Éditeur(s) : HAL CCSD CNRS-Editions
Résumé : Toute l'histoire des techniques de communication est intimement liée à l'histoire de l'éducation. Avant le cahier, la craie et le tableau, on savait, dans l'antiquité, recourir à diverses techniques pour construire des dispositifs socio-techniques susceptibles de faciliter l'apprentissage (Marrou, 1948). Les possibilités offertes par l'image et ses moyens successifs de diffusion ont été de même fondamentales dans la diffusion des connaissances. Ce fut d'abord l'image artisanale (vitraux et enluminures utilisés pour l'édification...). Puis l'image imprimée dès le début du seizième siècle (planches, éclatés, cartes...) et l'image projetée (de la lanterne magique aux diapositives). A partir du vingtième siècle, l'image audiovisuelle et la production industrielle (photographie, radio, cinéma, télévision...) ont croisé les systèmes éducatifs comme l'ont fait depuis une vingtaine d'années les techniques de numérisation des documents (sonores, iconiques et graphiques), les logiciels d'apprentissage, de simulation et de production, la transmission à travers des réseaux numériques, et les nouvelles formes de documents informatisés (hypertexte, écrit sur écran...)...
ISSN: 0767-9513

Droits : info:eu-repo/semantics/OpenAccess
edutice-00001307
https://edutice.archives-ouvertes.fr/edutice-00001307
https://edutice.archives-ouvertes.fr/edutice-00001307/document
https://edutice.archives-ouvertes.fr/edutice-00001307/file/hermes_SIC.pdf

Éditeur(s) : HAL CCSD American Physical Society
Résumé : International audience
This is the first of two papers investigating the mechanical response of cemented granular materials by means of contact dynamics simulations. In this paper, a two-dimensional polydisperse sample with high-void ratio is constructed and then sheared in a simple shear numerical device at different confinement levels. We study the macroscopic response of the material in terms of mean and deviatoric stresses and strains. We show that the introduction of a local force scale, i.e., the tensile strength of the cemented bonds, causes the material to behave in a rigid-plastic fashion, so that a yield surface can be easily determined. This yield surface has a concave-down shape in the mean: deviatoric stress plane and it approaches a straight line, i.e., a Coulomb strength envelope, in the limit of a very dense granular material. Beyond yielding, the cemented structure gradually degrades until the material eventually behaves as a cohesionless granular material. Strain localization is also investigated, showing that the strains concentrate in a shear band whose thickness increases with the confining stress. The void ratio inside the shear band at the steady state is shown to be a material property that depends only on contact parameters.
ISSN: 1539-3755

hal-00523453
https://hal.archives-ouvertes.fr/hal-00523453
DOI : 10.1103/PhysRevE.82.011303

Éditeur(s) : HAL CCSD American Geophysical Union
Résumé : International audience
Estimations of zenith total delays (ZTD) were obtained during postprocessing of a high-resolution (2.4 km) nonhydrostatic atmospheric model (Méso-NH). These estimations were used to determine their sensitivity with respect to formulations of atmospheric refractivity, the approximation of zenith hydrostatic delays (ZHD) deduced from ground pressure, and the contributions of hydrometeors. The factor k for the conversion of zenith wet delay (ZWD) to integrated water vapor (IWV) was examined. Méso-NH is applied here to the extreme flash flood event of 8–9 September 2002 in southeastern France. The use of the hydrostatic formulation (to infer ZHD) leads to an overestimation of up to 18 mm with respect to the vertical integration of refractivity. Delay contributions of hydrometeors simulated by the high-resolution model reached more than 70 mm (%11 kg/m 2 IWV) in the heart of the convective cells in the case of the extreme flood event. The mean variations of IWV due to the use of different conversion factors (k used to transform ZWD to IWV) are evaluated to be less than 0.3 kg/m 2. This is less than the mean underestimation of IWV by 0.6 kg/m 2 relative to the GPS-like evaluation of IWV using the hydrostatic formulation and the ground temperature. In this study we also use GPS ZTD observations to validate three different numerical simulations of this extreme flood event. The simulation with the best fit to the GPS observations is also in best agreement with the surface rainfall measurements.
ISSN: 2169-897X

hal-01417608
https://hal.archives-ouvertes.fr/hal-01417608
https://hal.archives-ouvertes.fr/hal-01417608/document
https://hal.archives-ouvertes.fr/hal-01417608/file/Brenot_JGR_2006.pdf
DOI : 10.1029/2004JD005726

