L’apprentissage adaptatif distribué sur les réseaux permet à un ensemble d’agents de résoudre des problèmes d’estimation de paramètres en ligne en se basant sur des calculs locaux et sur des échanges locaux avec les voisins immédiats. La littérature sur l’estimation distribuée considère essentiellement les problèmes à simple tâche, où les agents disposant de fonctions objectives séparables doivent converger vers un vecteur de paramètres commun. Cependant, dans de nombreuses applications nécessitant des modèles plus complexes et des algorithmes plus flexibles, les agents ont besoin d’estimer et de suivre plusieurs vecteurs de paramètres simultanément. Nous appelons ce type de réseau, où les agents doivent estimer plusieurs vecteurs de paramètres, réseau multitâche. Bien que les agents puissent avoir différentes tâches à résoudre, ils peuvent capitaliser sur le transfert inductif entre eux afin d’améliorer les performances de leurs estimés. Le but de cette thèse est de proposer et d’étudier de nouveaux algorithmes d’estimation distribuée sur les réseaux multitâches. Dans un premier temps, nous présentons l’algorithme diffusion LMS qui est une stratégie efficace pour résoudre les problèmes d’estimation à simple-tâche et nous étudions théoriquement ses performances lorsqu’il est mis en oeuvre dans un environnement multitâche et que les communications entre les noeuds sont bruitées. Ensuite, nous présentons une stratégie de clustering non-supervisé permettant de regrouper les noeuds réalisant une même tâche en clusters, et de restreindre les échanges d’information aux seuls noeuds d’un même cluster / Distributed adaptive learning allows a collection of interconnected agents to perform parameterestimation tasks from streaming data by relying solely on local computations and interactions with immediate neighbors. Most prior literature on distributed inference is concerned with single-task problems, where agents with separable objective functions need to agree on a common parameter vector. However, many network applications require more complex models and flexible algorithms than single-task implementations since their agents involve the need to estimate and track multiple objectives simultaneously. Networks of this kind, where agents need to infer multiple parameter vectors, are referred to as multitask networks. Although agents may generally have distinct though related tasks to perform, they may still be able to capitalize on inductive transfer between them to improve their estimation accuracy. This thesis is intended to bring forth advances on distributed inference over multitask networks. First, we present the well-known diffusion LMS strategies to solve single-task estimation problems and we assess their performance when they are run in multitask environments in the presence of noisy communication links. An improved strategy allowing the agents to adapt their cooperation to neighbors sharing the same objective is presented in order to attain improved learningand estimation over networks. Next, we consider the multitask diffusion LMS strategy which has been proposed to solve multitask estimation problems where the network is decomposed into clusters of agents seeking different

In this work we study several important properties of the 2-microlocal Besov and Triebel-Lizorkin spaces with variable integrability. Due to the richness of the weight sequence used to measure smoothness, this scale of function spaces incorporates a wide range of function spaces, of which we mention the spaces with variable smoothness. Within the existing characterizations of these spaces, the characterization via smooth atoms is undoubtedly one of the most used when it comes to obtain new results in varied directions. In this work we make use of such characterization to prove several embedding results, such as Sobolev, Franke and Jawerth embeddings, and also to study traces on hyperplanes. Despite the considerable benefits of resorting on the smooth atomic decomposition, there are still some limitations when one tries to use it in order to prove some specific results, such as pointwise multipliers and diffeomorphisms assertions. The non-smooth atomic characterization proved in this work overcome these problems, due to the weaker conditions of the (non-smooth) atoms. Moreover, it also allows us to give an intrinsic characterization of the 2-microlocal Besov and Triebel-Lizorkin spaces with variable integrability on the class of regular domains, in which connected bounded Lipschitz domains are included. / In dieser Arbeit untersuchen wir einige wichtige Eigenschaften der 2-microlokalen Besov und Triebel-Lizorkin Räume mit variabler Integrabilität. Weil die Glattheit hier mit einer reicher Gewichtsfolge gemessen wird, beinhaltet diese Skala von