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4 papers · 2 filters
Finite element differential forms on curvilinear cubic meshes and their approximation properties
Douglas N. Arnold, Daniele Boffi, Francesca Bonizzoni
We study the approximation properties of a wide class of finite element differential forms on curvilinear cubic meshes in n dimensions. Specifically, we consider meshes in which ea…
Isogeometric Methods for Computational Electromagnetics: B-spline and T-spline discretizations
A. Buffa, G. Sangalli, R. Vazquez
In this paper we introduce methods for electromagnetic wave propagation, based on splines and on T-splines. We define spline spaces which form a De Rham complex and, following the…
A simple preconditioner for a discontinuous Galerkin method for the Stokes problem
Blanca Ayuso de Dios, Franco Brezzi, L. Donatella Marini +2
In this paper we construct Discontinuous Galerkin approximations of the Stokes problem where the velocity field is H(div)-conforming. This implies that the velocity solution is div…
Numerical results for mimetic discretization of Reissner-Mindlin plate problems
Lourenco Beirao da Veiga, Carlo Lovadina, David Mora
A low-order mimetic finite difference (MFD) method for Reissner-Mindlin plate problems is considered. Together with the source problem, the free vibration and the buckling problems…