Éditeur(s) : HAL CCSD Springer Verlag/EDP Sciences
Résumé : Key messageWe review the recent findings on the influence of drought on tree mortality, growth or ecosystem functioning in tropical rainforests. Drought plays a major role in shaping tropical rainforests and the response mechanisms are highly diverse and complex. The numerous gaps identified here require the international scientific community to combine efforts in order to conduct comprehensive studies in tropical rainforests on the three continents. These results are essential to simulate the future of these ecosystems under diverse climate scenarios and to predict the future of the global earth carbon balance.[br/]ContextTropical rainforest ecosystems are characterized by high annual rainfall. Nevertheless, rainfall regularly fluctuates during the year and seasonal soil droughts do occur. Over the past decades, a number of extreme droughts have hit tropical rainforests, not only in Amazonia but also in Asia and Africa. The influence of drought events on tree mortality and growth or on ecosystem functioning (carbon and water fluxes) in tropical rainforest ecosystems has been studied intensively, but the response mechanisms are complex.[br/]AimsHerein, we review the recent findings related to the response of tropical forest ecosystems to seasonal and extreme droughts and the current knowledge about the future of these ecosystems.[br/]ResultsThis review emphasizes the progress made over recent years and the importance of the studies conducted under extreme drought conditions or in through-fall exclusion experiments in understanding the response of these ecosystems. It also points to the great diversity and complexity of the response of tropical rainforest ecosystems to drought.[br/]ConclusionThe numerous gaps identified here require the international scientific community to combine efforts in order to conduct comprehensive studies in tropical forest regions. These results are essential to simulate the future of these ecosystems under diverse climate scenarios and to predict the future of the global earth carbon balance.
ISSN: 1286-4560

hal-01269438
https://hal.archives-ouvertes.fr/hal-01269438
DOI : 10.1007/s13595-015-0522-5
PRODINRA : 338568

Éditeur(s) : ESA Publication
Résumé : Satellite remote sensing has emerged as an essential and necessary observing system to acquire global information about the state of the ocean. Complemented with in situ observing networks, the ultimate goals are to be able to make accurate estimates of selected key sets of geophysical variables, with the intention of either making operational predictions across time and spatial boundaries, or advancing fundamental knowledge through development of empirical relationships and theoretical models. For satellite oceanography, improvements are then constantly being sought in our understandings of the geophysical processes, the sensor physics, the electromagnetic and microwave properties and interactions at the complex air-sea interface. Challenges appear as unlimited as the variety of sea surface dynamics and boundary layer meteorological conditions with their broad range of spatial and temporal scales across the globe. To face these challenges, numerous efforts took places over the passed decade to build an ever-increasing quality, quantity, duration and integration of ocean observations. In parallel, simulation capabilities largely improved. All these efforts are then all critically calling for improved methodologies to better structure the wealth of information that is made readily accessible. This latter aspect is a very demanding new component for future multidisciplinary scientific research. Major innovations to consolidate sensor data repositories, to automate tailored queries, to extract, reveal and quantify relationships will then closely associate computer science developments and applied statistics with comprehensive theoretical and experimental thematic studies.
Proceedings of OceanObs'09: Sustained Ocean Observations and Information for Society (ESA Publication), 2010

Droits : info:eu-repo/semantics/openAccess
http://archimer.ifremer.fr/doc/00029/14046/11241.pdf
DOI:10.5270/OceanObs09.pp.12
http://archimer.ifremer.fr/doc/00029/14046/

Résumé : In this study, we describe the dynamics of an equatorial river plume using a numerical model (NEMO). The Congo river parameters are used.
Ce rapport étudie la dynamique d'un panache fluvial en zone équatoriale à partir de simulations numériques idéalisées (code NEMO). Les paramètres du fleuve Congo (2ème fleuve mondial par le débit) sont utilisés.

