Quaderni MOX
Pubblicazioni
del Laboratorio di Modellistica e Calcolo Scientifico MOX. I lavori riguardano prevalentemente il campo dell'analisi numerica, della statistica e della modellistica matematica applicata a problemi di interesse ingegneristico. Il sito del Laboratorio MOX è raggiungibile
all'indirizzo mox.polimi.it
Trovati 1237 prodotti
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MOX 6 - 01/07/2002
Micheletti, Stefano; Perotto, Simona; Picasso, Marco
Some remarks on the stability coefficients and bubble stabilization of FEM on anisotropic meshes | Abstract | | In this paper we re-address the anisotropic recipe provided for the stability
coefficients in [13].
By comparing our approach with the residual-free bubbles theory, we
improve on our a priori analysis for both the advection-diffusion and the
Stokes problems. In particular, in the case of the advection-diffusion problem
we derive a better interpolation error estimate
by taking into account in a more anisotropic way the contribution
associated with the convective term. Concerning the Stokes problem,
we provide a numerical evidence that our ani -so -tro -pic approach is
thoroughly comparable with the bubble stabilization, which we study more
in detail in our anisotropic framework. |
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MOX 5 - 01/06/2002
Causin, Paola; Sacco, Riccardo
A Dual-Mixed Hybrid Formulation for Fluid Mechanics Problems: Mathematical Analysis and Application to Semiconductor Process Technology | Abstract | | In this paper we propose a dual-mixed hybrid formulation capable of treating uner a unified framework both compressible and incompressible problems in continuoum mechanics. A theoretical analysis of the method is carried out and optimal error estimates are derived for both mixed and hybrid variables. The potentialities of the novel approach are exploited in the computation of the stress field required in the simulation of the thermal oxidation process in semiconductor technology. The numerical formulation is validated both on model problems in continuoum mechanics and on a realistic example of the thermal oxidation process in a local oxidation structure (LOCOS) |
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MOX 4 - 01/05/2002
Quarteroni, Alfio; Veneziani, Alessandro
Analysis of a Geometrical Multiscale Model Based on the Coupling of ODE S and PDE S for Blood Flow Simulations | Abstract | | In hemodynamics, local
phenomena, such as the perturbation of flow pattern in a specific vascular region, are
strictly related to the global features of the whole circulation (see e.g. cite{FNQV}).
In cite{QRV1} we have proposed a heterogeneous model where a
local, accurate, 3D description of blood flow by means of the Navier-Stokes equations
in a specific artery is coupled with a
systemic, 0D, lumped model of the remainder of circulation. This is a geometrical multiscale strategy,
which couples an initial-boundary value problem to be used in a specific vascular region with
an initial-value-problem in the rest of the circulatory system. It has been
succesfully adopted to predict the outcome of a surgical operation (see cite{Biorheo,eccom}).
However, its interest goes beyond the context of blood flow simulations,
as we point out in the Introduction.
In this paper we provide a well posedness analysis
of this multiscale model, by proving a local-in-time existence result
based on a fixed-point technique.
Moreover, we investigate the role of matching conditions between the two submodels for the numerical simulation. |
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MOX 3 - 01/02/2002
Discacciati, Marco; Quarteroni, Alfio
Analysis of a Domain Decomposition Method for the Coupling of Stokes and Darcy Equations
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MOX1 - 01/01/2002
Quarteroni, Alfio; Formaggia, Luca
Mathematical Modelling and Numerical Simulation of the Cardiovascular System | Abstract | | In these notes we will address the problem of developing models for the numerical simulation of the human circulatory system. In particular, we will focus our attention on the problem of haemodynamics in large human arteries |
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