Factorization of elliptic boundary value problems by invariant embedding and application to overdetermined problems

Dissertação para obtenção do Grau de Doutor em Matemática

Factorization by invariant embedding of elliptic problems: circular and star-shaped domains

Dissertação apresentada para obtenção do grau de Doutor em Matemática na especialidade de Equações Diferenciais, pela Universidade Nova de Lisboa,Faculdade de Ciências e Tecnologia

POST-PROCESSING TECHNIQUES SUITABILITY FOR MESOLEVEL FREE BOUNDARY FLOWS

Reliable flow simulation software is inevitable to determine an optimal injection strategy in Liquid Composite Molding processes. Several methodologies can be implemented into standard software in order to reduce CPU time. Post-processing techniques might be one of them. Post-processing a finite element solution is a well-known procedure, which consists in a recalculation of the originally obtained quantities such that the rate of convergence increases without the need for expensive remeshing techniques. Post-processing is especially effective in problems where better accuracy is required for derivatives of nodal variables in regions where Dirichlet essential boundary condition is imposed strongly. In previous works influence of smoothness of non-homogeneous Dirichlet condition, imposed on smooth front was examined. However, usually quite a non-smooth boundary is obtained at each time step of the infiltration process due to discretization. Then direct application of post-processing techniques does not improve final results as expected. The new contribution of this paper lies in improvement of the standard methodology. Improved results clearly show that the recalculated flow front is closer to the ”exact” one, is smoother that the previous one and it improves local disturbances of the “exact” solution.

Post-processing Techniques in Free Boundary Flows during Liquid Composite Moulding Processes

Post-processing a finite element solution is a well-known technique, which consists in a recalculation of the originally obtained quantities such that the rate of convergence increases without the need for expensive remeshing techniques. Postprocessing is especially effective in problems where better accuracy is required for derivatives of nodal variables in regions where Dirichlet essential boundary condition is imposed strongly. Consequently such an approach can be exceptionally good in modelling of resin infiltration under quasi steady-state assumption by remeshing techniques and with explicit time integration, because only the free-front normal velocities are necessary to advance the resin front to the next position. The new contribution is the post-processing analysis and implementation of the freeboundary velocities of mesolevel infiltration analysis. Such implementation ensures better accuracy on even coarser meshes, which in consequence reduces the computational time also by the possibility of employing larger time steps.

On the HHT, its problems, and some solutions

Mechanical Systems and Signal Processing, Vol.22, Number 6

A new approach to the initial value problem

5th Portuguese Conference on Automatic Control, September, 5-7, 2002, Aveiro, Portugal

The Serravallian-Tortonian boundary in the lower Tagus Basin (Portugal) and the new GSSP of the Tortonian stage

Revista electrónica de Ciências da Terra,http://e-terra.geopor.pt,Geociences on-line journal, Vol. 6, nº1

MASS CONSERVATION ENHANCEMENT OF FREE BOUNDARY FLOWS IN COMPOSITES MANUFACTURING

Undesirable void formation during the injection phase of the liquid composite molding process can be understood as a consequence of the non-uniformity of the flow front progression, caused by the dual porosity of the fiber perform. Therefore the best examination of the void formation physics can be provided by a mesolevel analysis, where the characteristic dimension is given by the fiber tow diameter. In mesolevel analysis, liquid impregnation along two different scales; inside fiber tows and within the spaces between them; must be considered and the coupling between these flow regimes must be addressed. In such case, it is extremely important to account correctly for the surface tension effects, which can be modeled as capillary pressure applied at the flow front. When continues Galerkin method is used, exploiting elements with velocity components and pressure as nodal variables, strong numerical implementation of such boundary conditions leads to ill-posing of the problem, in terms of the weak classical as well as stabilized formulation. As a consequence, there is an error in mass conservation accumulated especially along the free flow front. This article presents a numerical procedure, which was formulated and implemented in the existing Free Boundary Program in order to significantly reduce this error.

Mass Conservation Enhancement of Free Boundary Mesolevel Flows during LCM Processes of Composites Manufacturing

Undesirable void formation during the injection phase of the liquid composite moulding process can be understood as a consequence of the non-uniformity of the flow front progression, caused by the dual porosity of the fibre perform. Therefore the best examination of the void formation physics can be provided by a mesolevel analysis, where the characteristic dimension is given by the fibre tow diameter. In mesolevel analysis, liquid impregnation along two different scales; inside fibre tows and within the open spaces between them; must be considered and the coupling between these flow regimes must be addressed. In such case, it is extremely important to account correctly for the surface tension effects, which can be modelled as capillary pressure applied at the flow front. Numerical implementation of such boundary conditions leads to ill-posing of the problem, in terms of the weak classical as well as stabilized formulation. As a consequence, there is an error in mass conservation accumulated especially along the free flow front. This contribution presents a numerical procedure, which was formulated and implemented in the existing Free Boundary Program in order to significantly reduce this error.

