Künstliche Randbedingungen und Algebraische Äquivalenzen in der Elastizitätstheorie

In dieser Arbeit werden zwei Aspekte bei Randwertproblemen der linearen Elastizitätstheorie untersucht: die Approximation von Lösungen auf unbeschränkten Gebieten und die Änderung von Symmetrieklassen unter speziellen Transformationen. Ausgangspunkt der Dissertation ist das von Specovius-Neugebauer und Nazarov in "Artificial boundary conditions for Petrovsky systems of second order in exterior domains and in other domains of conical type"(Math. Meth. Appl. Sci, 2004; 27) eingeführte Verfahren zur Untersuchung von Petrovsky-Systemen zweiter Ordnung in Außenraumgebieten und Gebieten mit konischen Ausgängen mit Hilfe der Methode der künstlichen Randbedingungen. Dabei werden für die Ermittlung von Lösungen der Randwertprobleme die unbeschränkten Gebiete durch das Abschneiden mit einer Kugel beschränkt, und es wird eine künstliche Randbedingung konstruiert, um die Lösung des Problems möglichst gut zu approximieren. Das Verfahren wird dahingehend verändert, dass das abschneidende Gebiet ein Polyeder ist, da es für die Lösung des Approximationsproblems mit üblichen Finite-Element-Diskretisierungen von Vorteil sei, wenn das zu triangulierende Gebiet einen polygonalen Rand besitzt. Zu Beginn der Arbeit werden die wichtigsten funktionalanalytischen Begriffe und Ergebnisse der Theorie elliptischer Differentialoperatoren vorgestellt. Danach folgt der Hauptteil der Arbeit, der sich in drei Bereiche untergliedert. Als erstes wird für abschneidende Polyedergebiete eine formale Konstruktion der künstlichen Randbedingungen angegeben. Danach folgt der Nachweis der Existenz und Eindeutigkeit der Lösung des approximativen Randwertproblems auf dem abgeschnittenen Gebiet und im Anschluss wird eine Abschätzung für den resultierenden Abschneidefehler geliefert. An die theoretischen Ausführungen schließt sich die Betrachtung von Anwendungsbereiche an. Hier werden ebene Rissprobleme und Polarisationsmatrizen dreidimensionaler Außenraumprobleme der Elastizitätstheorie erläutert. Der letzte Abschnitt behandelt den zweiten Aspekt der Arbeit, den Bereich der Algebraischen Äquivalenzen. Hier geht es um die Transformation von Symmetrieklassen, um die Kenntnis der Fundamentallösung der Elastizitätsprobleme für transversalisotrope Medien auch für Medien zu nutzen, die nicht von transversalisotroper Struktur sind. Eine allgemeine Darstellung aller Klassen konnte hier nicht geliefert werden. Als Beispiel für das Vorgehen wird eine Klasse von orthotropen Medien im dreidimensionalen Fall angegeben, die sich auf den Fall der Transversalisotropie reduzieren lässt.

Uncover the Concealed Link: Gender & Ethnicity-Divided Local Knowledge on the Agro-Ecosystem of a Forest Margin

