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Articles 601 - 630 of 144823

Full-Text Articles in Physical Sciences and Mathematics

Preperiodic Points Of Polynomial Dynamical Systems Over Finite Fields, Aaron Andersen, Derek Garton Jun 2024

Preperiodic Points Of Polynomial Dynamical Systems Over Finite Fields, Aaron Andersen, Derek Garton

Mathematics and Statistics Faculty Publications and Presentations

For a prime p, positive integers r,n, and a polynomial f with coefficients in Fpr, let Wp,r,n(f) = fn(Fpr) ∖ fn+1(Fpr). As n varies, the Wp,r,n(f) partition the set of strictly preperiodic points of the dynamical system induced by the action of f on Fpr. In this paper we compute statistics of strictly preperiodic points of dynamical systems induced by unicritical polynomials over finite fields by obtaining effective upper bounds for the proportion of Fpr lying in a given Wp,r,n(f). Moreover, when we generalize our definition of Wp,r,n(f), we obtain both upper and lower bounds for the resulting averages.


Optical Modeling Of Systematic Uncertainties In Detector Polarization Angles For The Atacama Cosmology Telescope, Colin C. Murphy, Steve K. Choi, Rahul Datta, Mark J. Devlin, Matthew Hasselfield, Brian J. Koopman, Jeff Mcmahon, Sigurd Naess, Michael D. Niemack, Lyman A. Page, Suzanne T. Staggs, Robert J. Thornton, Edward J. Wollack Jun 2024

Optical Modeling Of Systematic Uncertainties In Detector Polarization Angles For The Atacama Cosmology Telescope, Colin C. Murphy, Steve K. Choi, Rahul Datta, Mark J. Devlin, Matthew Hasselfield, Brian J. Koopman, Jeff Mcmahon, Sigurd Naess, Michael D. Niemack, Lyman A. Page, Suzanne T. Staggs, Robert J. Thornton, Edward J. Wollack

Physics & Engineering Faculty Publications

We present an estimate of the Atacama Cosmology Telescope (ACT) detector polarization angle systematic uncertainty from optics perturbation analysis using polarization-sensitive ray tracing in CODE V optical design software. Uncertainties in polarization angle calibration in CMB measurements can limit constraints on cosmic birefringence and other cosmological parameters sensitive to polarization leakage. Our framework estimates the angle calibration systematic uncertainties from possible displacements in lens positions and orientations, and anti-reflection coating (ARC) thicknesses and refractive indices. With millimeter displacements in lens positions and percent-level perturbations in ARC thicknesses and indices from design, we find the total systematic uncertainty for three ACT …


Mechanistic Rationale For Ketene Formation During Dabbing And Vaping, Kaelas R. Munger, Killian M. Anreise, Robert P. Jensen, David H. Peyton, Robert M. Strongin Jun 2024

Mechanistic Rationale For Ketene Formation During Dabbing And Vaping, Kaelas R. Munger, Killian M. Anreise, Robert P. Jensen, David H. Peyton, Robert M. Strongin

Chemistry Faculty Publications and Presentations

Ketene is one of the most toxic vaping emissions identified to date. However, its high reactivity renders it relatively challenging to identify. In addition, certain theoretical studies have shown that realistic vaping temperature settings may betoo low to produce ketene. Each of these issues is addressed herein. First, an isotopically labeled acetate precursor is used for the identification of ketene with enhanced rigor in vaped aerosols. Second, discrepancies between theoretical and experimental findings are explained by accounting for the effects of aerobic (experimental) versus anaerobic (simulated and theoretical) pyrolysis conditions. This finding is also relevant to explaining the relatively low-temperature …


Interpenetrated Lattices Of Quaternary Chalcogenides Displaying Magnetic Frustration, High Na-Ion Conductivity, And Cation Redox In Na-Ion Batteries, Santhoshkumar Sundaramoorthy, Srikanth Balijapelly, Sudip Mohapatra, Sutapa Bhattacharya, Kartik Ghosh, Amitava Choudhury Jun 2024