Droits : info:eu-repo/semantics/openAccess
http://archimer.ifremer.fr/doc/00089/20042/17683.pdf
http://archimer.ifremer.fr/doc/00089/20042/

Éditeur(s) : HAL CCSD European Geosciences Union
Résumé : International audience
Impact of GPS (Global Positioning System) data assimilation is assessed here using a high-resolution numerical weather prediction system at 2.5 km horizontal resolution. The Zenithal Tropospheric Delay (ZTD) GPS data from mesoscale networks are assimilated with the 3DVAR AROME data assimilation scheme. Data from more than 280 stations over the model domain have been assimilated during 15-day long assimilation cycles prior each of the two studied events. The results of these assimilation cycles show that the assimilation of GPS ZTD with the AROME system performs well in producing analyses closer to the ZTD observations in average. Then the impacts of assimilating GPS data on the precipitation forecast have been evaluated. For the first case, only the AROME runs starting a few hours prior the triggering of the convective system are able to simulate the convective precipitation. The assimilation of GPS ZTD observations improves the simulation of the spatial extent of the precipitation, but slightly underestimates the heaviest precipitation in that case compared with the experiment without GPS. The accuracy of the precipitation forecast for the second case is much better. The analyses from the control assimilation cycle provide already a good description of the atmosphere state that cannot be further improved by the assimilation of GPS observations. Only for the latest day (22 November 2007), significant differences have been found between the two parallel cycles. In that case, the assimilation of GPS ZTD allows to improve the first 6 to 12 hours of the precipitation forecast.
ISSN: 0992-7689

hal-00403847
https://hal.archives-ouvertes.fr/hal-00403847
https://hal.archives-ouvertes.fr/hal-00403847/document
https://hal.archives-ouvertes.fr/hal-00403847/file/angeo-27-2739-2009.pdf

Éditeur(s) : HAL CCSD Elsevier
Résumé : We present the hierarchical matrix (H-matrix) technique combined with the adaptive cross-approximation (ACA) applied to a three-dimensional (3D) elastostatic problem using the boundary element method (BEM). This is used in structural geology and geomechanics for the evaluation of the deformation and perturbed stress field associated with surfaces of displacement discontinuity. Such optimization significantly reduces (i) the time and memory needed for the resolution of the system of equations, but more importantly (ii) the time needed for the post-processing at observation points where the deformation and the perturbed stress field are evaluated. Specifically, it is shown that the H-matrix structure used with the ACA, clearly captures the kernel smoothness during the post-processing stage according to the field point positions, and optimizes the computation accordingly. Combined with the parallelization on multi-core processors, this technique allows intensive computations to be done on personal desktop and laptop computers. Numerical simulations are presented, showing the advantages of such optimizations compared to the standard method.
ISSN: 0955-7997

hal-00561032
https://hal.archives-ouvertes.fr/hal-00561032
DOI : 10.1016/j.enganabound.2009.10.016

Éditeur(s) : HAL CCSD American Physical Society
Résumé : International audience
This is the second of two papers investigating the mechanical response of cemented granular materials by means of contact dynamics simulations. In this paper, a two-dimensional polydisperse sample with high void ratio is sheared in a load-controlled simple shear numerical device until the stress state of the sample reaches the yield stress. We first study the stress transmission properties of the granular material in terms of the fabric of different subsets of contacts characterized by the magnitude of their normal forces. This analysis highlights the existence of a peculiar force carrying structure in the cemented material, which is reminiscent of the bimodal stress transmission reported for cohesionless granular media. Then, the evolution of contact forces and torques is investigated trying to identify the micromechanical conditions that trigger macroscopic yielding. It is shown that global failure can be associated to the apparition of a group of particles whose contacts fulfill at least one of the local rupture conditions. In particular, these particles form a large region that percolates through the sample at the moment of failure, evidencing the relationship between macroscopic yielding and the emergence of large-scale correlations in the system.
ISSN: 1539-3755

hal-00523451
https://hal.archives-ouvertes.fr/hal-00523451
DOI : 10.1103/PhysRevE.82.011304

Éditeur(s) : HAL CCSD
Résumé : International audience
The increasing development of world trade has promoted the spread of diseases. Recent events, like the H1N1 outbreak and spread, have confirmed this tendency. Everyone could observe that this kind of infectious disease often has the ability to cross countries borders and spread rapidly. Preventing, monitoring and controlling the outbreak of these diseases have appeared to be a public health problem of primary importance for years. However, although numerous works have been conducted in order to understand and study epidemics, this subject remains a topical issue because of the complexity of the phenomena. In this paper, we present new opportunities offered by the field of social networks for understanding the spread of infectious diseases. This work focuses both on techniques already used in epidemiology, and very recent works in social network analysis that open new perspectives. We give an overview of methods currently used to model and study the spread of diseases and future directions that the social network approach allows to glimpse.
2011 Fifth International Conference on Research Challenges in Information Science (RCIS)
Gosier, Guadeloupe

hal-00624364
https://hal.archives-ouvertes.fr/hal-00624364
DOI : 10.1109/RCIS.2011.6006866

