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Finite element method resolution and error estimators for p-Laplacian problem with a new boundary condition

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Acta Mathematica Sinica,English Series 2024年

作者： Omar el MOUTEA hassan el AMRI Laboratory of Mathematics and Applications ENS Hassan Ⅱ University

In this article, we discuss the approach to solving a nonlinear PDE equation, specifically the p-Laplacian equation, with a general (nonlinear) boundary condition. We establish the existence and uniqueness of the solution, subject to certain assumptions outlined in this paper. To solve our nonlinear problem using the Finite element Method (FEM), we derive an appropriate variational ***, we introduce a study of the residual a posteriori-error indicator, establishing both upper and lower bounds to control the error. The upper bound is determined using averaging interpolators in some Quasi-norms defined by Barrett and Liu. Furthermore, we prove the equivalence between the residual error and the true error e=u-uh. Lastly, we perform a simulation of the p-Laplacian problem in the L-shape domain using a Matlab program in two-dimensional space.

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Soft Tissue Chondroma: Two Cases Report and Literature Review

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Case Reports in Clinical Medicine 2014年第12期3卷 644-649页

作者： Khadija Benhayoune Hinde el Fatemi hassan el fettach Siham Tizniti Faouzi Boutayeb Mohammed el Merini Taoufik Harmouch Department of Anatomic Pathology CHU Hassan II of Fez Fez Morocco Department of Radiology CHU Hassan II of Fez Fez Morocco Department of Orthopaedics I CHU Hassan II of Fez Fez Morocco Department of Orthopaedics II CHU Hassan II of Fez Fez Morocco

Introduction: Soft tissue chondroma is a very rare, slow progressing, benign tumor. It has a specific tendency for hands and feet. It can exhibit worrisome radiographic and histologic features mimicking chondrosarcomas. Case 1: A 54-year-old man was presented with a big mass in the left thigh. At magnetic resonance imaging (MRI), the lesion exhibited a heterogeneous pattern, localized in muscle without infiltration. Open biopsy was performed showed a soft tissue chondroma. Case 2: A 40 years old man presented with a hard mass on the right iliac fossa. TDM showed a well circumscribed soft tissue mass with a heterogeneous pattern. Histological assessment of the resected specimen confirmed a soft tissue chondroma. Conclusion: Soft tissue chondroma is a very rare benign tumor. In our case, the tumor presented with an unusual location and radiological appearance, suggesting a malignant process. The diagnosis was rectified thanks to pathological examination.

关键词： Soft Tissue Chondroma Calcification MRI Thigh The Right Iliac Fossa

Novel Sustainable Cellulose Acetate Based Biosensor for Glucose Detection

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Journal of Renewable Materials 2024年第2期12卷 369-380页

作者： M.F.elkady E.M.el-Sayed Mahmoud Samy Omneya A.Koriem H.Shokry hassan Chemical and Petrochemical Engineering Department Egypt-Japan University of Science and TechnologyNew Borg El-ArabAlexandriaEgypt Fabrication Technology Research Department Advanced Technology and New Materials Research InstituteCity of Scientific Research and Technological Applications(SRTA-City)New Borg El-ArabAlexandria21934Egypt Department of Public Works Engineering Faculty of EngineeringMansoura UniversityMansoura35516Egypt Environmental Engineering Department Egypt-Japan University of Science and TechnologyNew Borg El-ArabAlexandriaEgypt electronic Materials Research Department Advanced Technology and NewMaterials Research InstituteCity of Scientific Research and Technological Applications(SRTA-City)New Borg El-ArabAlexandria21934Egypt

In this study,green zinc oxide(ZnO)/polypyrrole(Ppy)/cellulose acetate(CA)film has been synthesized via solvent *** film was used as supporting material for glucose oxidase(GOx)to sensitize a glucose *** nanoparticles have been prepared via the green route using olive leaves extract as a ***/Ppy nanocomposite has been synthesized by a simple in-situ chemical oxidative polymerization of pyrrole(Py)monomer using ferric chloride(FeCl3)as an oxidizing *** produced materials and the composite films were characterized using X-ray diffraction analysis(XRD),scanning electron microscope(SEM),Fourier transform infrared(FTIR)and thermogravimetric analysis(TGA).Glucose oxidase was successfully immobilized on the surface of the prepared film and then ZnO/Ppy/CA/GOx composite was sputtered with platinum electrode for the current determination at different initial concentrations of *** measurements proved the suitability and the high sensitivity of the constructed biosensor for the detection of glucose levels in different *** performance of the prepared biosensor has been assessed by measuring and comparing glucose concentrations up to 800 *** results affirmed the reliability of the developed biosensor towards real samples which suggests the wide-scale application of the proposed biosensor.