This research is a study about knowledge interface that aims to analyse knowledge discontinuities, the dynamic and emergent characters of struggles and interactions within gender system and ethnicity differences. The cacao boom phenomenon in Central Sulawesi is the main context for a changing of social relations of production, especially when the mode of production has shifted or is still underway from subsistence to petty commodity production. This agrarian change is not only about a change of relationship and practice, but, as my previous research has shown, also about the shift of knowledge domination, because knowledge construes social practice in a dialectical process. Agroecological knowledge is accumulated through interaction, practice and experience. At the same time the knowledge gained from new practices and experiences changes mode of interaction, so such processes provide the arena where an interface of knowledge is manifested. In the process of agro-ecological knowledge interface, gender and ethnic group interactions materialise in the decision-making of production and resource allocation at the household and community level. At this point, power/knowledge is interplayed to gain authority in decision-making. When authority dominates, power encounters resistance, whereas the dominant power and its resistance are aimed to ensure socio-economic security. Eventually, the process of struggle can be identified through the pattern of resource utilisation as a realisation of production decision-making. Such processes are varied from one community to another, and therefore, it shows uniqueness and commonalities, especially when it is placed in a context of shifting mode of production. The focus is placed on actors: men and women in their institutional and cultural setting, including the role of development agents. The inquiry is informed by 4 major questions: 1) How do women and men acquire, disseminate, and utilise their agro ecological knowledge, specifically in rice farming as a subsistence commodity, as well as in cacao farming as a petty commodity? How and why do such mechanisms construct different knowledge domains between two genders? How does the knowledge mechanism apply in different ethnics? What are the implications for gender and ethnicity based relation of production? ; 2) Using the concept of valued knowledge in a shifting mode of production context: is there any knowledge that dominates others? How does the process of domination occur and why? Is there any form of struggle, strategies, negotiation, and compromise over this domination? How do these processes take place at a household as well as community level? How does it relate to production decision-making? ; 3) Putting the previous questions in two communities with a different point of arrival on a path of agricultural commercialisation, how do the processes of struggle vary? What are the bases of the commonalities and peculiarities in both communities?; 4) How the decisions of production affect rice field - cacao plantation - forest utilisation in the two villages? How does that triangle of resource use reflect the constellation of local knowledge in those two communities? What is the implication of this knowledge constellation for the cacao-rice-forest agroecosystem in the forest margin area? Employing a qualitative approach as the main method of inquiry, indepth and dialogic interviews, participant observer role, and document review are used to gather information. A small survey and children’s writing competition are supplementary to this data collection method. The later two methods are aimed to give wider information on household decision making and perception toward the forest. It was found that local knowledge, particularly knowledge pertaining to rice-forest-cacao agroecology is divided according to gender and ethnicity. This constellation places a process of decision-making as ‘the arena of interface’ between feminine and masculine knowledge, as well as between dominant and less dominant ethnic groups. Transition from subsistence to a commercial mode of production is a context that frames a process where knowledge about cacao commodity is valued higher than rice. Market mechanism, as an external power, defines valued knowledge. Valued knowledge defines the dominant knowledge holder, and decision. Therefore, cacao cultivation becomes a dominant practice. Its existence sacrifices the presence of rice field and the forest. Knowledge about rice production and forest ecosystem exist, but is less valued. So it is unable to challenge the domination of cacao. Various forms of struggles - within gender an ethnicity context - to resist cacao domination are an expression of unequal knowledge possession. Knowledge inequality implies to unequal access to withdraw benefit from market valued crop. When unequal knowledge fails to construct a negotiated field or struggles fail to reveal ‘marginal’ decision, e.g. intensification instead of cacao expansion to the forest, interface only produces divergence. Gender and ethnicity divided knowledge is unabridged, since negotiation is unable to produce new knowledge that accommodates both interests. Rice is loaded by ecological interest to conserve the forest, while cacao is driven by economic interest to increase welfare status. The implication of this unmediated dominant knowledge of cacao production is the construction of access; access to the forest, mainly to withdraw its economic benefit by eliminating its ecological benefit. Then, access to cacao as the social relationship of production to acquire cacao knowledge; lastly, access to defend sustainable benefit from cacao by expansion. ‘Socio-economic Security’ is defined by Access. The convergence of rice and cacao knowledge, however, should be made possible across gender and ethnicity, not only for the sake of forest conservation as the insurance of ecological security, but also for community’s socio-economic security. The convergence might be found in a range of alternative ways to conduct cacao sustainable production, from agroforestry system to intensification.

