Convergence Analysis of the Lowest Order Weakly Penalized Adaptive Discontinuous Galerkin Methods

In this article, we prove convergence of the weakly penalized adaptive discontinuous Galerkin methods. Unlike other works, we derive the contraction property for various discontinuous Galerkin methods only assuming the stabilizing parameters are large enough to stabilize the method. A central idea in the analysis is to construct an auxiliary solution from the discontinuous Galerkin solution by a simple post processing. Based on the auxiliary solution, we define the adaptive algorithm which guides to the convergence of adaptive discontinuous Galerkin methods

A Frame Work for the Error Analysis of Discontinuous Finite Element Methods for Elliptic Optimal Control Problems and Applications to C0C^0 IP methods

In this article, an abstract framework for the error analysis of discontinuous Galerkin methods for control constrained optimal control problems is developed. The analysis establishes the best approximation result from a priori analysis point of view and delivers reliable and efficient a posteriori error estimators. The results are applicable to a variety of problems just under the minimal regularity possessed by the well-posed ness of the problem. Subsequently, applications of $C^0$ interior penalty methods for a boundary control problem as well as a distributed control problem governed by the biharmonic equation subject to simply supported boundary conditions are discussed through the abstract analysis. Numerical experiments illustrate the theoretical findings. Finally, we also discuss the variational discontinuous discretization method (without discretizing the control) and its corresponding error estimates.Comment: 23 pages, 5 figures, 1 tabl

Estimation of Severity of Speech Disability through Speech Envelope

In this paper, envelope detection of speech is discussed to distinguish the pathological cases of speech disabled children. The speech signal samples of children of age between five to eight years are considered for the present study. These speech signals are digitized and are used to determine the speech envelope. The envelope is subjected to ratio mean analysis to estimate the disability. This analysis is conducted on ten speech signal samples which are related to both place of articulation and manner of articulation. Overall speech disability of a pathological subject is estimated based on the results of above analysis.Comment: 8 pages,4 Figures,Signal & Image Processing Journal AIRC

Evaluation of non-invasive biomarkers for carcinogenic exposure to cigarette smoke

Purpose. To investigate urinary 1-hydroxypyrene glucuronide (1-OHPG) and benzo (a) pyrene 7,10/8,-tetrol (BaPT) levels as non-invasive biomarkers for exposure to cigarette smoke.;Methods. Volunteers, smokers ({dollar}\ge{dollar}20 cigarettes/day) and non-smokers (5 females + 6 males in each group), provided multiple urine samples. Urine samples from psoriasis patients undergoing coal tar therapy were also obtained. Urinary BaPT and 1-OHPG levels were assayed.;Results. While BaPT levels ranged from undetectable to 11 pmol/10ml in psoriasis patients (mean = 4 {dollar}\pm{dollar} 3.4 pmol/10ml), most samples from smokers or non-smokers had undetectable levels (limit of detection = 25 fmol/10ml urine). Urinary 1-OHPG levels were significantly higher among smokers (mean log 1-OHPG = 1.72 {dollar}\pm{dollar} 0.93) than among nonsmokers (mean log 1-OHPG = 0.80 {dollar}\pm{dollar} 0.92) (P {dollar}\u3c{dollar} 0.05). Conclusion. Higher assay sensitivity is required to monitor urinary levels of BaPT in smokers. 1-OHPG levels in urine may prove useful in monitoring exposure to carcinogenic PAH from tobacco smoke