Interpenetrated Lattices Of Quaternary Chalcogenides Displaying Magnetic Frustration, High Na-Ion Conductivity, And Cation Redox In Na-Ion Batteries, Santhoshkumar Sundaramoorthy, Srikanth Balijapelly, Sudip Mohapatra, Sutapa Bhattacharya, Kartik Ghosh, Amitava Choudhury

Chemistry Faculty Research & Creative Works

A series of quaternary selenides, NaxMGaSe4 (M = Mn, Fe, and mixed Zn/Fe), have been synthesized for the first time employing a high-temperature solid-state synthesis route through stochiometric or polychalcogenide flux reactions. Along with the selenides, a previously reported sulfide analogue, NaxFeGaS4, is also revisited with new findings. These compounds form an interpenetrated structure made up of a supertetrahedral unit. The electrochemical evaluations exhibit a reversible (de)intercalation of ∼0.6 and ∼0.45 Na-ions, respectively, from Na2.87FeGaS4 (1a) and Na2.5FeGaSe4 (2) involving Fe2+/Fe3+ redox when cycled between 1.5 and 2.5 …


Automating An Industrial Dishwashing System Using Hardware-In-The-Loop Plc Simulation With Factory I/O, Paniz Khanmohammadi Hazaveh, Nathir Rawashdeh, Dunsten M. X. Dsouza, Joshua Olusola, Joshua Albrecht, Eric Houck Jun 2024

Automating An Industrial Dishwashing System Using Hardware-In-The-Loop Plc Simulation With Factory I/O, Paniz Khanmohammadi Hazaveh, Nathir Rawashdeh, Dunsten M. X. Dsouza, Joshua Olusola, Joshua Albrecht, Eric Houck

Michigan Tech Publications, Part 2

While industrial automation is growing in many industries, the hospitality industry has not seen much technological innovation recently. This leaves a wealth of potential for the implementation of automated solutions, especially at large-scale operations, like university dining halls or cruise ship restaurants. This paper details a student project developed in the advanced programmable logic controllers class. It is part of the master program in mechatronics. Students work in groups in a creative setting, where they learn to integrate various automation technologies and learn to write scientific publications. The project implements the automation of a student dining hall dishwashing system using …


Creative Insights Into Motion: Enhancing Human Activity Understanding With 3d Data Visualization And Annotation, Isaac Browen, Hector M. Camarillo-Abad, Franceli L. Cibrian, Trudi Di Qi Jun 2024

Creative Insights Into Motion: Enhancing Human Activity Understanding With 3d Data Visualization And Annotation, Isaac Browen, Hector M. Camarillo-Abad, Franceli L. Cibrian, Trudi Di Qi

Engineering Faculty Articles and Research

This paper presents a novel 3D system for human motion analysis - Motion Data Visualization and Annotation (MoViAn). Designed to provide a comprehensive visual representation of 3D human motion data, MoViAn incorporates detailed visualization of gaze direction, hand movements, and object interactions, alongside an interactive interface for efficient data annotation. A user study involving eight participants indicates that MoViAn enables users to thoroughly explore and annotate human motion data, with System Usability Scale (SUS) results demonstrating a satisfactory usability level. The contribution of this paper lies in the development of an interactive and usable data analytics tool aimed at deepening …


Plc Multi-Robot Integration Via Ethernet For Human Operated Quality Sampling, Jeevan S. Devagiri, Paniz Khanmohammadi Hazaveh, Nathir Rawashdeh, Sai Revanth Reddy Dudipala, Pratik Mohan Desmuhk, Aditya Prasad Karmarkar Jun 2024

Plc Multi-Robot Integration Via Ethernet For Human Operated Quality Sampling, Jeevan S. Devagiri, Paniz Khanmohammadi Hazaveh, Nathir Rawashdeh, Sai Revanth Reddy Dudipala, Pratik Mohan Desmuhk, Aditya Prasad Karmarkar