Éditeur(s) : HAL CCSD
Résumé : International audience
Semi-volatile organic compounds (SVOCs) partition indoors between the gas phase, airborne particles, settled dust, and other surfaces. Unknown concentrations of SVOCs in the gas phase (Cg) can be predicted from their measured concentrations in airborne particles. In previous studies, the prediction of Cg depended largely on choosing a specific equation for the calculation of the particle/gas partition coefficient. Moreover, the prediction of Cg is frequently performed at a reference temperature rather than the real indoor temperature. In this paper, a probabilistic approach based on Monte Carlo simulation was developed to predict the distribution of SVOCs' Cg from their concentrations in airborne particles at the target indoor temperature. Moreover, the distribution of the particle/gas partition coefficient of each SVOC at the target temperature was used. The approach was validated using two measured datasets in the literature: the predicted Cg from concentrations measured in airborne particles and the measured Cg were generally of the same order of magnitude. The distributions of the Cg of 66 SVOCs in the French housing stock were then predicted. The SVOCs with the highest median Cg, ranging from 1 ng/m3 to > 100 ng/m3, included 8 phthalates (DEP, DiBP, DBP, DEHP, BBP, DMP, DiNP, and DMEP), 4 polycyclic aromatic hydrocarbons (fluorene, phenanthrene, fluoranthene, and anthracene), 2 alkylphenols (4-tert-butylphenol and 4-tert-octylphenol), 2 synthetic musks (galaxolide and tonalide), tributyl phosphate, and heptachlor. The nationwide, representative, predicted Cg values of SVOCs are frequently of the same order of magnitude in Europe and North America, whereas these Cg values in Chinese and Indian dwellings and the Cg of polybrominated diphenyl ethers in U.S. dwellings are generally higher. © 2016 Elsevier B.V.
Science of the Total Environment

hal-01467547
https://hal-univ-rennes1.archives-ouvertes.fr/hal-01467547
DOI : 10.1016/j.scitotenv.2016.10.074
PUBMED : 27788447

Éditeur(s) : HAL CCSD Optical Society of America
Résumé : International audience
A linear least square (LLS) method is proposed to process polarization dependent SHG intensity analysis at pixel-resolution level in order to provide an analytic solution of nonlinear susceptibility χ(2) coefficients and of fibril orientation. This model is applicable to fibrils with identical orientation in the excitation volume. It has been validated on type I collagen fibrils from cell-free gel, tendon and extracellular matrix of F1 biliary epithelial cells. LLS is fast (a few hundred milliseconds for a 512 × 512 pixel image) and very easy to perform for non-expert in numerical signal processing. Theoretical simulation highlights the importance of signal to noise ratio for accurate determination of nonlinear susceptibility χ(2) coefficients. The results also suggest that, in addition to the peptide group, a second molecular nonlinear optical hyperpolarizability β contributes to the SHG signal. Finally from fibril orientation analysis, results show that F1 cells remodel extracellular matrix collagen fibrils by changing fibril orientation, which might have important physiological function in cell migration and communication.
ISSN: 1094-4087

hal-01139871
https://hal.archives-ouvertes.fr/hal-01139871
DOI : 10.1364/OE.23.013309
PUBMED : 26074581

Éditeur(s) : HAL CCSD
Résumé : International audience
Although earthquakes and tsunamis are less frequent in the Dover Straitthan over active subduction zones, a plausible potential exists for intraplate earthquakes of magnitude Mw=6.9 generating a tsunami with damaging consequences. In April 1580, an earthquake shook the region violently and destructions were reported as far as London in the north andRouen in the south. Despite fair weather conditions, a series of abnormal sea waves was reported in several harbours (Calais, Boulogne and Dover) on the same day. A first step was to produce a range of numerical coseismic tsunami simulations and to compare them with historical witness accounts. Results raise the question of whether such earthquakes could also triggerchalk flow-generated tsunamis along cliff lines on both sides of the Strait. Gravity-driven collapses affect thechalk cliffs periodically, but local tsunami waves caused by very large mass movements could reach heights of several meters and, for example, strike Dover.
Proceedings of the 15th World Conference on Earthquake Engineering
Lisbonne, Portugal