The Transversarium-Bifurcatus Zone boundary at Rocha (Peral area, East-Central Algarve, Portugal)

This paper represents the first detailed study of the Transversarium-Bifurcatus Zone boundary in the Algarve. The boundary studied in the Peral area is associated with a stratigraphic discontinuity, whose hiatus partially affects the Transversarium-Bifurcatus Zones. A discontinuity was also recognized in the Bifurcatus-Birnammatum Zone boundary, which can be correlated with the traces of a Type II unconformity, which separates cycles 4.3-4.4 in HAQ et al. (1987), present on the South Iberian palaeomargin. An analysis was made of the ecostratigraphic evolution in the interval between the uppermost Transversarium Zone and the lower part of the Bimammatum Zone on the basis of the faunal spectra obtained. We conclude that ammonites are the most tolerant cephalopods to the ecological stress caused by the increase of inflows and the decrease of the shelf's ecospace. Benthic fauna decreased considerably in these conditions. A relatively abundant and diversified fauna ofDichotomoceras is noteworthy among the ammonites collected, as this genus was previously little known in the Algarve.

Ostracodes; witnesses of the Plio-Quaternary boundary in the North Eastern Atlantic preliminary results

Proceedings of the 1" R.C.A.N.S. Congress, Lisboa, October 1992

Pliensbachian/Toarcian boundary: the proposed GSSP of Peniche (Portugal)

The Peniche section (Portugal) is considered as a potential stratotype (GSSP) for the Pliensbachian/Toarcian boundary and it is analysed on the background of the available data on the ammonite successions from other Tethyan and NW European areas.

Calcareous nannofossil assemblages around the Pliensbachian/Toarcian boundary in the reference section of Peniche (Portugal)

The Pliensbachian/Toarcian boundary (Lower Jurassic) is well represented in the Lusitanian Basin (Portugal), mainly in the Peniche area, recorded by a marl/limestone series. Calcareous nannofossil assemblages are described herein, with the aim to contribute to the Toarcian GSSP definition. Marly samples were collected 3 m below and 7 m above this boundary and analysed for calcareous nannofossils. The main nannofossils observed were Biscutum finchii, B. grande, Calcivascularis jansae, Crepidolithus crassus, C. granulatus, C. impontus, Lotharingius hauffii, L. sigillatus, L. aff. L. velatus, Schizosphaerella spp. and Tubirhabdus patulus. This assemblage indicates that the Pliensbachian/Toarcian boundary in Peniche lies in the upper part of the NJ5b Subzone. Schizosphaerella and Lotharingius dominate the assemblage. The abundant occurrence of C. jansae and the common occurrence of B. grande indicate a strong Tethyan influence.

Calcareous nannofossil assemblages across the Pliensbachian/Toarcian boundary at the Peniche section (Ponta do Trovão, Lusitanian Basin)

The Peniche section has revealed moderately-to-well preserved calcareous nannofossil assemblages across the Pliensbachian/Toarcian boundary. This good record has allowed the proposition of a refined biostratigraphic scheme. The stage boundary, as defined by ammonites, is comprised within the NJ5b C. impontus (NW Europe; BOWN & COOPER, 1998) or the NJT5b L. sigillatus (Mediterranean Tethys; MATTIOLI & ERBA, 1999) nannofossil subzones. Since in the Lusitanian Basin a mixing of N- and S-Tethyan taxa is observed, both biozonation schemes can be applied. Some nannofossil events (mainly first occurrences) are observed earlier in Portugal than in other Tethyan settings. It is still unclear if these events are real first occurrences. A diversification phase occurred across the Pliensbachian/Toarcian boundary. This phase is well recorded at Peniche, where a change is observed passing from the Pliensbachian, when assemblages are dominated by muroliths, to the Toarcian showing assemblages where placoliths are abundant. A quantification of nannofossils per gram of rock shows that absolute abundances are the highest across the Pliensbachian/Toarcian boundary. Indeed, Peniche exhibits nannofossil abundances very high with respect to correlative levels in other Tethyan settings. The pelagic carbonate fraction (produced by nannofossils) is important in the marly hemi-couplets of Peniche. In some levels, nannofossils account for more than 50% of the total carbonate fraction.