Michigan Tech Publications, Part 2

In automation, quality control inspection is a critical requirement to ensure product standards. The goal of this work is to insure product quality without interrupting the production line flow. The multi-robot system presented, connects a programmable logic controller (PLC), as the main controller, to a conveyor belt and two FANUC industrial robotic arms via EtherNet/IP. Human interaction is implemented to pick a work piece from the moving conveyor and return it with a quality label. This label is used by the PLC to execute the correct robot action; either to return the inspected part to the conveyor or discard it …


Designing Dual-Responsive Drug Delivery Systems: The Role Of Phase Change Materials And Metal-Organic Frameworks., Wanying Wei, Ping Lu Jun 2024

Designing Dual-Responsive Drug Delivery Systems: The Role Of Phase Change Materials And Metal-Organic Frameworks., Wanying Wei, Ping Lu

College of Science & Mathematics Departmental Research

Stimuli-responsive drug delivery systems (DDSs) offer precise control over drug release, enhancing therapeutic efficacy and minimizing side effects. This review focuses on DDSs that leverage the unique capabilities of phase change materials (PCMs) and metal-organic frameworks (MOFs) to achieve controlled drug release in response to pH and temperature changes. Specifically, this review highlights the use of a combination of lauric and stearic acids as PCMs that melt slightly above body temperature, providing a thermally responsive mechanism for drug release. Additionally, this review delves into the properties of zeolitic imidazolate framework-8 (ZIF-8), a stable MOF under physiological conditions that decomposes in …


Bounds For The Regularity Radius Of Delone Sets, Nikolay Dolbilin, Alexey Garber, Egon Schulte, Marjorie Senechal Jun 2024

Bounds For The Regularity Radius Of Delone Sets, Nikolay Dolbilin, Alexey Garber, Egon Schulte, Marjorie Senechal

School of Mathematical and Statistical Sciences Faculty Publications and Presentations

Delone sets are discrete point sets X in Rd characterized by parameters (r, R), where (usually) 2r is the smallest inter-point distance of X, and R is the radius of a largest “empty ball” that can be inserted into the interstices of X. The regularity radius ρ^d is defined as the smallest positive number ρ such that each Delone set with congruent clusters of radius ρ is a regular system, that is, a point orbit under a crystallographic group. We discuss two conjectures on the growth behavior of the regularity radius. Our “Weak Conjecture” states that ρ^d=O(d2log2d)R as d→∞ , …


A Simple Mobile Plausibly Deniable System Using Image Steganography And Secure Hardware, Lichen Xia, Jinghui Liao, Niusen Chen, Bo Chen, Weisong Shi Jun 2024

A Simple Mobile Plausibly Deniable System Using Image Steganography And Secure Hardware, Lichen Xia, Jinghui Liao, Niusen Chen, Bo Chen, Weisong Shi

Michigan Tech Publications, Part 2

Traditional encryption methods cannot defend against coercive attacks in which the adversary captures both the user and the possessed computing device, and forces the user to disclose the decryption keys. Plausibly deniable encryption (PDE) has been designed to defend against this strong coercive attacker. At its core, PDE allows the victim to plausibly deny the very existence of hidden sensitive data and the corresponding decryption keys upon being coerced. Designing an efficient PDE system for a mobile platform, however, is challenging due to various design constraints bound to the mobile systems. Leveraging image steganography and the built-in hardware security feature …


Supplementary Files For "Using Digitized Building And Weather Records To Improve The Accuracy Of Ground To Roof Snow Load Ratio Estimations", Gideon Parry, Brennan Bean Jun 2024

Supplementary Files For "Using Digitized Building And Weather Records To Improve The Accuracy Of Ground To Roof Snow Load Ratio Estimations", Gideon Parry, Brennan Bean

Browse all Datasets

Reliability targeted snow loads (RTLs) measure the weight in accumulated snow (i.e. snow load) that a roof is required to support to ensure the probability of failure is suf- ficiently low. This calculation has historically relied upon a probability distribution that characterizes the ratio between the annual maximum ground snow load to the annual max- imum roof snow load, a quantity referred to as Gr. The best available data for estimating Gr comes from Canadian case studies from the 1950s and 1960s. However, much of the data was never digitized, with only approximations of data being made available in scanned …


2024 June 20 - Tennessee Weekly Drought Summary, Tennessee Climate Office, East Tennessee State University Jun 2024

2024 June 20 - Tennessee Weekly Drought Summary, Tennessee Climate Office, East Tennessee State University

Tennessee Climate Office Weekly Drought Summaries

No abstract provided.