Landschaftsperspektiven der Nutzer

Die vorliegende Arbeit macht Vorschläge zur Einbindung der Öffentlichkeit in Planungsbestrebungen vor Ort, wobei vor allem Methoden empirischer Sozialforschung und deren Anwendbarkeit in landschaftsplanerischen Vorhaben näher betrachtet werden. Hiermit finden insbesondere Wertezuweisungen durch die Bürger stärkere Berücksichtigung. Es wird angenommen, dass, um eine zukunftsweisende Landschaftsplanung zu etablieren, Planer und Fachleute lernen müssen, wie die lokale Bevölkerung ihre Umwelt wahrnimmt und empfindet und welche Ideen sie für die zukünftige Entwicklung der Landschaft haben. Als empirische Grundlage werden Fallstudien aus Bad Soden am Taunus, Hamburg-Wilhelmsburg und Kassel-Rothenditmold präsentiert und verglichen. Rothenditmold und Wilhelmsburg zeichnen sich durch hohe Einwohneranteile mit Migrationshintergrund aus, weisen relativ hohe Arbeitslosenquoten auf und sind als soziale Brennpunkte bekannt – zumindest für Außenstehende. Beide Stadtteile versuchen ihr Image aufzuwerten. In Wilhelmsburg wird dieses Vorhaben in die großräumigen Veränderungen eingebunden, die von verschiedenen Hamburger Großprojekten ausstrahlen. In Rothenditmold ist vor allem Eigeninitiative durch den Stadtteil selbst gefragt. In Bad Soden gibt es ebenfalls viele Menschen mit ausländischen Wurzeln. Sie gehören allerdings mehrheitlich der gesellschaftlichen Mittel- und Oberschicht an. Bad Soden verfügt über ein insgesamt positives Image, das aller kulturellen Veränderungen zum Trotz beibehalten werden soll. Entsprechende Initiativen gehen hier ebenfalls von der Gemeinde selbst aus. An allen Standorten hat es drastische Landschaftsveränderungen und speziell deren Erscheinung gegeben. Bad Soden und Wilhelmsburg haben dabei Teile ihres vormals ländlichen Charakters zu bewahren, während in Rothenditmold vor allem Zeugnisse aus der Zeit der Industrialisierung erhalten sind und den Ort prägen. Die Landschaften haben jeweils ihre einzigartigen Erscheinungen. Zumindest Teile der Landschaften ermöglichen eine Identifikation, sind attraktiv und liefern gute Erholungsmöglichkeiten. Um diese Qualitäten zu bewahren, müssen sie entsprechend gepflegt und weiter entwickelt werden. Dazu sind die Interessen und Wünsche der Bewohner zu ermitteln und in Planungen einzuarbeiten. Die Arbeit strebt einen Beitrag zur Lebensraumentwicklung für und mit Menschen an, die mittels ausgewählter Methoden der empirischen Sozialforschung eingebunden werden. Dabei wird gezeigt, dass die vorgestellten und erprobten Methoden sinnvoll in Projekte der Landschaftsplanung eingebunden werden können. Mit ihnen können ergänzende Erkenntnisse zum jeweiligen Landschaftsraum gewonnen werden, da sie helfen, die kollektive Wahrnehmung der Landschaft durch die Bevölkerung zu erfassen, um sie anschließend in Planungsentwürfe einbinden zu können. Mit der Untersuchung wird in den drei vorgestellten Fallstudien exemplarisch erfasst, welche Elemente der Landschaft für die Bewohner von besonderer Bedeutung sind. Darüber hinaus lernen Planer, welche Methoden zur Ermittlung emotionaler Landschaftswerte verfügbar sind und auf welcher Ebene der Landschaftsplanung sowie bei welchen Zielgruppen sie eingesetzt werden können. Durch die Verknüpfung landschaftsplanerischer Erfassungsmethoden mit Methoden der empirischen Sozialwissenschaft (Fragebogen, Interviews, „Spaziergangsinterviews“, gemeinsame Erarbeitung von Projekten bis zur Umsetzung) sowie der Möglichkeit zur Rückkoppelung landschaftsplaneri-scher Entwürfe mit der Bevölkerung wird eine Optimierung dieser Entwürfe sowohl im Sinne der Planer als auch im Sinne der Bürger erreicht. Zusätzlich wird die Wahrnehmung teilnehmender Bevölkerung für ihre Umwelt geschärft, da sie aufgefordert wird, sich mit ihrer Lebensumgebung bewusst auseinander zu setzen. Die Ergebnisse dieser Untersuchung sind Beitrag und Beleg zu der Annahme, dass ergänzende Methoden in der Landschaftsplanung zur stärkeren Interessenberücksichtigung der von Planung betroffenen Menschen benötigt werden. Zudem zeigen die Studien auf, wie man dem planungsethischen Anspruch, die Öffentlichkeit einzubeziehen, näher kommt. Resultat sind eine bessere Bewertung und Akzeptanz der Planungen und das nicht nur aus landschaftsplanerisch-fachlicher Sicht. Landschaftsplaner sollten ein Interesse daran haben, dass ihre Entwürfe ernst genommen und akzeptiert werden. Das schaffen sie, wenn sie der Bevölkerung nicht etwas aufplanen, sondern ihnen entsprechende Einflussmöglichkeiten bieten und Landschaft mit ihnen gemeinsam entwickeln.