halshs-01291496
https://halshs.archives-ouvertes.fr/halshs-01291496

Éditeur(s) : HAL CCSD De Gruyter
Résumé : International audience
The data available in the literature concerning wood cutting forces permit to build models or to simulate the main wood machining processes (milling, sawing, peeling etc.). This approach contributes to a better understanding of formation of wood surfaces and chips and the data may be helpful to optimize cutting geometry, reduce tool wear, improve tool material, and to size tool-machines. The models may also be useful for industrial application in two ways: (1) providing data to optimise the settings for a given operation (batch approach) and (2) building predictive models that could be the basis of an online control systems for the machining processes (interactive approach). A prerequisite for this is that numerous machining tests on different wood materials are performed based on experiences with different kind of tools and experimental devices. With potential industrial applications in focus, the emphasis of this review was on the wood peeling process, which is a very demanding special case of wood cutting. Though not so many industrial machines are equipped with expensive force sensors, there is a lot of high quality information available about cutting forces which may be useful to improve the scientific or technologic knowledge in wood machining. Alternative parameters, such as vibration or sound measurements, appear to be promising substitutes in the praxis, particularly to feed online control systems of any wood cutting process.
ISSN: 0018-3830

hal-00876003
https://hal.archives-ouvertes.fr/hal-00876003
https://hal.archives-ouvertes.fr/hal-00876003/document
https://hal.archives-ouvertes.fr/hal-00876003/file/LABOMAP_Holzforschung_2009_denaud.pdf
ENSAM : http://hdl.handle.net/10985/7419

Éditeur(s) : HAL CCSD De Gruyter
Résumé : COST Action E35 : Fracture mechanics and micromechanics of wood and wood composites with regard to wood machining
The data available in the literature concerning wood cutting forces permits to build models or to simulate the main wood machining processes ( milling, sawing, peeling, etc.). This approach contributes to a better understanding of formation of wood surfaces and chips and the data may be helpful to optimise cutting geometry, reduce tool wear, improve tool material, and to size tool-machines. The models may also be useful for industrial application in two ways: ( 1) providing data to optimise the settings for a given operation ( batch approach), and ( 2) building predictive models that could be the basis of an online control system for the machining processes ( interactive approach). A prerequisite for this is that numerous machining tests on different wood materials are performed based on experiences with different kind of tools and experimental devices. With a focus on potential industrial applications, the emphasis of this review was on the wood peeling process, which is a very demanding special case of wood cutting. Although not so many industrial machines are equipped with expensive force sensors, there is a lot of high quality information available about cutting forces which may be useful to improve the scientific or technological knowledge in wood machining. Alternative parameters, such as vibration or sound measurements, appear to be promising substitutes in the praxis, particularly to feed online control systems of any wood cutting process.
ISSN: 0018-3830

hal-01032121
https://hal.archives-ouvertes.fr/hal-01032121
DOI : 10.1515/HF.2009.014

Éditeur(s) : HAL CCSD Springer Verlag
Résumé : International audience
Electrical resistivity soundings are used by geophysicists to determine the structure and composition of the Earth's crust and mantle and to explore natural resources (ore, oil, gas, water). Their interpretations in terms of composition and in-situ physical conditions depend mainly on laboratory measurements of electrical conductivity of rocks at simulated crustal conditions of temperature, pressure, saturation and pore pressures. These measurements present a numbers of limitations, in particular, in the case where conductive pore fluids are present, as in the case of deep reservoir conditions, where temperature exceeds 250 A degrees C. Here, we present a new cell capable of measuring electrical conductivity of large saturated samples at confining pressure up to 200 MPa, pore pressure up to 50 MPa, and temperature up to 500 A degrees C. The measurement cell has been developed in a commercial, internally heated, gas pressure apparatus (Paterson press). It is based on the concept of "guard ring" electrode, which is adapted to samples that are jacketed by a very conductive, metallic material. Numerical modeling of the current flow in the electrical cell allowed defining the optimal cell geometry. Calibration tests have been performed on Fontainebleau sandstones saturated with electrolytes of different conductivities, up to 350 A degrees C. The resulting electrical formation factor and temperature dependence of electrical conductivity are in very good agreement with previous studies. This new cell will improve the exploration and exploitation of deep fluid reservoirs, as in unconventional, high enthalpy geothermal fields. In particular, the investigations address possible effects of fluid-rock interactions on electrical resistivity of a reservoir host rock.
ISSN: 0169-3913

hal-00681997
https://hal.archives-ouvertes.fr/hal-00681997
DOI : 10.1007/s11242-011-9846-2