Awareness and Possession of Digital Competencies for Digital Entrepreneurship

AMCIS: Awareness and Possession of Digital Competencies for Digital Entrepreneurship TREO Talk Paper Arvind Gudi Nova Southeastern University [email protected] Ravi Chinta Nova Southeastern University [email protected] Abstract With the rapid development and expansion of digital technologies, we see the emergence of digital entrepreneurship which is the intersection of digital technology and entrepreneurship. As it gains prominence in the economic ecosystem, this topic is of interest to academics, practitioners and policymakers in general. The pre start-up phase in entrepreneurship, which is of particular interest to researchers and entrepreneurial enthusiasts, is still under-researched. Understanding what drives the incessant urge to start a new business in the minds of potential entrepreneurs is still in inchoate stages, given the high risks and uncertainties involved in start-up businesses. Extant literature in entrepreneurship has identified several determinants of persistence of thinking about start-up opportunities, which is essential for entrepreneurship. However, our literature review indicates that there is a paucity of similar research in digital start-ups (Hi-Tech Internet businesses). Our study is designed to fill this gap. This study seeks to explore how digital technologies can drive and influence entrepreneurship. We apply the proposed Digital Entrepreneurship framework (Recker and von Briel 2019) for analysis. The framework suggests three dimensions of digital technologies which can influence entrepreneurship: digital enablers, digital outcomes and digital contexts of entrepreneurial processes. We explore the constructs of awareness of importance of digital capabilities (i.e. digital strategies which include both general and specialized business analytics capabilities), and possession of digital competencies (i.e. knowledge, skills and training). We test the effects of these constructs as drivers of persistence of thinking about opportunities for digital start-ups. We intend to explore which of the above two factors is a necessary and/or sufficient condition for success in entrepreneurship and which dimensions in the framework need to be emphasized. The study has been funded by a research grant and data has been gathered in the state of Florida from approximately 1200 entrepreneurs intending to start a business. Criteria for selection of respondents included: “Intending to start business within next four years”, “Resident of State of Florida”, and “Have not started a business before”. Qualtrics panels conducted the initial screening to select the pool of respondents to send the survey. Three phases of survey selection were conducted to gather the sample of 1200 completed questionnaires. The final research sample comprised of 600 women and 600 men intending to start a business in Florida. Our results show that the awareness of importance of digital capabilities positively affect the persistence of thought about digital start-ups, whereas awareness of the importance of business analytics capabilities does not. More interestingly, the effect of the interaction between awareness and possession is significant and positive on persistence of thought. That is, greater the awareness of importance of digital capabilities, stronger is the relationship between possession of relevant digital competencies and the persistence of thought to start Hi-Tech (Internet) businesses. We expect that this study will contribute to the exciting and novel research stream in digital entrepreneurship, provide managerial implications and insights and offer opportunities related to digital enablers, digital outcomes and digital contexts of entrepreneurial processes. References Recker, J., and von Briel, F. 2019. “The Future of Digital Entrepreneurship Research: Existing and Emerging Opportunities” in Fortieth International Conference on Information Systems, Munich 2019

A Hybrid High-Order Method for a Class of Strongly Nonlinear Elliptic Boundary Value Problems

In this article, we design and analyze a Hybrid High-Order (HHO) finite element approximation for a class of strongly nonlinear boundary value problems. We consider an HHO discretization for a suitable linearized problem and show its well-posedness using the Gardings type inequality. The essential ingredients for the HHO approximation involve local reconstruction and high-order stabilization. We establish the existence of a unique solution for the HHO approximation using the Brouwer fixed point theorem and contraction principle. We derive an optimal order a priori error estimate in the discrete energy norm. Numerical experiments are performed to illustrate the convergence histories.Comment: arXiv admin note: substantial text overlap with arXiv:2110.1557

Post-training load-related changes of auditory working memory: An EEG study

Working memory (WM) refers to the temporary retention and manipulation of information, and its capacity is highly susceptible to training. Yet, the neural mechanisms that allow for increased performance under demanding conditions are not fully understood. We expected that post-training efficiency in WM performance modulates neural processing during high load tasks. We tested this hypothesis, using electroencephalography (EEG) (N = 39), by comparing source space spectral power of healthy adults performing low and high load auditory WM tasks. Prior to the assessment, participants either underwent a modality-specific auditory WM training, or a modality-irrelevant tactile WM training, or were not trained (active control). After a modality-specific training participants showed higher behavioral performance, compared to the control. EEG data analysis revealed general effects of WM load, across all training groups, in the theta-, alpha-, and beta-frequency bands. With increased load theta-band power increased over frontal, and decreased over parietal areas. Centro-parietal alpha-band power and central beta-band power decreased with load. Interestingly, in the high load condition a tendency toward reduced beta-band power in the right medial temporal lobe was observed in the modality-specific WM training group compared to the modality-irrelevant and active control groups. Our finding that WM processing during the high load condition changed after modality-specific WM training, showing reduced beta-band activity in voice-selective regions, possibly indicates a more efficient maintenance of task-relevant stimuli. The general load effects suggest that WM performance at high load demands involves complementary mechanisms, combining a strengthening of task-relevant and a suppression of task-irrelevant processing