Time Discretization of the SST-generalized Navier-Stokes Equations: Positive and Negative Results

In the theory of the Navier-Stokes equations, the proofs of some basic known results, like for example the uniqueness of solutions to the stationary Navier-Stokes equations under smallness assumptions on the data or the stability of certain time discretization schemes, actually only use a small range of properties and are therefore valid in a more general context. This observation leads us to introduce the concept of SST spaces, a generalization of the functional setting for the Navier-Stokes equations. It allows us to prove (by means of counterexamples) that several uniqueness and stability conjectures that are still open in the case of the Navier-Stokes equations have a negative answer in the larger class of SST spaces, thereby showing that proof strategies used for a number of classical results are not sufficient to affirmatively answer these open questions. More precisely, in the larger class of SST spaces, non-uniqueness phenomena can be observed for the implicit Euler scheme, for two nonlinear versions of the Crank-Nicolson scheme, for the fractional step theta scheme, and for the SST-generalized stationary Navier-Stokes equations. As far as stability is concerned, a linear version of the Euler scheme, a nonlinear version of the Crank-Nicolson scheme, and the fractional step theta scheme turn out to be non-stable in the class of SST spaces. The positive results established in this thesis include the generalization of classical uniqueness and stability results to SST spaces, the uniqueness of solutions (under smallness assumptions) to two nonlinear versions of the Euler scheme, two nonlinear versions of the Crank-Nicolson scheme, and the fractional step theta scheme for general SST spaces, the second order convergence of a version of the Crank-Nicolson scheme, and a new proof of the first order convergence of the implicit Euler scheme for the Navier-Stokes equations. For each convergence result, we provide conditions on the data that guarantee the existence of nonstationary solutions satisfying the regularity assumptions needed for the corresponding convergence theorem. In the case of the Crank-Nicolson scheme, this involves a compatibility condition at the corner of the space-time cylinder, which can be satisfied via a suitable prescription of the initial acceleration.

Arqueología micropolítica del discurso bibliotecario. La biblioteca escolar ecológica productora de nueva subjetividad : su efecto en las redes sociales y bases de datos documentales.

El análisis micropolítico de los Discursos Bibliotecarios (DB) desinviste a las maquinas codificadoras de las misiones, que la institución bibliotecaria reproduce como valor agregado ligado a un modo de ser con base territorial; desmonta las máquinas axiomáticas de los manifiestos bibliotecarios que producen un valor agregado incluyendo forzadamente como deudores de conocimiento a los que no dominan el saber acumulado; y revela el valor agregado del capitalismo mundial integrado (CMI) que instaura procedimientos tácticos cada vez mas autoreferenciales (normas, pautas y directrices). En oposición a esos dispositivos de alineación, culpabilización, responsabilización y control, proponemos un proceso de singularización bibliotecaria en función de la producción de información ambiental en una Biblioteca Escolar Ecológica en conexión con redes sociales y bases de datos documentales.

Children treated in psychoanalytical psychotherapy for learning problems

A clinical psychotherapy needs to turn its gaze to the current demands, and update its practice in empirical studies. The objective of this research is to ascertain the sociodemographic and clinical characteristics of children treated in psychotherapy by learning problems. We conducted a retrospective documentary study with records of 2106 children treated between 1979 and 2007 in two outpatient psychological care of the city of Porto Alegre, southern Brazil. The results showed that demand for Learning Problems is the fourth largest cause of psychotherapeutic care. There was no statistically significant difference regarding gender. Children with learning problems come to psychotherapy more frequently in the early stages of elementary school, around 7 years old. Increased demand for psychotherapy of children with learning problems takes place in May. Perhaps, learning difficulties can be understood simultaneously as a symptom global, in which other aspects, besides the uniqueness of the subject are involved. We conclude that individual and social aspects involved in Learning Problems may be useful in the clinical management of these children by professionals who are dedicated to meeting this particular clientele. One must be aware of ongoing partnership which should be placed between psychologist and pedagogue. Both professionals, education and health, account for components of the child to know

