Serendipity Nodal VEM spaces

Autor: L. Beirão da Veiga, Alessandro Russo, L.D. Marini, Franco Brezzi

Publikováno v: Computers & fluids 141 (2016): 2–12. doi:10.1016/j.compfluid.2016.02.015
info:cnr-pdr/source/autori:L. Beirao da Veiga, F. Brezzi, L.D. Marini, and A. Russo/titolo:Serendipity nodal VEM spaces/doi:10.1016%2Fj.compfluid.2016.02.015/rivista:Computers & fluids/anno:2016/pagina_da:2/pagina_a:12/intervallo_pagine:2–12/volume:141

We introduce a new variant of Nodal Virtual Element spaces that mimics the “Serendipity Finite Element Methods” (whose most popular example is the 8-node quadrilateral) and allows to reduce (often in a significant way) the number of internal degr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::94a28b0742a63b4d240781f108e40f35
https://doi.org/10.1016/j.compfluid.2016.02.015

Virtual Element Method for fourth order problems: L^2-estimates

Autor: C. Chinosi and L.D. Marini

Publikováno v: Computers & mathematics with applications (1987) 72 (2016): 1959–1967. doi:10.1016/j.camwa.2016.02.001
info:cnr-pdr/source/autori:C. Chinosi and L.D. Marini/titolo:Virtual Element Method for fourth order problems: L^2-estimates/doi:10.1016%2Fj.camwa.2016.02.001/rivista:Computers & mathematics with applications (1987)/anno:2016/pagina_da:1959/pagina_a:1967/intervallo_pagine:1959–1967/volume:72

We analyse the family of C^1-Virtual Elements introduced in Brezzi and Marini (2013) for fourth-order problems and prove optimal estimates in L^2 and in H1 via classical duality arguments.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=cnr_________::c487d1697ae305ec585101c2a97879dc

Virtual Element and Discontinuous Galerkin Methods

Autor: F. Brezzi and L.D. Marini

Publikováno v: Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations, edited by X. Feng et al., pp. 209–221. CH-6330 Cham (ZG): Springer International Publishing, 2014
info:cnr-pdr/source/autori:F. Brezzi and L.D. Marini/titolo:Virtual Element and Discontinuous Galerkin Methods/titolo_volume:Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations/curatori_volume:X. Feng et al./editore: /anno:2014

Virtual element methods (VEM) are the latest evolution of the Mimetic Finite Difference Method and can be considered to be more close to the Finite Element approach. They combine the ductility of mimetic finite differences for dealing with rather wei

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=cnr_________::0514309f47ad6ecfe1c32e3cdb54e479
https://publications.cnr.it/doc/293765

Discontinuous Galerkin methods for advection-diffusion-reaction problems

Autor: L.D. Marini

Publikováno v: INdAM Workshop on multiscale problems, Cortona, 2006
info:cnr-pdr/source/autori:L.D. Marini/congresso_nome:INdAM Workshop on multiscale problems/congresso_luogo:Cortona/congresso_data:2006/anno:2006/pagina_da:/pagina_a:/intervallo_pagine

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=cnr_________::27243a16494c248cd2e9c41b4d64fae8
https://publications.cnr.it/doc/113182

Discontinuous Gelerkin methods for advection-diffusion-reaction

Autor: L.D. Marini

Publikováno v: WCCM VII, Los Angeles, 2006
info:cnr-pdr/source/autori:L.D. Marini/congresso_nome:WCCM VII/congresso_luogo:Los Angeles/congresso_data:2006/anno:2006/pagina_da:/pagina_a:/intervallo_pagine

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=cnr_________::8fbc812eb34390dd07f6b244b107989a
https://publications.cnr.it/doc/113180