A Virtual Element Method on polyhedra with curved faces.

Franco Brezzi https://scholar.google.com/citations?user=8lF2xQkAAAAJ https://zbmath.org/authors/?q=ai:brezzi.franco https://mathscinet.ams.org/mathscinet/MRAuthorID/41500 https://mathgenealogy.org/id.php?id=98121 https://en.wikipedia.org/wiki/Franco_Brezzi https://orcid.org/0000-0003-4715-5475 https://www.wikidata.org/entity/Q1442541 https://www.researcherid.com/rid/D-4362-2009 https://id.loc.gov/authorities/names/n85098272 https://d-nb.info/gnd/114535842X

Daniele Prada Franco Brezzi L. Donatella Marini A Virtual Element Method on polyhedra with curved faces. 2025 September abs/2509.23005 CoRR https://doi.org/10.48550/arXiv.2509.23005 db/journals/corr/corr2509.html#abs-2509-23005 streams/journals/corr

Lourenço Beirão da Veiga Franco Brezzi L. Donatella Marini Alessandro Russo 0002 The virtual element method. 123-202 2023 May 32 Acta Numer. https://doi.org/10.1017/S0962492922000095 db/journals/actanum/actanum32.html#VeigaBMR23

Franco Brezzi L. Donatella Marini Virtual Elements on polyhedra with a curved face. 2023 abs/2305.07449 CoRR https://doi.org/10.48550/arXiv.2305.07449 db/journals/corr/corr2305.html#abs-2305-07449

Lourenço Beirão da Veiga Franco Brezzi L. Donatella Marini Alessandro Russo 0002 Virtual Elements and curved edges. 2019 abs/1910.10184 CoRR http://arxiv.org/abs/1910.10184 db/journals/corr/corr1910.html#abs-1910-10184

Lourenço Beirão da Veiga Franco Brezzi Franco Dassi L. Donatella Marini Alessandro Russo 0002 A Family of Three-Dimensional Virtual Elements with Applications to Magnetostatics. 2940-2962 2018 56 SIAM J. Numer. Anal. 5 https://doi.org/10.1137/18M1169886 https://www.wikidata.org/entity/Q129142232 db/journals/siamnum/siamnum56.html#VeigaBDMR18

Lourenço Beirão da Veiga Franco Brezzi L. Donatella Marini Alessandro Russo 0002 H(div) and H(curl)-conforming virtual element methods. 303-332 2016 133 Numerische Mathematik 2 https://doi.org/10.1007/s00211-015-0746-1 https://www.wikidata.org/entity/Q57386691 db/journals/nm/nm133.html#VeigaBMR16

Franco Brezzi Annalisa Buffa Gianmarco Manzini Mimetic scalar products of discrete differential forms. 1228-1259 2014 257 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2013.08.017 https://www.wikidata.org/entity/Q57386698 db/journals/jcphy/jcphy257.html#BrezziBM14

Blanca Ayuso de Dios Franco Brezzi L. Donatella Marini Jinchao Xu Ludmil T. Zikatanov A Simple Preconditioner for a Discontinuous Galerkin Method for the Stokes Problem. 517-547 2014 58 J. Sci. Comput. 3 https://doi.org/10.1007/s10915-013-9758-0 https://www.wikidata.org/entity/Q57386694 db/journals/jscic/jscic58.html#DiosBMXZ14

Bashir Ahmad 0003 Ahmed Alsaedi Franco Brezzi L. Donatella Marini Alessandro Russo 0002 Equivalent projectors for virtual element methods. 376-391 2013 66 Comput. Math. Appl. 3 https://doi.org/10.1016/j.camwa.2013.05.015 https://www.wikidata.org/entity/Q57386706 db/journals/cma/cma66.html#AhmadABMR13

Lourenço Beirão da Veiga Franco Brezzi L. Donatella Marini Virtual Elements for Linear Elasticity Problems. 794-812 2013 51 SIAM J. Numer. Anal. 2 https://doi.org/10.1137/120874746 https://www.wikidata.org/entity/Q57386708 db/journals/siamnum/siamnum51.html#VeigaBM13

Konstantin Lipnikov Gianmarco Manzini Franco Brezzi Annalisa Buffa The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes. 305-328 2011 230 J. Comput. Phys. 2 https://doi.org/10.1016/j.jcp.2010.09.007 https://www.wikidata.org/entity/Q57386717 db/journals/jcphy/jcphy230.html#LipnikovMBB11

Franco Brezzi Annalisa Buffa Innovative mimetic discretizations for electromagnetic problems. 1980-1987 2010 234 J. Comput. Appl. Math. 6 https://doi.org/10.1016/j.cam.2009.08.049 https://www.wikidata.org/entity/Q57386719 db/journals/jcam/jcam234.html#BrezziB10