Ecuaciones diferenciales estocásticas con condición final y soluciones de viscosidad de EDPS semilineales de segundo orden

El objetivo de este documento es recopilar algunos resultados clasicos sobre existencia y unicidad ´ de soluciones de ecuaciones diferenciales estocasticas (EDEs) con condici ´ on final (en ingl ´ es´ Backward stochastic differential equations) con particular enfasis en el caso de coeficientes mon ´ otonos, y su cone- ´ xion con soluciones de viscosidad de sistemas de ecuaciones diferenciales parciales (EDPs) parab ´ olicas ´ y el´ıpticas semilineales de segundo orden.

Eventos finca hotel La Gran Bélgica

Eventos La Gran Bélgica, es una Compañía operadora de eventos sociales, con sólida experiencia en ambientaciones temáticas originales y hechas a medida de los clientes, garantizando originalidad y exclusividad en el concepto de cada evento. Nuestros clientes podrán con la ayuda de un equipo integral y experto en diseños de escenografías para cumplir sus sueños y hacerlos realidad.

Measurement Quality in Indicators of Compositions: a Compositional Multitrait-Multimethod Approach

Compositional data, also called multiplicative ipsative data, are common in survey research instruments in areas such as time use, budget expenditure and social networks. Compositional data are usually expressed as proportions of a total, whose sum can only be 1. Owing to their constrained nature, statistical analysis in general, and estimation of measurement quality with a confirmatory factor analysis model for multitrait-multimethod (MTMM) designs in particular are challenging tasks. Compositional data are highly non-normal, as they range within the 0-1 interval. One component can only increase if some other(s) decrease, which results in spurious negative correlations among components which cannot be accounted for by the MTMM model parameters. In this article we show how researchers can use the correlated uniqueness model for MTMM designs in order to evaluate measurement quality of compositional indicators. We suggest using the additive log ratio transformation of the data, discuss several approaches to deal with zero components and explain how the interpretation of MTMM designs di ers from the application to standard unconstrained data. We show an illustration of the method on data of social network composition expressed in percentages of partner, family, friends and other members in which we conclude that the faceto-face collection mode is generally superior to the telephone mode, although primacy e ects are higher in the face-to-face mode. Compositions of strong ties (such as partner) are measured with higher quality than those of weaker ties (such as other network members)

An integral equation method for a boundary value problem arising in unsteady water wave problems

In this paper we consider the 2D Dirichlet boundary value problem for Laplace’s equation in a non-locally perturbed half-plane, with data in the space of bounded and continuous functions. We show uniqueness of solution, using standard Phragmen-Lindelof arguments. The main result is to propose a boundary integral equation formulation, to prove equivalence with the boundary value problem, and to show that the integral equation is well posed by applying a recent partial generalisation of the Fredholm alternative in Arens et al [J. Int. Equ. Appl. 15 (2003) pp. 1-35]. This then leads to an existence proof for the boundary value problem. Keywords. Boundary integral equation method, Water waves, Laplace’s

The PML for rough surface scattering

In this paper we investigate the use of the perfectly matched layer (PML) to truncate a time harmonic rough surface scattering problem in the direction away from the scatterer. We prove existence and uniqueness of the solution of the truncated problem as well as an error estimate depending on the thickness and composition of the layer. This global error estimate predicts a linear rate of convergence (under some conditions on the relative size of the real and imaginary parts of the PML function) rather than the usual exponential rate. We then consider scattering by a half-space and show that the solution of the PML truncated problem converges globally at most quadratically (up to logarithmic factors), providing support for our general theory. However we also prove exponential convergence on compact subsets. We continue by proposing an iterative correction method for the PML truncated problem and, using our estimate for the PML approximation, prove convergence of this method. Finally we provide some numerical results in 2D.(C) 2008 IMACS. Published by Elsevier B.V. All rights reserved.

