Paola Gervasio
University of Brescia
CouplingMathematical analysisFinite element methodMinificationControl variableInterpolationBoundary value problemDomain decomposition methodsSpectral methodInterface (Java)Navier–Stokes equationsApplied mathematicsMathematicsSpectral element methodComputer scienceRate of convergenceConvergence (routing)DiscretizationOptimal controlPartial differential equation
82Publications
12H-index
482Citations
Publications 77
Newest
#1Gianni Gilioli (University of Brescia)H-Index: 17
#2Pierluigi Colli (UNIPV: University of Pavia)H-Index: 31
Last. Giorgio Sperandio (University of Brescia)H-Index: 4
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Abstract The assessment and the management of the risks linked to insect pests can be supported by the use of physiologically-based demographic models. These models are useful in population ecology to simulate the dynamics of stage-structured populations, by means of functions (e.g., development, mortality and fecundity rate functions) realistically representing the nonlinear individuals physiological responses to environmental forcing variables. Since density-dependent responses are important r...
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#1Paola GervasioH-Index: 12
#2Luca DedèH-Index: 21
Last. Alfio QuarteroniH-Index: 83
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In this paper, we carry out a systematic comparison between the theoretical properties of Spectral Element Methods and NURBS-based Isogeometric Analysis in its basic form, that is in the framework of the Galerkin method, for the approximation of the Poisson problem, which we select as a benchmark Partial Differential Equation. Our focus is on their convergence properties, the algebraic structure and the spectral properties of the corresponding discrete arrays (mass and stiffness matrices). We re...
3 CitationsSource
#1Alfio QuarteroniH-Index: 83
#2Paola GervasioH-Index: 12
Given the function f(x) = −x2 + 4x + 1, construct fmp over the interval [1, 4] using a partition made of M = 6 subintervals of the same length. Plot f and fmp on the same plane.
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#1Alfio QuarteroniH-Index: 83
#2Paola Gervasio (University of Brescia)H-Index: 12
It is the 22nd of May and we decide to look up born on 22 May on Google. In the blink of an eye, 0.35 seconds to be precise, we get back around 624,000 hits. We click on the first link Google proposes (22 May – Wikipedia) and discover that on this very day in 1859 Sir Arthur Conan Doyle was born in Edinburgh, Scotland (see Fig. 4.1).
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#1Alfio QuarteroniH-Index: 83
#2Paola Gervasio (University of Brescia)H-Index: 12
The various aspects of the real world, their interaction and their dynamics can very often be described by mathematical formulas, functions and equations, in other words by mathematical models.
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#1Alfio QuarteroniH-Index: 83
#2Paola Gervasio (University of Brescia)H-Index: 12
We have learnt that a mathematical model of a physical (or real) problem requires a good knowledge of the problem itself. Often – almost always – this knowledge must be shared with the experts on the problem, be these engineers, biologists, economists, physicists or physicians.
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#1Alfio QuarteroniH-Index: 83
#2Paola GervasioH-Index: 12
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#1Paola Gervasio (University of Brescia)H-Index: 12
#2Federico Marini (National Research Council)H-Index: 1
In this paper we apply the INTERNODES method to solve second order elliptic problems discretized by Isogeometric Analysis methods on non-conforming multiple patches in 2D and 3D geometries. INTERNODES is an interpolation-based method that, on each interface of the configuration, exploits two independent interpolation operators to enforce the continuity of the traces and of the normal derivatives. INTERNODES supports non-conformity on NURBS spaces as well as on geometries. We specify how to set u...
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#1Alfio QuarteroniH-Index: 83
#2Paola Gervasio (University of Brescia)H-Index: 12
view all 2 authors...
When a numerical model generates an algorithm, the latter must be implemented in a program by means of a programming language. Among the many languages available we shall focus on Octave, because on one hand it is a simple language, and on the other it is particularly efficient for scientific computing.
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#1Paola GervasioH-Index: 12
#2Alfio Quarteroni (Polytechnic University of Milan)H-Index: 83
INTERNODES is a general purpose method to deal with non-conforming discretizations of partial differential equations on 2D and 3D regions partitioned into two or several disjoint subdomains. It exploits two intergrid interpolation operators, one for transfering the Dirichlet trace across the interfaces, and the other for the Neumann trace. In this paper, in every subdomain the original problem is discretized by either the finite element method (FEM) or the spectral element method (SEM or hp-FEM)...
2 CitationsSource