Do You Say Please Or Thank You To Chatgpt? The Subtle Influence Of Prompt Engineering On Digital Civility, Essraa Nawar Jun 2024

Do You Say Please Or Thank You To Chatgpt? The Subtle Influence Of Prompt Engineering On Digital Civility, Essraa Nawar

Library Articles and Research

"

In the dynamic and rapidly evolving landscape of artificial intelligence, tools like ChatGPT have become integral to our daily digital interactions. These advanced AI systems assist us with a myriad of tasks, from generating text and answering complex questions to providing creative solutions. However, as we engage more frequently with these non-human entities, an intriguing question arises: Are we inadvertently becoming ruder in our digital communications, or are we consciously maintaining our ingrained habits of politeness?"


Accelerated Particle Swarm Optimization Algorithm For Efficient Cluster Head Selection In Wsn, Imtiaz Ahmad, Tariq Hussain, Babar Shah, Altaf Hussain, Iqtidar Ali, Farman Ali Jun 2024

Accelerated Particle Swarm Optimization Algorithm For Efficient Cluster Head Selection In Wsn, Imtiaz Ahmad, Tariq Hussain, Babar Shah, Altaf Hussain, Iqtidar Ali, Farman Ali

All Works

Numerous wireless networks have emerged that can be used for short communication ranges where the infrastructure-based networks may fail because of their installation and cost. One of them is a sensor network with embedded sensors working as the primary nodes, termed Wireless Sensor Networks (WSNs), in which numerous sensors are connected to at least one Base Station (BS). These sensors gather information from the environment and transmit it to a BS or gathering location. WSNs have several challenges, including throughput, energy usage, and network lifetime concerns. Different strategies have been applied to get over these restrictions. Clustering may, therefore, be …


The Glucosylamine Oxidation Pathway Of Vitamin C Recycling, James M. Hempe, Daniel S. Hsia, Arthur Hagar, Larry Byers Jun 2024

The Glucosylamine Oxidation Pathway Of Vitamin C Recycling, James M. Hempe, Daniel S. Hsia, Arthur Hagar, Larry Byers

School of Medicine Faculty Publications

The proposed glucosylamine oxidation pathway (GOP) is a two-step, intraerythrocyte, thermodynamically favorable nonenzymatic reaction that first binds glucose to the N-terminal valine of beta globin (βVal1) to form a closed-chain glucosylamine that can spontaneously reduce oxidized vitamin C to its antioxidant form. This review summarizes analytical, biochemical and clinical research supporting the existence of the GOP and the surprising hypothesis that βVal1 glucosylamine is a reducing agent that works cooperatively with reduced glutathione to dynamically regulate vitamin C recycling during naturally occurring periods of transiently or chronically elevated blood glucose and oxidant production. Rationale for the existence of the GOP …


Primary Care Payment Models And Avoidable Hospitalizations In Ontario, Canada: A Multivalued Treatment Effects Analysis., Nibene Habib Somé, Rose Anne Devlin, Nirav Mehta, Sisira Sarma Jun 2024

Primary Care Payment Models And Avoidable Hospitalizations In Ontario, Canada: A Multivalued Treatment Effects Analysis., Nibene Habib Somé, Rose Anne Devlin, Nirav Mehta, Sisira Sarma

Epidemiology and Biostatistics Publications

Improving access to primary care physicians' services may help reduce hospitalizations due to Ambulatory Care Sensitive Conditions (ACSCs). Ontario, Canada's most populous province, introduced blended payment models for primary care physicians in the early- to mid-2000s to increase access to primary care, preventive care, and better chronic disease management. We study the impact of payment models on avoidable hospitalizations due to two incentivized ACSCs (diabetes and congestive heart failure) and two non-incentivized ACSCs (angina and asthma). The data for our study came from health administrative data on practicing primary care physicians in Ontario between 2006 and 2015. We employ a …