Éditeur(s) : HAL CCSD
Résumé : International audience
The way faults control upward fluid flow in extensive hydrothermal systems without an abnormal heat source such as volcanic or plutonic activity is still unclear. In the Eastern Pyrénées, an alignment of 29 hot springs (from 29 • C to 73 • C) along the Têt normal Fault offers the opportunity to study this process. Using an integrated multi-scale geological approach including mapping, remote sensing, macro and microscopic analyses of fault zones, we show that hot springs locate close to high topographic reliefs related to fault throw and segmentation. Emergences are always in crystalline rocks at gneiss-metasediments contacts, mostly in the Têt Fault footwall. In more details, they localize either (1) in brittle fault damage zones at the intersection between the Têt Fault and subsidiary faults, and (2) into hercynian ductile faults where dissolution cavities run along shear zones. Using these observations and 2D preliminary numerical simulations, we propose a hydrogeological model of upward hydrothermal flow. Meteoric fluids infiltrate at high altitude in the fault footwall relief where they acquire temperature because of the geothermal gradient. Hydraulic gradient and buoyancy forces allow them to upflow along fault-related permeability anisotropies. The identification and prioritization of the features controlling this kind of system have important implications for geothermal exploration and for the understanding of fluid-flow into the brittle Earth's crust in general.
EGU 2017
Vienne, Austria

hal-01491096
https://hal-brgm.archives-ouvertes.fr/hal-01491096
https://hal-brgm.archives-ouvertes.fr/hal-01491096/document
https://hal-brgm.archives-ouvertes.fr/hal-01491096/file/EGU2017-Taillefer-etal_4996.pdf

Éditeur(s) : HAL CCSD
Résumé : International audience
The calculation of Fock-Exchange integral is becoming an important computational challenge in solving the quantum properties of systems with many electrons. In this work we show how techniques that are used in electromagnetic simulations for the similar Poisson equation can help in accelerating the calculation of such exchange integrals. The approach we present can be especially efficient for quasi-planar systems such as Graphene nano-ribbons (GNRs) or elongated systems such as carbon nano-tubes (CNTS) and the 1D Carbyne.
16th International Conference on Electromagnetics in Advanced Applications, ICEAA 2014
Palm Beach, Aruba

hal-01398279
https://hal.archives-ouvertes.fr/hal-01398279

Éditeur(s) : HAL CCSD
Résumé : International audience
Numerous social network mining methods have been proposed until now for addressing social mining tasks and specially searching for communities or frequent social patterns. However, the degree of complementarity of these methods has been very little studied. In this paper, we focus on two knowledge extraction processes in social networks: a link-based clustering that may extract social communities and a recent approach that searches for frequent conceptual link involving both clustering and search for frequent social patterns. We explore how the models extracted by each method may match and which potential useful knowledge they may provide. Our objective is to evaluate the potential relationships between communities and frequent conceptual links. For this purpose, we propose a set of measures for evaluating the degree to which these patterns extracted from the same dataset are matching. Our approach is applied on two datasets and demonstrates the importance of considering simultaneously various kinds of knowledge and their complementarity.
IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining
Niagara falls, Canada

hal-00874351
https://hal.archives-ouvertes.fr/hal-00874351

Éditeur(s) : HAL CCSD
Résumé : Nous proposons dans cet article de mettre en avant quelques idées pour la simulation numérique de plusieurs classes d'équations d'ondes dispersives (KdV, Benjamin-Ono) ou non (Kuramoto-Sivashinski) par des méthodes multiniveaux. Nous partons des idées initialement développés pour les équations dissipatives et en proposons une extension. Il en ressort que la présence d'une régularisation en temps est nécessaire pour pouvoir traiter de manière stable, et avec des schémas appropriés, les différentes échelles de la solution, préalablement générées à l'aide de méthodes hierarchiques (inconnues incrémentales, ondelettes, Fourier)
https://hal.inria.fr/inria-00271154

inria-00271154
https://hal.inria.fr/inria-00271154
https://hal.inria.fr/inria-00271154/document
https://hal.inria.fr/inria-00271154/file/cclz.pdf