Funktionsräumen eine große Anzahl von Funktionsräumen, von denen wir die Räume mit variabler Glattheit erwähnen. Innerhalb der vorhandenen Charakterisierungen dieser Räume ist die Charakterisierung mit glatten Atomen zweifellos eine der am häufigsten verwendeten, um neue Ergebnisse in verschiedenen Richtungen zu erhalten. In dieser Arbeit verwenden wir eine solche Charakterisierung, um mehrere Einbettungsergebnisse zu bewiesen, wie Sobolev-Einbettungen und Einbettungen vom Franke-Jawerth Typ, und auch Spurresultate zu untersuchen. Trotz der beträchtlichen Vorteile des Rückgriffs auf die glatte Atomaren-Zerlegung gibt es immer noch einige Einschränkungen, wenn man versucht, sie zu verwenden, um einige spezifische Ergebnisse zu beweisen, wie beispielsweise punktweise Multiplikatoren und Diffeomorphismen-Assertionen. Die nichtglatte atomare Charakterisierung, die wir in dieser Arbeit beweisen, überwindet diese Probleme aufgrund der schwächeren Bedingungen von (nichtglatten) Atomen. Außerdem erlaubt es uns, eine Intrinsische Charakterisierung der 2-mikrolokalen Besov- und Triebel-Lizorkin-Räume mit variabler Integrabilität auf regulärer Gebieten zu geben.

The objective of our studies is the combination of electromagnetic and direct current (DC) resistivity methods in a joint inversion approach to improve the reconstruction of a given conductivity distribution. We utilize the distinct sensitivity patterns of different methods to enhance the overall resolution power and ensure a more reliable imaging result. In order to simplify the work with more than one electromagnetic method and establish a flexible and state-of-the-art software basis, we developed new DC resistivity and electromagnetic forward modeling and inversion codes based on finite elements of second order on unstructured grids. The forward operators are verified using analytical solutions and convergence studies before we apply a regularized Gauss-Newton scheme and successfully invert synthetic data sets. Finally, we link both codes with each other in a joint inversion. In contrast to most widely used joint inversion strategies, where different data sets are combined in a single least-squares problem resulting in a large system of equations, we introduce a sequential approach that cycles through the different methods iteratively. This way, we avoid several difficulties such as the determination of the full set of regularization parameters or a weighting of the distinct data sets. The sequential approach makes use of a smoothness regularization operator which penalizes the deviation of the model parameters from a given reference model. In our sequential strategy, we use the result of the preceding individual inversion scheme as reference model for the following one. We successfully apply this approach to synthetic data sets and show that the combination of at least two methods yields a significantly improved parameter model compared to the individual inversion results. / Ziel der vorliegenden Arbeit ist die gemeinsame Inversion (\"joint inversion\") elektromagnetischer und geoelektrischer Daten zur Verbesserung des rekonstruierten Leitfähigkeitsmodells. Dabei nutzen wir die verschiedenartigen Sensitivitäten der Methoden aus, um die Auflösung zu erhöhen und ein zuverlässigeres Ergebnis zu erhalten. Um die Arbeit mit mehr als einer Methode zu vereinfachen und eine flexible Softwarebasis auf dem neuesten Stand der Forschung zu etablieren, wurden zwei Codes zur Modellierung und Inversion geoelektrischer als auch elektromagnetischer Daten neu entwickelt, die mit finiten Elementen zweiter Ordnung auf unstrukturierten Gittern arbeiten. Die Vorwärtsoperatoren werden mithilfe analytischer Lösungen und Konvergenzstudien verifiziert, bevor wir ein regularisiertes Gauß-Newton-Verfahren zur Inversion synthetischer Datensätze anwenden. Im Gegensatz zur meistgenutzten \"joint inversion\"-Strategie, bei der verschiedene Daten in einem einzigen Minimierungsproblem kombiniert werden, was in einem großen Gleichungssystem resultiert, stellen wir schließlich einen sequentiellen Ansatz vor, der zyklisch durch die einzelnen Methoden iteriert. So vermeiden wir u.a. eine komplizierte Wichtung der verschiedenen Daten und die Bestimmung aller Regularisierungsparameter in einem Schritt. Der sequentielle Ansatz wird über die Anwendung einer Glättungsregularisierung umgesetzt, bei der die Abweichung der Modellparameter zu einem gegebenen Referenzmodell bestraft wird. Wir nutzen das Ergebnis der vorangegangenen Einzelinversion als Referenzmodell für die folgende Inversion. Der Ansatz wird erfolgreich auf synthetische Datensätze angewendet und wir zeigen, dass die Kombination von mehreren Methoden eine erhebliche Verbesserung des Inversionsergebnisses im Vergleich zu den Einzelinversionen liefert.