Butte Priority Soils Operable Unit (Bpsou) Draft Final Insufficiently Reclaimed Sites Field Sampling Plan (Fsp) Bres No. 181 – Mountain Con-3 Dump, Mike Mcanulty Jun 2024

Butte Priority Soils Operable Unit (Bpsou) Draft Final Insufficiently Reclaimed Sites Field Sampling Plan (Fsp) Bres No. 181 – Mountain Con-3 Dump, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.


Fspde: A Full Stack Plausibly Deniable Encryption System For Mobile Devices, Jinghui Liao, Niusen Chen, Lichen Xia, Bo Chen, Weisong Shi Jun 2024

Fspde: A Full Stack Plausibly Deniable Encryption System For Mobile Devices, Jinghui Liao, Niusen Chen, Lichen Xia, Bo Chen, Weisong Shi

Michigan Tech Publications, Part 2

In today’s digital landscape, the ubiquity of mobile devices underscores the urgent need for stringent security protocols in both data transmission and storage. Plausibly deniable encryption (PDE) stands out as a pivotal solution, particularly in jurisdictions marked by rigorous regulations or increased vulnerabilities of personal data. However, the existing PDE systems for mobile platforms have evident limitations. These include vulnerabilities to multi-snapshot attacks over RAM and flash memory, an undue dependence on non-secure operating systems, traceable PDE entry point, and a conspicuous PDE application prone to reverse engineering. To address these limitations, we have introduced FSPDE, the first Full-Stack mobile …


Extreme Value Statistics Analysis Of Process Defects In Additive Manufacturing Materials, Ayorinde E. Olatunde, Kristen Hernandez, Austin Ngo, Arafath Nihar, Thomas G. Ciardi, Rachel Yamamoto, Pawan K. Tripathi, Roger H. French, John J. Lewandowski, Anirban Mondal Jun 2024

Extreme Value Statistics Analysis Of Process Defects In Additive Manufacturing Materials, Ayorinde E. Olatunde, Kristen Hernandez, Austin Ngo, Arafath Nihar, Thomas G. Ciardi, Rachel Yamamoto, Pawan K. Tripathi, Roger H. French, John J. Lewandowski, Anirban Mondal

Faculty Scholarship

Fatigue and fracture studies focused on process defects that occur in Additive Manufacturing (AM) materials have shown that defect populations possess features which are better measured with extreme value statistics (EVS). In AM alloys, defect occurrences increase with material volume. This situation facilitates the need to model process defects in the path of fatigue crack growth with suitable statistical tools, such as EVS, which is more cost-effective when compared to destructive experiments. The application of EVS on defect space features helps determine the difference in defects present on fracture surfaces. As the fatigue quality of any material depends on its …


Risk Of Climate Damage In The Mountain West, 2024, Taylor Volk, Isabelle G. Graham, Ivan Sun, Zachary Billot, Caitlin J. Saladino, William E. Brown Jr. Jun 2024

Risk Of Climate Damage In The Mountain West, 2024, Taylor Volk, Isabelle G. Graham, Ivan Sun, Zachary Billot, Caitlin J. Saladino, William E. Brown Jr.

Environment

This fact sheet examines 2024 data on the estimated annual cost per person of damage to infrastructure, agriculture, and population from climate related disasters for the five Mountain West states of Arizona, Colorado, Nevada, New Mexico, and Utah. The original report, “States at Greatest Risk of Climate Damage - 2024 Study,” by Jaclyn DeJohn and published by SmartAsset, includes data on climate disaster risk for all 50 states.


Final Residential Metals Abatement Program (Rmap) Quality Assurance Project Plan (Qapp) (Residential Parcels), Pioneer Technical Services, Inc. Jun 2024

Final Residential Metals Abatement Program (Rmap) Quality Assurance Project Plan (Qapp) (Residential Parcels), Pioneer Technical Services, Inc.