Silvia Bertoluzza Franco Brezzi Giancarlo Sangalli The method of mothers for non-overlapping non-matching DDM. 397-431 2007 107 Numerische Mathematik 3 https://doi.org/10.1007/s00211-007-0090-1 https://www.wikidata.org/entity/Q57386732 db/journals/nm/nm107.html#BertoluzzaBS07

Franco Brezzi L. Donatella Marini Stefano Micheletti Paola Pietra Riccardo Sacco Stability and error analysis of mixed finite-volume methods for advection dominated problems. 681-696 2006 51 Comput. Math. Appl. 5 https://doi.org/10.1016/j.camwa.2006.03.001 https://www.wikidata.org/entity/Q57386737 db/journals/cma/cma51.html#BrezziMMPS06

Douglas N. Arnold Franco Brezzi L. Donatella Marini A Family of Discontinuous Galerkin Finite Elements for the Reissner-Mindlin Plate. 25-45 2005 22 J. Sci. Comput. 1 https://doi.org/10.1007/s10915-004-4134-8 https://www.wikidata.org/entity/Q57386739 db/journals/jscic/jscic22.html#ArnoldBM05

Franco Brezzi Thomas J. R. Hughes L. Donatella Marini A. Masud Mixed Discontinuous Galerkin Methods for Darcy Flow. 119-145 2005 22 J. Sci. Comput. 1 https://doi.org/10.1007/s10915-004-4150-8 https://www.wikidata.org/entity/Q57386744 db/journals/jscic/jscic22.html#BrezziHMM05

Franco Brezzi Konstantin Lipnikov Mikhail J. Shashkov Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes. 1872-1896 2005 43 SIAM J. Numer. Anal. 5 https://doi.org/10.1137/040613950 https://www.wikidata.org/entity/Q57386742 db/journals/siamnum/siamnum43.html#BrezziLS05

Douglas N. Arnold Franco Brezzi Bernardo Cockburn L. Donatella Marini Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems. 1749-1779 2002 39 SIAM J. Numer. Anal. 5 https://doi.org/10.1137/S0036142901384162 https://www.wikidata.org/entity/Q57386760 db/journals/siamnum/siamnum39.html#ArnoldBCM02

Franco Brezzi L. Donatella Marini Error estimates for the three-field formulation with bubble stabilization. 911-934 2001 70 Math. Comput. 235 db/journals/moc/moc70.html#BrezziM01 https://doi.org/10.1090/S0025-5718-00-01250-3 https://www.wikidata.org/entity/Q57386759

Franco Brezzi Michel Fortin A minimal stabilisation procedure for mixed finite element methods. 457-491 2001 89 Numerische Mathematik 3 https://doi.org/10.1007/PL00005475 https://www.wikidata.org/entity/Q57386755 db/journals/nm/nm89.html#BrezziF01

Daniele Boffi Franco Brezzi Lucia Gastaldi On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form. 121-140 2000 69 Math. Comput. 229 db/journals/moc/moc69.html#BoffiBG00 https://doi.org/10.1090/S0025-5718-99-01072-8

Franco Brezzi L. Donatella Marini Endre Süli Residual-free bubbles for advection-diffusion problems: the general error analysis. 31-47 2000 85 Numerische Mathematik 1 https://doi.org/10.1007/s002110050476 https://www.wikidata.org/entity/Q57386769 db/journals/nm/nm85.html#BrezziMS00

Douglas N. Arnold Franco Brezzi Locking-free finite element methods for shells. 1-14 1997 66 Math. Comput. 217 db/journals/moc/moc66.html#ArnoldB97 https://doi.org/10.1090/S0025-5718-97-00785-0 https://www.wikidata.org/entity/Q57386775

Franco Brezzi C. Baiocchi L. Donatella Marini Stabilization of Galerkin Methods and Applications to Domain Decomposition. 345-355 1992 conf/inria/1992 25th Anniversary of INRIA db/conf/inria/inria1992.html#BrezziBM92 https://doi.org/10.1007/3-540-56320-2_71 Franco Brezzi Michel Fortin Mixed and Hybrid Finite Element Methods 1-352 Springer 1991 Springer Series in Computational Mathematics 15 978-1-4612-7824-5 978-1-4612-3172-1 https://doi.org/10.1007/978-1-4612-3172-1 Bashir Ahmad 0003 Ahmed Alsaedi Douglas N. Arnold C. Baiocchi Silvia Bertoluzza Daniele Boffi Annalisa Buffa Bernardo Cockburn Franco Dassi Blanca Ayuso de Dios Michel Fortin Lucia Gastaldi Thomas J. R. Hughes Konstantin Lipnikov Gianmarco Manzini L. Donatella Marini A. Masud Stefano Micheletti Paola Pietra Daniele Prada Alessandro Russo 0002 Riccardo Sacco Giancarlo Sangalli Mikhail J. Shashkov Endre Süli Lourenço Beirão da Veiga Jinchao Xu Ludmil T. Zikatanov