För att uppnå ett hållbart samhälle krävs en omställning av transportsystemet. Region Stockholmsmålsättning är att andelen cykelresor ska mer än dubbleras till år 2030 och stå för 20% av alla resor ilänet. Bristande underhåll och dålig utformning på cykelbanor står för ca 60% av allvarligasingelolyckor på cykel. Denna ökning av cykelresor ställer därmed höga krav på utformning ochunderhåll av cykelinfrastrukturen. För att cykelbanans komfort ska vara god, krävs det attcykelbanan är jämn, vilket kan komma i konflikt med brunnslock, då det ofta uppstår sättningar ibeläggningen omkring brunnarna. Brunnslocken kan upplevas som obehagliga att cykla över och haräven lägre friktion än omkringliggande yta. Detta kan resultera i halka vilket särskilt är påtagligt närvägbanan är fuktig. Brunnslock är vanligt förekommande på cykelbanor, i denna studie inventeradesde centrala delarna av elva regionala cykelstråk och där förekom ca 1200 brunnslock. Dessa var avvarierande storlek, position i cykelbanan och höjdläge jämfört med den omkringliggandebeläggningen. Brunnslock kan vara ett potentiellt hinder på cykelbanor, vilket minskar cykelbananstillgängliga bredd. Cykelbanans tillgängliga bredd är den yta som är funktionellt möjlig att cykla på.Konstruerad bredd är däremot den bredd cykelbanan byggdes med utan hänsyn till eventuellahinder.Syftet med studien är att undersöka ifall brunnslock, specifikt manhålsbrunnar och kabelbrunnar,anses vara ett hinder för cyklister på cykelbanor och hur brunnslocken påverkar den tillgängligabredden på de fyra studieplatserna. Den tillgängliga bredden på studieplatserna jämförs medrekommenderade cykelbanebredder i handböcker. Studien avgränsades för att eftersträvastudieplatsernas likvärdighet och att enbart brunnslockens egenskaper skilde studieplatserna åt. Destuderade brunnslocken var: manhålsbrunn med och utan kant samt kabelbrunn med och utan kant.Studiens resultat visar det finns en skillnad mellan situationer med och utan mötande cyklist.Majoriteten av cyklisterna håller sig till höger om brunnslocken oberoende av möte eller ej möte,vilket kan bero på deras naturliga sidledsposition. När det inte är möte väljer många att cykla tillvänster om brunnslocken. Däremot, i situationer med möte väljer nästan ingen att cykla till vänsterom brunnslocken. Minskningen i antal som cyklar vänster om brunnslocken vid möte motsvararungefär ökningen i antal som cyklar höger om brunnslocken i samma situation. Antalet som cyklaröver brunnslock skiljer sig marginellt mellan situationer med och utan möte. Detta kan tolkas somatt cyklister byter sida om brunnslocken och undviker att cykla över dem. Vid de fyra studieplatsernaär det få som cyklar över brunnslocken vilket gör att dessa brunnslock troligen bör ses som etthinder som minskar den tillgängliga bredden.Det kan konstateras att de undersökta kabelbrunnarna är ett större hinder för cyklister änmanhålsbrunnarna. Brunnslock med kant är ett större hinder än brunnslock utan kant. Fler brunnarbehöver studeras innan det går att dra mer generella slutsatser om brunnslock på cykelbanor. Dettagäller både de undersökta brunnarna och andra sorters brunnar.Den tillgängliga bredden på studieplatserna jämfördes med rekommenderade cykelbanebredder idessa handböcker: VGU, GCM-handboken, Stockholms läns regionala cykelplan, Stockholmscykelplan, Cykeln i staden och Solnas cykelplan. Bredderna som rekommenderas i handböckernauppfylls inte sett till den tillgängliga bredden på studieplatserna. / The transport system must transform to achieve a sustainable society. Region Stockholm's goal is forthe proportion of bicycle trips to more than double by 2030 and account for 20% of all trips in thecounty. Lack of maintenance and poor cycle paths account for about 60% of serious single accidentson bicycles. This increase consequently places high demands on the design and maintenance of thebicycle infrastructure. For the cycle path's comfort to be good, it is required that the cycle pathremains even, which can come into conflict with manhole covers, as subsidence often occur at andaround the manholes. The manhole covers can be experienced as unpleasant to cycle over and havelower friction than the surrounding surface. This can cause skidding, especially if the road surface iswet. Manhole covers are common on cycle paths, in this study 1 200 manhole covers were found onthe central parts of eleven regional cycle paths. These were of varying size, position in the cycle pathand height compared to the surrounding pavement. Manhole covers can be a potential obstacle oncycle paths, which reduces the available width of the cycle