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.


Photopolymer Material Durability And Safety In Holographic Diffusers For Visual Applications, Matthew Hellis, Alan Casey, Edoardo Splendi, Suzanne Martin, Matthew Sheehan, Kevin Murphy Jun 2024

Photopolymer Material Durability And Safety In Holographic Diffusers For Visual Applications, Matthew Hellis, Alan Casey, Edoardo Splendi, Suzanne Martin, Matthew Sheehan, Kevin Murphy

Articles

This study introduces novel holographic diffuser applications employing acrylamide- or diacetone acrylamide-based photopolymers, patterned within the volume on a micron scale by a single-beam holographic recording process. These diffusers have previously been presented as potential treatments for amblyopia and diplopia. This work has now been extended to spectrometric analysis to determine their properties under broadband light. Diffusive elements with higher diffusion efficiencies exhibited a marginal reduction (< 5%) in diffusion efficiency across most of the visible spectrum. Given the intended application of these holographic diffusers, cytotoxicity assessments were also performed. This is significant as there is a difference in toxicity between the crystalline acrylamide (classified as a category 3 material) and diacetone acrylamide (classified as a category 4 material). The findings indicated substantially lower toxicity in holograms produced with diacetone acrylamide-based photopolymer. The accelerated ageing of both formulations of holographic diffusers indicated that the acrylamide-based holographic diffusers did not reduce efficacy in the 292 days of ageing. The diacetone acrylamide-based holographic diffusers exhibited reduced efficacy by day 182. Despite this, both formulations have been shown to perform for prolonged periods as the treatment modality would require. These results emphasise that holographic diffusers exhibit minimal spectral impact, and longevity on the scale of treatment regimes which are crucial considerations for their prospective use case as treatments for amblyopia and diplopia.


Investigation Of The Uv-Resistance Of Photopolymerisable Glass For Space Applications, Luca Sorridente, Tatsiana Mikulchyk, Izabela Naydenova, Kevin Murphy Jun 2024

Investigation Of The Uv-Resistance Of Photopolymerisable Glass For Space Applications, Luca Sorridente, Tatsiana Mikulchyk, Izabela Naydenova, Kevin Murphy

Articles

The progress of space based scientific research leads to an increasing demand for more efficient and less bulky instruments. Conventional refractive elements make up a critical part of many optical instruments launched into space; however, they can be bulky and heavy. Holographic optical elements are an efficient alternative to replace the conventional optical elements as they are lightweight and can be miniaturized. Current materials typically used for volume holographic optical elements are not robust enough for use in space environment. Recently a promising photopolymerisable glass has been developed using a sol-gel technique, which can provide dry layers suitable for holographic …


Thz Radar Observations Of Hydrometeors In A Spray Chamber, Zeen Zhu, Fan Yang, Edward Luke, Elise Rosky, Katia Lamer, Pavlos Kollias Jun 2024

Thz Radar Observations Of Hydrometeors In A Spray Chamber, Zeen Zhu, Fan Yang, Edward Luke, Elise Rosky, Katia Lamer, Pavlos Kollias

Michigan Tech Publications, Part 2

A THz radar, with its wide bandwidth, is capable of high-resolution imaging down to the centimeter scale. In this study, a THz radar is applied to detect hydrometeors generated in a spray chamber. The observed backscattering signals show fluctuations at centimeter scales, indicating various hydrometeor distribution patterns along the radar beam. A co-located High-Speed Imaging (HSI) sensor is used to measure the Drop Size Distributions (DSD) in the spray chamber. The radar sampling beam is well aligned with the HSI probes, allowing an objective comparison between the remote sensing and in situ observations. In this study, the observed radar power …


Re: Approval Letter For The Butte Priority Soils Operable Unit (Bpsou) Draft Final Revised Residential Metals Abatement Program (Rmap) Quality Assurance Project Plan (Qapp) (Residential Parcels) (Dated June 7, 2024), Molly Roby Jun 2024

Re: Approval Letter For The Butte Priority Soils Operable Unit (Bpsou) Draft Final Revised Residential Metals Abatement Program (Rmap) Quality Assurance Project Plan (Qapp) (Residential Parcels) (Dated June 7, 2024), Molly Roby

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.