关键词： Biosensors composite films glucose polypyrrole green ZnO cellulose acetate

Saffron(Crocus sativus L.) stigmas as a potential natural additive to improve oxidative stability attributes of sunflower(Helianthus annuus L.) oil stored under different conditions

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Grain & Oil Science and Technology 2024年第3期7卷 133-149页

作者： Moussa Nid Ahmed Karima Abourat Jamila Gagour el hassan Sakar Khalid Majourhat Said Gharby Biotechnology Analytical Sciences and Quality Control Team Polydisciplinary Faculty of Taroudant University Ibnou Zohr Laboratory of Biology Ecology and Health FS Abdelmalek Essaadi University Geo-Bio-Environmental Engineering and Innovation Laboratory Polydisciplinary Faculty of Taroudant University Ibnou Zohr

The aim of our study was to explore the antioxidant potential of Moroccan saffron stigmas（SS） and examine their performance as a natural antioxidant in enhancing the stability and quality properties of edible sunflower oil（SO）, with a focus on understanding the critical importance of edible oil stability for predicting quality deterioration during storage. Bearing this in mind, our research was designed to compare the efficacy of three concentrations of dried SS（at 0.2%, 0.3%, and 0.6%） against tocobiol（a synthetic antioxidant） as a positive control（at 0.3% concentration）. This comparison was conducted under three distinct storage conditions namely accelerated ageing（60 ℃）, exposure to light at ambient temperature, and darkness, to evaluate their impact on preventing severe oxidation and extending oil shelf-life. Oxidation state evolution was evaluated through peroxide value（PV）, free fatty acid（FFA）, anisidine value（p-AV）, K270value（conjugated trienes）, total oxidation index（TOTOX）, iodine value（IV）, and fatty acid composition（FA）. Our results revealed notable differences in stability tracking parameters. Specifically, these parameters were higher in samples stored under accelerated conditions, followed by the samples stored in ambient light, while those stored in darkness showed the highest stability among the three storage conditions. Supplementation of sunflower oil with SS and tocobiol significantly enhanced its oxidation stability. Notably, SS exhibited exceptional effectiveness in stabilizing sunflower oil regardless of SS dose, with the highest efficacy observed at 0.6%. This was evidenced by the slower rate of oxidation parameters under various storage conditions, highlighting a superior antioxidant activity compared to both the non-enriched oil and tocobiol-enriched oil. Furthermore, saffron stigmas, used as a natural supplement,contributed to the preservation of polyunsaturated fatty acids, indicating its potential as a robust source of natural antioxidan

关键词： Crocus sativus L. Helianthus annuus L. Saffron stigmas Shelf-life Sunflower oil Tocobiol

Comparison between seismic analysis of twisting and regular 52-story towers considering soil-structure interaction

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Earthquake Engineering and Engineering Vibration 2024年第3期23卷 663-675页

作者： Mohamed Naguib Abouelsaad Mohammed Shaaban Salah el Bagalaty Mohamed E.el Madawy Structural Engineering Department Faculty of EngineeringMansura UniversityMansoura 35511Egypt Faculty of Engineering Delta University for Science and TechnologyGamasa 35712Egypt

A dynamic analysis of both twisting and regular towers is carried out to determine the results of considering soil-structure interaction(SSI)on high-rise *** addition,the difference between the seismic performance of using twisting towers over regular ones is *** twisting tower is a simulation of the Evolution Tower(Moscow).The towers’skeletons consist of RC elements and rest on a reinforced concrete piled-raft *** soil model is considered as multi-layered with the same soil properties as the zone chosen for the analysis(New Mansoura City,Egypt).The only difference between both towers is their shape in *** whole system is modelled and analyzed in a single step as one full 3D model,which is known as the direct approach in *** analyses are carried out using finite-element software(Midas GTS NX).Dynamic output responses due to three records of seismic loads are proposed and presented in some *** on the results,it is concluded that SSI has a considerable effect on the dynamic response of tall buildings mainly because of the foundation flexibility,as it leads to lengthening the vibration period,increasing the story drift and the base shear for both cases.