path. The available width of the cyclepath is the surface that is functionally possible to cycle on. Constructed width, on the other hand, isthe width the cycle path was built with without regard to any obstacles.The purpose of the study is to investigate whether manhole covers are considered an obstacle forcyclists on cycle paths and how the manhole covers affect the available width of the four study sites.The available width of the study sites is compared with recommended cycle path widths inguidelines. The study was delimited to strive for the equivalence of the study sites and that only theproperties of the manhole covers separated the study sites. Two types of manhole covers werestudied and these two types were also studied with and without edges.The results of the study show that there is a difference between situations with and without anoncoming cyclist. A majority of cyclists stay to the right of the manhole covers regardless ofoncoming cyclist or not, which may be due to their natural lateral position. When there is nooncoming cyclist, many choose to cycle to the left of the manhole covers. However, in situations ofencounter, almost no one chooses to cycle to the left of the manhole covers. The decrease in thenumber of cyclists to the left of the manhole covers at an encounter roughly corresponds to theincrease in the number of cyclists to the right of the manhole covers in the same situation. Thenumber who cycle over manhole covers differs marginally between situations with and withoutoncoming cyclists. This can be interpreted as cyclists changing sides of the manhole covers andavoiding cycling over them. At the four study sites, few people cycle over the manhole covers, whichmeans that these manhole covers should probably be seen as an obstacle that reduces the availablewidth.It can be stated that the manhole covers with edges are a greater obstacle than manhole coverswithout edges. More manholes need to be studied before it is possible to draw more generalconclusions about manhole covers on cycle paths. This applies to both the investigated manholesand other types of manholes.The available width of the study places was compared with the recommended cycle path widths inthese guidelines: “VGU”, “GCM-handboken”, “Stockholm County's regional cycle plan”, “Stockholm'scycle plan”, “Cykeln i staden” and “Solna's cycle plan”. The widths recommended in the guidelinesare not met in terms of the available width of the study places.

The ability to generate accurate approximations of derivatives holds significant importance in numerous scientific fields, including chemistry, economics and fluid mechanics. This thesis is centred around extracting hidden information in data using Smoothness-Increasing Accuracy-Conserving (SIAC) filters. The target application is in calculating derivatives in simulations of fluid flow. SIAC filters are based on convolution. Because of the properties used to construct the convolution kernel, we are able to design post-processing filters that can extract extra derivative information with high accuracy. In the past, these filters have typically had a tensor-product structure, which requires multi-dimensional filtering. Because of this, the filtering process can be very computationally expensive. The goal of this thesis is to develop one-dimensional line filters that are able to extract the derivative information more efficiently. By utilizing line filters, we aim to significantly cut the computational cost of the filtering process, while also maintaining the high accuracy. / Att kunna generera approximeringar av derivator med hög noggrannhet har stor användning inom många vetenskapliga områden, inklusive kemi, ekonomi och strömningsmekanik. Denna uppsats är fokuserad på att extrahera dold information i data med hjälp av en specifik typ av faltningsfilter. Dessa filter kan öka kontinuitetsgraden av data utan att minska noggrannheten. Den avsedda tilläpningen för dessa filter är inom strömningsmekanik, framförallt beräkning av derivator i flöden. Tack vare egenskaperna som används för att konstruera faltningskärnan kan vi utforma efterbehandlingsfilter som kan extrahera derivatainformation med hög noggrannhet. Tidigare har dessa filter ofta haft en tensorproduktstruktur, vilket kräver flerdimensionell filtrering. På grund av detta har filtreringen ofta en hög beräkningskostnad. Målet med denna uppsats är att utveckla endimensionella linjefilter som kan extrahera derivatainformation mer effektivt. Syftet är att använda dessa linjefilter för att betydligt miska filtreringens beräkningskostnad och samtidigt behålla den höga noggrannheten.

