Antonietti, Paola F.; Facciolà, Chiara; Houston, Paul; Mazzieri, Ilario; Pennesi, Giorgio; Verani, Marco High-order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations. (English) Zbl 1470.86002 Di Pietro, Daniele (ed.) et al., Polyhedral methods in geosciences. Cham: Springer. SEMA SIMAI Springer Ser. 27, 159-225 (2021). MSC: 86-08 86A15 74S05 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., SEMA SIMAI Springer Ser. 27, 159--225 (2021; Zbl 1470.86002) Full Text: DOI
Antonietti, Paola F.; Facciolà, Chiara; Verani, Marco Unified analysis of discontinuous Galerkin approximations of flows in fractured porous media on polygonal and polyhedral grids. (English) Zbl 1489.76036 Math. Eng. (Springfield) 2, No. 2, 340-385 (2020). MSC: 76M10 76S05 65N30 65N15 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Math. Eng. (Springfield) 2, No. 2, 340--385 (2020; Zbl 1489.76036) Full Text: DOI
Antonietti, Paola F.; Houston, Paul; Pennesi, Giorgio; Süli, Endre An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids. (English) Zbl 1442.65422 Math. Comput. 89, No. 325, 2047-2083 (2020). MSC: 65N55 65N50 65N30 65Y05 35J15 65F35 65F08 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Math. Comput. 89, No. 325, 2047--2083 (2020; Zbl 1442.65422) Full Text: DOI arXiv
Antonietti, Paola F.; Facciolà, Chiara; Russo, Alessandro; Verani, Marco Discontinuous Galerkin approximation of flows in fractured porous media on polytopic grids. (English) Zbl 1407.65255 SIAM J. Sci. Comput. 41, No. 1, A109-A138 (2019). MSC: 65N30 65N12 65N15 76S05 35Q35 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., SIAM J. Sci. Comput. 41, No. 1, A109--A138 (2019; Zbl 1407.65255) Full Text: DOI
Antonietti, P. F.; Mazzieri, I. High-order discontinuous Galerkin methods for the elastodynamics equation on polygonal and polyhedral meshes. (English) Zbl 1440.65129 Comput. Methods Appl. Mech. Eng. 342, 414-437 (2018). MSC: 65M60 65M12 65M15 PDFBibTeX XMLCite \textit{P. F. Antonietti} and \textit{I. Mazzieri}, Comput. Methods Appl. Mech. Eng. 342, 414--437 (2018; Zbl 1440.65129) Full Text: DOI Link
Antonietti, Paola F.; Houston, Paul; Pennesi, Giorgio Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods. (English) Zbl 1435.65044 J. Sci. Comput. 77, No. 3, 1339-1370 (2018). MSC: 65D30 65D32 65L60 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., J. Sci. Comput. 77, No. 3, 1339--1370 (2018; Zbl 1435.65044) Full Text: DOI
Antonietti, Paola F.; Houston, Paul; Hu, Xiaozhe; Sarti, Marco; Verani, Marco Multigrid algorithms for \(hp\)-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes. (English) Zbl 1421.65029 Calcolo 54, No. 4, 1169-1198 (2017). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N55 65N12 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Calcolo 54, No. 4, 1169--1198 (2017; Zbl 1421.65029) Full Text: DOI arXiv
Antonietti, Paola F.; Cangiani, Andrea; Collis, Joe; Dong, Zhaonan; Georgoulis, Emmanuil H.; Giani, Stefano; Houston, Paul Review of discontinuous Galerkin finite element methods for partial differential equations on complicated domains. (English) Zbl 1357.65251 Barrenechea, Gabriel R. (ed.) et al., Building bridges: connections and challenges in modern approaches to numerical partial differential equations. Selected papers based on the presentations at the 101st LMS-EPSRC symposium, Durham, UK, July 8–16, 2014. Cham: Springer (ISBN 978-3-319-41638-0/hbk; 978-3-319-41640-3/ebook). Lecture Notes in Computational Science and Engineering 114, 281-310 (2016). MSC: 65N30 65N50 65M60 65M50 35J25 35L04 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Lect. Notes Comput. Sci. Eng. 114, 281--310 (2016; Zbl 1357.65251) Full Text: DOI Link