Search Results - "BREZZI, F."
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1
Equivalent projectors for virtual element methods
Published in Computers & mathematics with applications (1987) (01-09-2013)“…In the original virtual element space with degree of accuracy k, projector operators in the H1-seminorm onto polynomials of degree ≤k can be easily computed…”
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2
VIRTUAL ELEMENTS FOR LINEAR ELASTICITY PROBLEMS
Published in SIAM journal on numerical analysis (01-01-2013)“…We discuss the application of virtual elements to linear elasticity problems, for both the compressible and the nearly incompressible case. Virtual elements…”
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3
Lowest order Virtual Element approximation of magnetostatic problems
Published in Computer methods in applied mechanics and engineering (15-04-2018)“…We give here a simplified presentation of the lowest order Serendipity Virtual Element method, and show its use for the numerical solution of linear…”
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4
Virtual Element approximation of 2D magnetostatic problems
Published in Computer methods in applied mechanics and engineering (01-12-2017)“…We consider the use of nodal and edge Virtual Element spaces for the discretization of magnetostatic problems in two dimensions, following the variational…”
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5
Serendipity Nodal VEM spaces
Published in Computers & fluids (15-12-2016)“…•Virtual Element Methods generalize Finite Elements to polytopal geometries.•Serendipity VEMs imitate the Serendipity variants of Finite Elements.•On triangles…”
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6
The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes
Published in Journal of computational physics (20-01-2011)“…We extend the mimetic finite difference (MFD) method to the numerical treatment of magnetostatic fields problems in mixed div– curl form for the…”
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7
Mimetic scalar products of discrete differential forms
Published in Journal of computational physics (01-01-2014)“…We propose a strategy for the systematic construction of the mimetic inner products on cochain spaces for the numerical approximation of partial differential…”
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8
An “immersed” finite element method based on a locally anisotropic remeshing for the incompressible Stokes problem
Published in Computer methods in applied mechanics and engineering (01-09-2015)“…In the present paper we study a finite element method for the incompressible Stokes problem with a boundary immersed in the domain on which essential…”
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9
Stabilization mechanisms in discontinuous Galerkin finite element methods
Published in Computer methods in applied mechanics and engineering (01-05-2006)“…In this paper we propose a new general framework for the construction and the analysis of discontinuous Galerkin (DG) methods which reveals a basic mechanism,…”
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10
Analytical modelling of a large-scale dynamic testing facility
Published in Earthquake engineering & structural dynamics (01-02-2012)“…SUMMARY An analytical model, which aims at reproducing the response of a large‐scale dynamic testing facility, that is a system composed of the…”
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11
New rectangular plate elements based on twist-Kirchhoff theory
Published in Computer methods in applied mechanics and engineering (01-08-2011)“…We introduce a new framework for the development of thin plate finite elements, the “twist-Kirchhoff theory”. A family of rectangular plate elements is derived…”
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12
Discontinuous Galerkin approximations for elliptic problems
Published in Numerical methods for partial differential equations (01-07-2000)“…In this article, we analyze a discontinuous finite element method recently introduced by Bassi and Rebay for the approximation of elliptic problems. Stability…”
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13
A minimal stabilisation procedure for mixed finite element methods
Published in Numerische Mathematik (01-09-2001)Get full text
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14
b = ∝ g
Published in Computer methods in applied mechanics and engineering (30-06-1997)“…In this paper we show the equivalence between the variational multiscale and the residual-free bubbles concepts…”
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15
Mixed Discontinuous Galerkin Methods for Darcy Flow
Published in Journal of scientific computing (01-06-2005)“…We consider a family of mixed finite element discretizations of the Darcy flow equations using totally discontinuous elements (both for the pressure and the…”
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16
On the choice of a stabilizing subgrid for convection–diffusion problems
Published in Computer methods in applied mechanics and engineering (04-02-2005)“…SUPG and residual-free bubbles are closely related methods that have been used with success to stabilize a certain number of problems, including…”
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Journal Article Conference Proceeding -
17
A nonconforming element for the Reissner–Mindlin plate
Published in Computers & structures (01-05-2003)“…We develop a locking free nonconforming element for the Reissner–Mindlin plate using discontinuous Galerkin techniques, and prove optimal error estimates…”
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18
Further considerations on residual-free bubbles for advective-diffusive equations
Published in Computer methods in applied mechanics and engineering (13-11-1998)“…We further consider the Galerkin method for advective-diffusive equations in two dimensions. The finite dimensional space employed is of piecewise polynomials…”
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19
Error analysis of piecewise constant pressure approximations of Darcy’s law
Published in Computer methods in applied mechanics and engineering (15-02-2006)“…In this paper we present a short discussion on some finite element formulations for linear elliptic problems. For the sake of simplicity we consider the…”
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20
Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems
Published in Computer methods in applied mechanics and engineering (13-11-1998)“…Residual-free bubbles have been recently introduced in order to compute optimal values for the stabilization methods á la Hughes-Franca. However, unless in…”
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