En aquest treball es defineix el concepte de generador additiu de t–normes i de t–conormes discretes. S’hi estableixen resultats generals sobre la generació additiva de disjuncions i les caracteritzacions dels generadors de les t–conormes bàsiques. Es planteja un algorisme per a decidir quan una disjunció és additivament generable, basat en l’algorisme Gamma de la teoria de convexitat. S’estudia la relació que hi ha entre la generació additiva amb la suma ordinal i amb l’anidament. S’introdueixen els conceptes de generador concau i generador convex. S’estudia la generació additiva de les disjuncions i les t–conormes suaus i bivalents sobre L*. S’insisteix amb l’aplicabilitat de la generació additiva quan es tracta de manejar la condició de T–transitivitat per a relacions d’indistingibilitat discretes. Finalment, s’estudia la relació que hi ha entre la generació additiva d’una t–conorma S i les propietats de l’S–implicació corresponent. Amb motiu de les propietats d’ordre i modus ponens generalitzat, es defineixen els generadors mixtos

Infrastructure is presenting significant national and global challenges. Whilst often seen as performing well, infrastructure tends to do so against only limited terms of reference and short-term objectives. Given that the world is facing a new infrastructure bill of ~£40T, improving the benefits delivered by existing infrastructure is vital (Dobbs et al., 2013). This thesis investigates strategic intent and the management of infrastructure systems; how factors such as organisational structure and business practice affect outcomes and the ways in which those systems — not projects — are managed. To date, performance has largely been approached from the perspective of project investment and/or delivery, or the assessment of latent failures arising from specific shocks or disruptive events (e.g. natural disaster, infrastructure failures, climate change). By contrast, the delivery of system-level services and outcomes across the infrastructure system has been rarely examined. This is where infrastructure forms an enduring system of services, assets, projects, and networks each at different stages of their lifecycle, and affecting one another as they develop, then age. Yet system performance, which also includes societal, organisational, administrative and technical factors, is arguably the level relevant to, and the reality of, day-to-day public infrastructure management. This research firstly investigated industry perceptions in order to test and confirm the problem: the nub of which was the inability to fully deliver appropriate and relevant infrastructure outcomes over the long term. Three detailed studies then explored the reasons for this problem through different lenses; thereby providing an evidence-base for a range of issues that are shared by the wider infrastructure industry. In confirming its hypothesis that “the strategic intent and the day-to-day management of infrastructure systems are often misaligned, with negative consequences for achieving the desired long-term infrastructure system outcomes”, this research has increased our understanding of the ways in which that misalignment occurs, and the consequences that result. It found those consequences were material, and frequently not visible within the sub-system accountable for the delivery of those outcomes. That public infrastructure exists, not in its own right, but to be of benefit to society, is a central theme drawn from the definition of infrastructure itself. This research shows that it is not enough to be focused on technical outcomes. Infrastructure needs to move beyond how society interacts with an asset, to the outcomes that reflect the needs, beliefs, and choices of society as well as its ability to respond to change (aptitude). Although the research has confirmed its hypothesis and three supporting propositions, the research does not purport to offer ‘the solution’. Single solutions do not exist to address the challenges facing a complex adaptive system such as infrastructure. But the research does offer several system-oriented sense-making models at both the detailed and system-level. This includes the probing methodology by way of a diagnostic roadmap. These models aim to assist practitioners in managing the transition of projects, assets, and services into a wider infrastructure system, their potential, and in (re)orienting the organisation to the dynamic nature of the system and its societal imperative.