Modelling metal cutting using modern ductile fracture mechanics: Quantitative explanations for some longstanding problems

The assumption that negligible work is involved in the formation of new surfaces in the machining of ductile metals, is re-examined in the light of both current Finite Element Method (FEM) simulations of cutting and modern ductile fracture mechanics. The work associated with separation criteria in FEM models is shown to be in the kJ/m2 range rather than the few J/m2 of the surface energy (surface tension) employed by Shaw in his pioneering study of 1954 following which consideration of surface work has been omitted from analyses of metal cutting. The much greater values of surface specific work are not surprising in terms of ductile fracture mechanics where kJ/m2 values of fracture toughness are typical of the ductile metals involved in machining studies. This paper shows that when even the simple Ernst–Merchant analysis is generalised to include significant surface work, many of the experimental observations for which traditional ‘plasticity and friction only’ analyses seem to have no quantitative explanation, are now given meaning. In particular, the primary shear plane angle φ becomes material-dependent. The experimental increase of φ up to a saturated level, as the uncut chip thickness is increased, is predicted. The positive intercepts found in plots of cutting force vs. depth of cut, and in plots of force resolved along the primary shear plane vs. area of shear plane, are shown to be measures of the specific surface work. It is demonstrated that neglect of these intercepts in cutting analyses is the reason why anomalously high values of shear yield stress are derived at those very small uncut chip thicknesses at which the so-called size effect becomes evident. The material toughness/strength ratio, combined with the depth of cut to form a non-dimensional parameter, is shown to control ductile cutting mechanics. The toughness/strength ratio of a given material will change with rate, temperature, and thermomechanical treatment and the influence of such changes, together with changes in depth of cut, on the character of machining is discussed. Strength or hardness alone is insufficient to describe machining. The failure of the Ernst–Merchant theory seems less to do with problems of uniqueness and the validity of minimum work, and more to do with the problem not being properly posed. The new analysis compares favourably and consistently with the wide body of experimental results available in the literature. Why considerable progress in the understanding of metal cutting has been achieved without reference to significant surface work is also discussed.

Teachers' views on the nature of models

A semi-structured interview was used in Brazil to enquire into the 'notion of model' held by a total sample of 39 science teachers who were: employed in 'fundamental' (6-14 years) and 'medium' (15-17 years) schools; student science teachers currently doing their practicum; and university science teachers. Seven 'aspects' of their notions of a model were identified: the nature of a model, the use to which it can be put, the entities of which it consists, its relative uniqueness, the time span over which it is used, its status in the making of predictions, and the basis for the accreditation of its existence and use. Categories of meaning were identified for each of these aspects. The profiles of teachers' notions of 'model' in terms of the aspects and categories were complex, providing no support for the notion of 'Levels' in understanding. Teachers with degrees in chemistry or physics had different views about the notion of 'model' to those with degrees in biology or with teacher training certificates.

Cumulant-based deconvolution and identification: several new families of linear equations

This paper presents several new families of cumulant-based linear equations with respect to the inverse filter coefficients for deconvolution (equalisation) and identification of nonminimum phase systems. Based on noncausal autoregressive (AR) modeling of the output signals and three theorems, these equations are derived for the cases of 2nd-, 3rd and 4th-order cumulants, respectively, and can be expressed as identical or similar forms. The algorithms constructed from these equations are simpler in form, but can offer more accurate results than the existing methods. Since the inverse filter coefficients are simply the solution of a set of linear equations, their uniqueness can normally be guaranteed. Simulations are presented for the cases of skewed series, unskewed continuous series and unskewed discrete series. The results of these simulations confirm the feasibility and efficiency of the algorithms.

Position criticality in chess endgames

Some 50,000 Win Studies in Chess challenge White to find an effectively unique route to a win. Judging the impact of less than absolute uniqueness requires both technical analysis and artistic judgment. Here, for the first time, an algorithm is defined to help analyse uniqueness in endgame positions objectively. The key idea is to examine how critical certain positions are to White in achieving the win. The algorithm uses sub-n-man endgame tables (EGTs) for both Chess and relevant, adjacent variants of Chess. It challenges authors of EGT generators to generalise them to create EGTs for these chess variants. It has already proved efficient and effective in an implementation for Starchess, itself a variant of chess. The approach also addresses a number of similar questions arising in endgame theory, games and compositions.