Zobrazeno 1 - 10
of 19
pro vyhledávání: '"L. Donatella Marini"'
Autor:
Franco Brezzi, L. Donatella Marini
Publikováno v:
Bulletin of Mathematical Sciences, Vol 13, Iss 03 (2023)
We revisit classical Virtual Element approximations on polygonal and polyhedral decompositions. We also recall the treatment proposed for dealing with decompositions into polygons with curved edges. In the second part of the paper, we introduce a cou
Externí odkaz:
https://doaj.org/article/69c31b8a499c4da193bc1e5694ce820f
Autor:
L. Donatella Marini
Publikováno v:
Istituto Lombardo - Accademia di Scienze e Lettere - Rendiconti di Scienze.
This short note is meant to give an idea of what Scientific Computing is and what its goal is. In particular, I will focus on the role of Mathematics inside Scientific Computing. On an extremely simple example I will indicate the various steps that l
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cb41404dfce554fbea8e2a31d7c136c2
https://doi.org/10.4081/scie.2019.689
https://doi.org/10.4081/scie.2019.689
Autor:
L. Donatella Marini, C. Chinosi
Publikováno v:
Computers & Mathematics with Applications. 72:1959-1967
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 H 1 via classical duality arguments.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::357d61cc25fb5a6c6c0318c1a66e2b35
https://doi.org/10.1016/j.camwa.2016.02.001
https://doi.org/10.1016/j.camwa.2016.02.001
Publikováno v:
Numerical Methods for Partial Differential Equations. 28:1440-1465
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::287f7b0051817494027ecc50f007b2a0
https://doi.org/10.1002/num.20687
https://doi.org/10.1002/num.20687
Publikováno v:
Computational mechanics 47 (2011): 617–6126. doi:10.1007/s00466-010-0565-2
info:cnr-pdr/source/autori:K.-J. Bathe, F. Brezzi, and L.D. Marini/titolo:The MITC9 shell element in plate bending: mathematical analysis of a simplified case/doi:10.1007%2Fs00466-010-0565-2/rivista:Computational mechanics/anno:2011/pagina_da:617/pagina_a:6126/intervallo_pagine:617–6126/volume:47
info:cnr-pdr/source/autori:K.-J. Bathe, F. Brezzi, and L.D. Marini/titolo:The MITC9 shell element in plate bending: mathematical analysis of a simplified case/doi:10.1007%2Fs00466-010-0565-2/rivista:Computational mechanics/anno:2011/pagina_da:617/pagina_a:6126/intervallo_pagine:617–6126/volume:47
We consider the 9-node shell element referred to as the MITC9 shell element in plate bending solutions and present a simplified mathematical analysis. The element uses bi-quadratic interpolations of the rotations and transverse displacement, and the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc140b5e5d991edba1035ecd249a0e34
https://doi.org/10.1007/s00466-010-0565-2
https://doi.org/10.1007/s00466-010-0565-2
Autor:
Carlo Lovadina, L. Donatella Marini
Publikováno v:
Journal of Scientific Computing. 40:340-359
Using the weighted residual formulation we derive a-posteriori estimates for Discontinuous Galerkin approximations of second order elliptic problems in mixed form. We show that our approach allows to include in a unified way all the methods presented
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c8a303dfdcc87ff666c5c347bbe92fa2
https://doi.org/10.1007/s10915-009-9286-0
https://doi.org/10.1007/s10915-009-9286-0
Publikováno v:
Computer Methods in Applied Mechanics and Engineering. 196:3660-3671
In a recent paper of Arnold et al. [D.N. Arnold, F. Brezzi, L.D. Marini, A family of discontinuous Galerkin finite elements for the Reissner–Mindlin plate, J. Sci. Comput. 22 (2005) 25–45], the ideas of discontinuous Galerkin methods were used to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0160ca393bdba50fd71e5b6a7b1ca761
https://doi.org/10.1016/j.cma.2006.10.023
https://doi.org/10.1016/j.cma.2006.10.023
Publikováno v:
Journal of Scientific Computing. :25-45
We develop a family of locking-free elements for the Reissner-Mindlin plate using Discontinuous Galerkin (DG) techniques, one for each odd degree, and prove optimal error estimates. A second family uses conforming elements for the rotations and nonco
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b424e9b59f267229fc45c49433da923
https://doi.org/10.1007/s10915-004-4134-8
https://doi.org/10.1007/s10915-004-4134-8
Publikováno v:
ResearcherID
Scopus-Elsevier
Scopus-Elsevier
We develop the general a priori error analysis of residual-free bubble finite element approximations to non-self-adjoint elliptic problems of the form (εA + C)u = f subject to homogeneous Dirichlet boundary condition, where A is a symmetric second-o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34edbada04a6a13e9012006f3b0e2b5b
https://doi.org/10.1007/s002110050476
https://doi.org/10.1007/s002110050476
Autor:
L. Donatella Marini, Franco Brezzi
Publikováno v:
Computer methods in applied mechanics and engineering 253 (2013): 455–462. doi:10.1016/j.cma.2012.09.012
info:cnr-pdr/source/autori:F. Brezzi and L.D. Marini/titolo:Virtual Element Methods for plate bending problems/doi:10.1016%2Fj.cma.2012.09.012/rivista:Computer methods in applied mechanics and engineering/anno:2013/pagina_da:455/pagina_a:462/intervallo_pagine:455–462/volume:253
info:cnr-pdr/source/autori:F. Brezzi and L.D. Marini/titolo:Virtual Element Methods for plate bending problems/doi:10.1016%2Fj.cma.2012.09.012/rivista:Computer methods in applied mechanics and engineering/anno:2013/pagina_da:455/pagina_a:462/intervallo_pagine:455–462/volume:253
We discuss the application of Virtual Elements to linear plate bending problems, in the Kirchhoff–Love formulation. As we shall see, in the Virtual Element environment the treatment of the C 1 -continuity condition is much easier than for tradition
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa9cb2c16a9747431688573e86d3a668