Tactile perception is considered an important contributor to the overall consumer experience of a product. However, what physical properties that create the specifics of tactile perception, are still not completely understood. This thesis has researched how many dimensions that are required to differentiate the surfaces perceptually, and then tried to explain these dimensions in terms of physical properties, by interconnecting human perception measurements with various physical measurements. The tactile perception was assessed by multidimensional scaling or magnitude estimation, in which methods human participants assign numbers to how similar pairs of surfaces are perceived or to the relative quantity of a specified perceptual attribute, such as softness, smoothness, coarseness and coolness. The role of friction and surface texture in tactile perception was investigated in particular detail, because typically tactile exploration involves moving (at least) one finger over a textured surface. A tactile approach for measuring friction was developed by means of moving a finger over the surfaces, mounted on a force sensor. The contribution of finger friction to tactile perception was investigated for surfaces of printing papers and tissue papers, as well as for model surfaces with controlled topography. The overarching research goal of this thesis was to study, systematically, the role of texture in tactile perception of surfaces. The model surfaces displayed a sinusoidal texture with a characteristic wavelength and amplitude, fabricated by surface wrinkling and replica molding techniques. A library of surfaces was manufactured, ranging in wavelengths from 270 nm up to 100 µm and in amplitudes from 7 nm up to 6 µm. These surfaces were rigid and cleanable and could therefore be reused among the participants. To my knowledge, this is the first time in a psychophysical experiment, that the surface texture has been controlled over several orders of magnitude in length scale, without simultaneously changing other material properties of the stimuli. The finger friction coefficient was found to decrease with increasing aspect ratio (amplitude/wavelength) of the model surfaces and also with increasing average surface roughness of the printing papers. Analytical modeling of the finger’s interaction with the model surfaces shows how the friction coefficient increases with the real contact area, and that the friction mechanism is the same on both the nanoscale and microscale. The same interaction mechanism also explains the friction characteristics of tissue paper. Furthermore, it was found that the perceptions of smoothness, coarseness, coolness and dryness are satisfactorily related to the real contact area at the finger-surface interface.  It is shown that it is possible to discern perceptually among both printing papers and tissue papers, and this differentiation is based on either two or three underlying dimensions. Rough/smooth and thin/thick were the two main dimensions of surface feel found for the printing papers, whereas friction and wavelength were strongly related to the perceptual cues employed in scaling the model surfaces. These experimental results support the duplex theory of texture perception, which holds that both a “spatial sense”; used to discriminate the roughest textures from the others, and a “vibration sense”; used to discriminate among the smoother textures, are involved. The perception of what is considered rough and smooth depends on the experimental stimulus context. It is concluded that friction is important for human differentiation of surface textures below about 10 µm in surface roughness, and for larger surface textures, friction is less important or can even be neglected. The finger friction experiments also allowed the following conclusions to be drawn: (i) The interindividual variation in friction coefficients is too large to allow direct comparison; however, the trends in relative friction coefficients for a group of participants are the same. (ii) Lipids are transferred to the test surface of study, and this lowers the friction. (iii) Many of the studies point to a characteristic frequency during sliding of about 30 Hz, which is both characteristic of the resonance frequency of skin and the expected frequency associated with the fingerprints. (iv) The applied load in surface interrogation is in fact regulated in response to the friction force. The limits in tactile perception were indirectly researched by similarity scaling experiments on the