关键词： soil-structure interaction seismic analysis twisting towers base shear story drift finite element method Midas GTS NX

Thermo-Physical Potential of Recycled Banana Fibers for Improving the Thermal and Mechanical Properties of Biosourced Gypsum-Based Materials

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Journal of Renewable Materials 2024年第4期12卷 843-867页

作者： Youssef Maaloufa Soumia Mounir Sara Ibnelhaj Fatima Zohra el Wardi Asma Souidi Yakubu Aminu Dodo Malika Atigui Mina Amazal Abelhamid Khabbazi hassan Demrati Ahmed Aharoune National School of Architecture Agadir New ComplexIbn Zohr UniversityAgadirMorocco Energy Materials and Sustainable Development(EMDD)Center for WaterNatural ResourcesEnvironment and Sustainable Development(CERNE2D)Mohammed V UniversityRabatMorocco Thermodynamics and Energetics Laboratory Faculty of ScienceIbn Zohr UniversityAgadirMorocco Architectural Engineering Department Najran UniversityNajranSaudi Arabia The Centre of Scientific and Engineering Research Najran UniversityNajranSaudi Arabia Physics Department LPMAT LaboratoryFaculty of Sciences Ain ChockHassan II UniversityCasablancaMorocco

The development of bio-sourced materials is essential to ensuring sustainable construction;it is considered a locomotive of the green ***,it is an abundant material in our country,to which very little attention is being *** work aims to valorize the waste of the trunks of banana trees to be used in ***,the physicochemical properties of the fiber,such as the percentage of crystallization and its morphology,have been determined by X-ray diffraction tests and scanning electron microscopy to confirm the potential and the impact of the mode of drying on the quality of the banana fibers,with the purpose to promote the use of this material in ***,the results obtained with the gypsum matrix allowed us to note a preponderant improvement in the composite’s thermal properties thanks to the variation of the banana fiber ***,the impact of the nature of the banana fiber distribution(either fiber mixed in matrix or fiber series model)on the flexural and compressive strengths of the composites was *** results obtained indicate that the insulation gain reaches up to 40%.It depends on the volume fraction and type of distribution of the banana ***,the thermal inertia of the composites developed,represented by thermal diffusivity and thermal effusivity,was *** indicate a gain of 40%and 25%,respectively,in terms of thermal diffusivity and thermal effusivity of the developed composites compared to plaster *** the mechanical properties,the flexural strength depends on the percentage of the volume fraction of banana fibers used,and it can reach 20%more than the flexural strength of plaster;nevertheless,there is a significant loss in terms of the compressive strength of the studied *** results obtained are confirmed by the microstructure of the fiber *** fact,the morphology of the banana fibers was improved by the drying *** reduces the amorphous area an

关键词： Biosourced materials fiber banana flexural strength mechanical properties open-air drying plaster thermal properties waste management

Gender-Based Analysis of User Reactions to Facebook Posts

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Big Data Mining and Analytics 2024年第1期7卷 75-86页

作者： Yassine el Moudene Jaafar Idrais Rida el Abassi Abderrahim Sabour Mathematical Engineering and Computer Science Laboratory Faculty of SciencesIbn Zohr UniversityAgadir 8706Morocco Department of Computer Science Mathematical−High School of Technology Ibn Zohr UniversityAgadir 8706Morocco

Online Social Networks(OSNs)are based on the sharing of different types of information and on various interactions(comments,reactions,and sharing).One of these important actions is the emotional reaction to the *** diversity of reaction types available on Facebook(namely FB)enables users to express their feelings,and its traceability creates and enriches the users’emotional identity in the virtual *** paper is based on the analysis of 119875012 FB reactions(Like,Love,Haha,Wow,Sad,Angry,Thankful,and Pride)made at multiple levels(publications,comments,and sub-comments)to study and classify the users’emotional behavior,visualize the distribution of different types of reactions,and analyze the gender impact on emotion *** of these can be achieved by addressing these research questions:who reacts the most?Which emotion is the most expressed?