Adesão ao regime terapêutico na pessoa com enfarte agudo do miócardio: contributo dos enfermeiros no internamento hospita

RESUMO: O Enfarte Agudo do Miocárdio (EAM) representa um dos principais problemas de saúde pública em Portugal. A rápida intervenção nos factores de risco determinantes da saúde cardíaca pode ter um impacto positivo em vários indicadores de saúde. O objectivo final dessa intervenção passa por capacitar a pessoa, para que, autonomamente, adopte um conjunto de comportamentos de saúde, baseados em estilos de vida protectores da saúde cardíaca, que favorecem positivamente o processo de reabilitação. Esta procura e aquisição do comportamento de saúde, adesão ao regime terapêutico, deve ser desenvolvido em parceria com os profissionais de saúde. O hospital representa a porta de entrada da pessoa com EAM no sistema de saúde. É neste contacto que se inicia uma intervenção de sensibilização e promoção da adesão ao regime terapêutico. Sendo os enfermeiros um grupo profissional que estabelece uma relação continua com a pessoa, importa conhecer um conjunto de dimensões do desempenho dos enfermeiros na promoção da adesão ao regime terapêutico. Breve referência ao desenho de estudo. Foram incluídas no estudo 143 enfermeiros de 9 serviços hospitalares da Região de Saúde de Lisboa e Vale do Tejo. Os dados foram obtidos através de um questionário auto-preenchido. Os dados mostraram que a população de enfermeiros é jovem (M= 30,5: dp= 8,0), 49% têm uma idade £ 26 anos e apresenta pouca experiência profissional (M=7,7; dp= 7,6), 48,2% exerce a profissão há menos de 3 anos. A antiguidade no serviço actual é reduzida (M= 4,7; dp= 4,6), 48,9% estão no serviço há menos de 2 anos. Os enfermeiros acreditam que deviam intervir com mais frequência nos factores de risco fisiológicos e comportamentais que nos factores psicossociais e ambientais; a confiança que têm nas capacidades para intervir nos factores de risco fisiológicos e comportamentais é maior que nos factores psicossociais e ambientais e no último ano, intervieram mais frequentemente nos factores de risco fisiológicos e comportamentais que nos psicossociais e ambientais. O “ensaio” da validação da escala de Will scale de Anderson et al (2004), sobre a capacidade de intervenção na saúde cardíaca, mostrou que o teste de Esfericidade de Bartlett e Medida de adequação da amostragem de Kaiser-Meyer- Olkin (KMO) permitiram a realização da análise factorial em componentes principais (AFCP). Da AFCP emergiram 16 factores, os mesmos que no estudo original de Anderson et al (2004), que revelaram boa consistência interna, com valores de alpha de Cronbach que variaram entre 0,71 a 0,98. Os resultados revelam a necessidade de sensibilizar os enfermeiros para valorizar a intervenção no âmbito dos factores de risco psicossociais e ambientais para promover a adesão ao regime terapêutico. Sugerem ainda que a intervenção baseada na evidência pode ser potenciada de forma a melhorar as práticas de cuidados dos enfermeiros. ABSTRACT: Myocardial infarction (MI) is one of the most important problems in public health in Portugal. A prompt intervention in cardiac health determinants means a positive impact in health outcomes, individually and collectively. The main purpose of this intervention lays on patient’s empowerment so he or she becomes able to choose healthy behaviours, based on heart health protective life styles, and therefore to manage his/hers therapeutic regime. This search and acquisition of health behaviours leading to therapeutic regime adherence may positively have an influence on the whole rehabilitation process and it must be developed in partnership with health workers. MI patients’ first contact with the Health System usually happens at the Hospital. Here the first steps are taken to start an intervention in order to promote therapeutic regime adherence. Nurses are a group of health workers who establish a unique and continuous relation with patients, so it matters to have knowledge of their performance skills that can actually promote a healthy behaviours and increase therapeutic regime adherence. Short Study design The study sample includes 143 nurses working on 9 different hospital wards, belonging to the Lisboa and Tejo’s Valley Health Region, in the district of Lisbon. Data were collected trough a self-administered questionnaire. It revealed that the nurses sample is a young population (M=30,5; dp=8,0), 49% of whom are aged less than 26 years old and has little professional experience (M=7,7; dp= 7,6); 48,2% work has nurses for less than 3 years. There’s a low percentage of seniority (M=4,7; dp=4,6), 48,9% of nurses work in these wards for less than 2 years. Nurses believe they should have intervene more frequently in physiological and behaviour risk factors than in psychological, social and environmental factors; they have greater confidence in their ability to intervene in physiological and behaviour risk factors than to intervene in psychological, social and environmental factors. In last year they took interventions more frequently in physiological and behaviour risk factors than in the other health determinants. The Scale Validation “essay” on Will Scale (Anderson et al, 2004), about heart health intervention capacity, revealed that the Bartlett’s test sphericity and the Kaiser-Meyer- Olkin’s (KMO) appropriate sample measure allowed the factorial analysis on main components (FAMC). From FAMC emerged 16 factors, the same number found on Anderson’s et al (2004) study, revealing good internal consistence, with Cronbach’s alpha values that varied between 0,71 and 0,98. The results point a need for nurses to attribute bigger value to other health determinants intervention - such as psychological, social and environmental determinants - so they’ll take part in promoting therapeutic regime adherence. The results also suggest t