model surfaces. Wrinkle wavelengths of 760 nm and 870 nm could be discriminated from untextured reference surfaces, whereas 270 nm could not. The amplitude of the wrinkles so discriminated was approximately 10 nm, suggesting that nanotechnology may well have a role to play in haptics and tactile perception. / Taktil perception bidrar starkt till den sammantagna upplevelsen av en produkt, men hur materials olika ytegenskaper påverkar och styr perceptionen är ännu inte helt klart. Den här avhandlingen undersöker hur många och vilka egenskaper som är viktiga när känslan mellan två ytor jämförs. Tillvägagångssättet är tvärvetenskapligt där fysikaliska mätningar kopplas ihop med perceptions mätningar där människor används som instrument. Två typer av perceptionsförsök har utförts, multidimensionell skalning där försökspersoner sätter siffror på hur lika två ytor känns, samt magnitud estimation där i stället intensiteten på specifika perceptuella storheter som t.ex. upplevt lenhet, upplevd mjukhet och upplevd strävhet bedömdes. Eftersom taktil perception innebär kontakt samt relativ rörelse mellan hud och ytor, har fokus i avhandlingen varit att undersöka hur friktion och ytans struktur (ytråhet) påverkar och bidrar till den taktila perceptionen. Förutom fysikaliska mätningar på friktion och ytstruktur har värmekonduktivitet, mjukhet samt olika standard mätningar inom pappersindustrin mätts. En metod för att mäta friktion mellan ett finger och olika ytor har utvecklats för att i möjligaste mån återspegla friktionskomponenten i upplevt taktil perception. Friktionskoefficienter beräknades och jämfördes mellan alla ytor. De stimuli som har studerats är tryckpapper och mjukpapper samt modellytor, gjorda för att systematiskt undersöka hur ytstruktur påverkar perceptionen. Tillverkningsmetoden för modellytorna valdes så att ytorna var tåliga och kunde tvättas och därmed återanvändas. Strukturen på ytorna bestod av ett vågformat mönster där våglängden varierade mellan 270 nm och 100 µm och amplituden mellan 7 nm och 6 µm. Enligt vår vetskap är det första gången som strukturer i de här skalorna har gjorts utan att samtidigt ändra andra material egenskaper. Friktionskoefficienten minskade med ökad kvot mellan amplituden och våglängden på modellytorna samt med ytråheten på tryckpappren. En analytisk modell tillämpades på kontakten mellan ett finger och ytorna som visade att friktionskoefficienten beror av den verkliga kontaktarean. För de mycket grövre mjukpappren uppmättes inga stora skillnader i friktion förmodligen för att kontakarean mellan de olika mjukpapprena var lika. Den faktiska kontakarean visade sig också vara viktig för perceptionen av lenhet, strävhet, torrhet och svalhet. Det visade sig vara en stor perceptuell skillnad mellan olika typer av tryckpapper och mjukpapper utifrån hur stimuli placerade sig på en taktil karta. För de tre materialen användes enbart två alternativt tre egenskaper hos materialet för att särskilja mellan alla olika par. För tryckpapper verkade en viktig dimension kunna beskrivas av alla de perceptuella och fysikaliska egenskaper som har med kontaktarean att göra, d.v.s. lenhet, svalhet, torrhet, ytråhet, värmekonduktivitet samt friktion. För att taktilt särskilja mellan olika ytor där bara strukturen är varierade, kunde friktion och våglängden relateras till spridningen i kartan. Båda studierna stödjer duplex theory of texture perception, där ett spatialt sinne används för att särskilja en av de grövre ytorna från en slät, och ett vibrationssinne för att särskilja mellan olika släta strukturer. Friktionen visade sig alltså vara en viktig fysikalisk egenskap för strukturer under åtminstone 10 µm i ytråhet. Från fingerfriktions mätningar kunde även följande slutsatser dras: (i) Stora skillnader i friktionskoefficient mellan olika personer uppmättes, men trenderna mellan olika individer var samma, vilket gör att relativa skillnader i friktion från en individ är representativa. (ii) Lipider (fingerfett) som överförs från fingret till ytan vid kontakt sänker friktionen. (iii) Frekvensinnehållet i friktionskraften varierar mellan olika ytor och den frekvenstopp som ses vid 30 Hz kan möjligtvis bero på fingrets struktur eller resonansfrekvensen på huden. (iv) Den pålagda kraften under en friktionsmätning visar sig omedvetet regleras av den friktionskraft som fingret möter under rörelse.  Hur små strukturer som kan diskrimineras har indirekt undersökts genom likhetsförsöket på modellytorna där försökspersoner skulle bedöma hur lika alla par av ytor kändes. Resultaten visade att ytorna med våglängder på 760 nm och 870 nm upplevdes olika jämfört med referens ytor utan något systematiskt mönster, medan ytan med 270 nm i våglängd inte kunde särskiljas. Amplituden på ytan som kunde diskrimineras var endast ca 10 nm, vilket indikerar att nanoteknologi mycket väl kan bidra inom haptiken och för att i framtiden kontrollera den taktila perceptionen. / <p>QC 20121026</p>