关键词： profiling knowledge extraction data mining emotion mining social media data crawling Facebook reactions gender

Stability analysis of a time-delayed Van der Pol–Helmholtz–Duffing oscillator in fractal space with a non-perturbative approach

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Communications in Theoretical Physics 2024年第4期76卷 22-31页

作者： Yusry O el-Dib Department of Mathematics Faculty of EducationAin Shams UniversityRoxyCairoEgypt

The time-delayed fractal Van der Pol–Helmholtz–Duffing(VPHD)oscillator is the subject of this paper,which explores its mechanisms and highlights its stability *** time-delayed technologies are currently garnering significant attention,the focus of this research remains crucially relevant.A non-perturbative approach is employed to refine and set the stage for the system under *** innovative methodologies introduced yield an equivalent linear differential equation,mirroring the inherent nonlinearities of the ***,the incorporation of quadratic nonlinearity into the frequency formula represents a cutting-edge *** analytical solution's validity is corroborated using a numerical *** conditions are ascertained through the residual Galerkin ***,it is observed that the delay parameter,in the context of the fractal system,reverses its stabilizing influence,impacting both the amplitude of delayed velocity and the *** analytical solution's precision is underscored by its close alignment with numerical ***,the study reveals that fractal characteristics emulate damping *** its applicability across diverse nonlinear dynamical systems,this non-perturbative approach emerges as a promising avenue for future research.

关键词： Van der Pol-Helmholtz-Duffing oscillator fractal space time-delay non-perturbative approach stability analysis el-Dib's frequency formula

Nonlinear wave dispersion in monoatomic chains with lumped and distributed masses:discrete and continuum models

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Applied Mathematics and Mechanics(English Edition) 2024年第4期45卷 633-648页

作者： E.GHAVANLOO S.el-BORGI School of Mechanical Engineering Shiraz UniversityShiraz 71963-16548Iran Mechanical Engineering Program Texas A&M University at QatarDoha 23874Qatar

The main objective of this paper is to investigate the influence of inertia of nonlinear springs on the dispersion behavior of discrete monoatomic chains with lumped and distributed *** developed model can represent the wave propagation problem in a non-homogeneous material consisting of heavy inclusions embedded in a *** inclusions are idealized by lumped masses,and the matrix between adjacent inclusions is modeled by a nonlinear spring with distributed ***,the model is capable of depicting the wave propagation in bi-material bars,wherein the first material is represented by a rigid particle and the second one is represented by a nonlinear spring with distributed *** discrete model of the nonlinear monoatomic chain with lumped and distributed masses is first considered,and a closed-form expression of the dispersion relation is obtained by the second-order Lindstedt-Poincare method(LPM).Next,a continuum model for the nonlinear monoatomic chain is derived directly from its discrete lattice model by a suitable continualization *** subsequent use of the second-order method of multiple scales(MMS)facilitates the derivation of the corresponding nonlinear dispersion relation in a closed *** novelties of the present study consist of(i)considering the inertia of nonlinear springs on the dispersion behavior of the discrete mass-spring chains;(ii)developing the second-order LPM for the wave propagation in the discrete chains;and(iii)deriving a continuum model for the nonlinear monoatomic chains with lumped and distributed ***,a parametric study is conducted to examine the effects of the design parameters and the distributed spring mass on the nonlinear dispersion relations and phase velocities obtained from both the discrete and continuum *** parameters include the ratio of the spring mass to the lumped mass,the nonlinear stiffness coefficient of the spring,and the wave amplitude.

关键词： nonlinear mass-spring chain discrete model continuum model LindstedtPoincare method(LPM) method of multiple scales(MMS) dispersion phase velocity