canuto} et al., J. Sci. Comput. 63, No. 3, 769--798 (2015; Zbl 1325.65151) Full Text: DOI arXiv
Canuto, C.; Nochetto, R. H.; Verani, M. Contraction and optimality properties of adaptive Legendre-Galerkin methods: the one-dimensional case. (English) Zbl 1350.65118 Comput. Math. Appl. 67, No. 4, 752-770 (2014). MSC: 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{C. Canuto} et al., Comput. Math. Appl. 67, No. 4, 752--770 (2014; Zbl 1350.65118) Full Text: DOI arXiv
Antonietti, P. F.; Beirão da Veiga, L.; Bigoni, N.; Verani, M. Mimetic finite differences for nonlinear and control problems. (English) Zbl 1291.65316 Math. Models Methods Appl. Sci. 24, No. 8, 1457-1493 (2014). MSC: 65N06 65N20 35J62 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Math. Models Methods Appl. Sci. 24, No. 8, 1457--1493 (2014; Zbl 1291.65316) Full Text: DOI
Canuto, C.; Nochetto, R. H.; Verani, M. Adaptive Fourier-Galerkin methods. (English) Zbl 1297.65149 Math. Comput. 83, No. 288, 1645-1687 (2014). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 65T40 PDFBibTeX XMLCite \textit{C. Canuto} et al., Math. Comput. 83, No. 288, 1645--1687 (2014; Zbl 1297.65149) Full Text: DOI arXiv
Antonietti, Paola F.; Beirão da Veiga, Lourenço; Verani, Marco A mimetic discretization of elliptic obstacle problems. (English) Zbl 1271.65136 Math. Comput. 82, No. 283, 1379-1400 (2013). MSC: 65N30 35J25 35R35 65N12 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Math. Comput. 82, No. 283, 1379--1400 (2013; Zbl 1271.65136) Full Text: DOI
Berrone, S.; Verani, M. A new marking strategy for the adaptive finite element approximation of optimal control constrained problems. (English) Zbl 1228.65095 Optim. Methods Softw. 26, No. 4-5, 747-775 (2011). MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{S. Berrone} and \textit{M. Verani}, Optim. Methods Softw. 26, No. 4--5, 747--775 (2011; Zbl 1228.65095) Full Text: DOI
Doǧan, G.; Morin, P.; Nochetto, R. H.; Verani, M. Discrete gradient flows for shape optimization and applications. (English) Zbl 1173.49307 Comput. Methods Appl. Mech. Eng. 196, No. 37-40, 3898-3914 (2007). MSC: 49Q10 65M60 65K10 PDFBibTeX XMLCite \textit{G. Doǧan} et al., Comput. Methods Appl. Mech. Eng. 196, No. 37--40, 3898--3914 (2007; Zbl 1173.49307) Full Text: DOI