A high-order central essentially non-oscillatory (CENO) finite-volume scheme in combination with a block-based adaptive mesh refinement (AMR) algorithm is proposed for solution of hyperbolic and elliptic systems of conservation laws on body- fitted multi-block mesh. The spatial discretization of the hyperbolic (inviscid) terms is based on a hybrid solution reconstruction procedure that combines an unlimited high-order k-exact least-squares reconstruction technique following from a fixed central stencil with a monotonicity preserving limited piecewise linear reconstruction algorithm. The limited reconstruction is applied to computational cells with under-resolved solution content and the unlimited k-exact reconstruction procedure is used for cells in which the solution is fully resolved. Switching in the hybrid procedure is determined by a solution smoothness indicator. The hybrid approach avoids the complexity associated with other ENO schemes that require reconstruction on multiple stencils and therefore, would seem very well suited for extension to unstructured meshes. The high-order elliptic (viscous) fluxes are computed based on a k-order accurate average gradient derived from a (k+1)-order accurate reconstruction. A novel h-refinement criterion based on the solution smoothness indicator is used to direct the steady and unsteady refinement of the AMR mesh. The predictive capabilities of the proposed high-order AMR scheme are demonstrated for the Euler and Navier-Stokes equations governing two-dimensional compressible gaseous flows as well as for advection-diffusion problems characterized by the full range of Peclet numbers, Pe. The ability of the scheme to accurately represent solutions with smooth extrema and yet robustly handle under-resolved and/or non-smooth solution content (i.e., shocks and other discontinuities) is shown for a range of problems. Moreover, the ability to perform mesh refinement in regions of smooth but under-resolved and/or non-smooth solution content to achieve the desired resolution is also demonstrated.

A high-order central essentially non-oscillatory (CENO) finite-volume scheme in combination with a block-based adaptive mesh refinement (AMR) algorithm is proposed for solution of hyperbolic and elliptic systems of conservation laws on body- fitted multi-block mesh. The spatial discretization of the hyperbolic (inviscid) terms is based on a hybrid solution reconstruction procedure that combines an unlimited high-order k-exact least-squares reconstruction technique following from a fixed central stencil with a monotonicity preserving limited piecewise linear reconstruction algorithm. The limited reconstruction is applied to computational cells with under-resolved solution content and the unlimited k-exact reconstruction procedure is used for cells in which the solution is fully resolved. Switching in the hybrid procedure is determined by a solution smoothness indicator. The hybrid approach avoids the complexity associated with other ENO schemes that require reconstruction on multiple stencils and therefore, would seem very well suited for extension to unstructured meshes. The high-order elliptic (viscous) fluxes are computed based on a k-order accurate average gradient derived from a (k+1)-order accurate reconstruction. A novel h-refinement criterion based on the solution smoothness indicator is used to direct the steady and unsteady refinement of the AMR mesh. The predictive capabilities of the proposed high-order AMR scheme are demonstrated for the Euler and Navier-Stokes equations governing two-dimensional compressible gaseous flows as well as for advection-diffusion problems characterized by the full range of Peclet numbers, Pe. The ability of the scheme to accurately represent solutions with smooth extrema and yet robustly handle under-resolved and/or non-smooth solution content (i.e., shocks and other discontinuities) is shown for a range of problems. Moreover, the ability to perform mesh refinement in regions of smooth but under-resolved and/or non-smooth solution content to achieve the desired resolution is also demonstrated.