Proceedings Of The Cuny Games Conference 10.0, Robert O. Duncan, Grace Axler-Diperte, Joe Bisz, Christina Boyle, Devorah Kletenik, Carolyn Stallard Jun 2024

Proceedings Of The Cuny Games Conference 10.0, Robert O. Duncan, Grace Axler-Diperte, Joe Bisz, Christina Boyle, Devorah Kletenik, Carolyn Stallard

Publications and Research

The ten-year anniversary (!) of the CUNY Games Conference combines workshops, idea exchanges, interactive participant presentations, playtesting, and playing tabletop games into a two-day hybrid event to promote and discuss game-based learning. The conference focuses on creative pedagogy, such as playful learning activities or games, that teachers can use in the classroom every day. Day 1 featured interactive presentations by attendees, informal idea exchange sessions, and workshops by the conference organizers. Day 2 featured select presentations and workshops, poster sessions, playtesting and game modding, and casual play of tabletop games.


Evaluation Of Inner Products Of Implicitly Defined Finite Element Functions On Multiply Connected Planar Mesh Cells, Jeffrey S. Ovall, Samuel E. Reynolds Jun 2024

Evaluation Of Inner Products Of Implicitly Defined Finite Element Functions On Multiply Connected Planar Mesh Cells, Jeffrey S. Ovall, Samuel E. Reynolds

Mathematics and Statistics Faculty Publications and Presentations

In recent years, there has been significant interest in the development of finite element methods defined on meshes that include rather general polytopes and curvilinear polygons. In the present work, we provide tools necessary to employ multiply connected mesh cells in planar domains, i.e., cells with holes, in finite element computations. Our focus is efficient evaluation of the 𝐻1𝐻1 semi-inner product and 𝐿2𝐿2 inner product of implicitly defined finite element functions of the types arising in boundary element based finite element methods and virtual element methods. Such functions are defined as solutions of Poisson problems having a polynomial source term …


Near-Surface Thermodynamic Influences On Evaporation Duct Shape, Sarah E. Wessinger, Daniel P. Greenway, Tracy Haack, Erin E. Hackett Jun 2024

Near-Surface Thermodynamic Influences On Evaporation Duct Shape, Sarah E. Wessinger, Daniel P. Greenway, Tracy Haack, Erin E. Hackett

Marine Science

This study utilizes in situ measurements and numerical weather prediction forecasts curated during the Coupled Air–Sea Processes Electromagnetic Ducting Research (CASPER) east field campaign to assess how thermodynamic properties in the marine atmospheric surface layer influence evaporation duct shape independent of duct height. More specifically, we investigate evaporation duct shape through a duct shape parameter, a parameter known to affect the propagation of X-band radar signals and is directly related to the curvature of the duct. Relationships between this duct shape parameter and air sea temperature difference (ASTD) reveal that during unstable periods (ASTD < 0), the duct shape parameter is generally larger than in near-neutral or stable atmospheric conditions, indicating tighter curvature of the M-profile. Furthermore, for any specific duct height, a strong linear relationship between the near-surface-specific humidity gradient and the duct shape parameter is found, suggesting that it is primarily driven by near-surface humidity gradients. The results demonstrate that an a priori estimate of duct shape, for a given duct height, is possible if the near-surface humidity gradient is known.

This article was published Open Access …


High-Performance Finite Elements With Mfem, Julian Andrej, Nabil Atallah, Jan-Phillip Baecker, Jean-Sylvain Camier, Dylan Copeland, Veselin Dobrev, Yohann Dudouit, Tobias Duswald, Brendan Keith, Will Pazner, Multiple Additional Authors Jun 2024

High-Performance Finite Elements With Mfem, Julian Andrej, Nabil Atallah, Jan-Phillip Baecker, Jean-Sylvain Camier, Dylan Copeland, Veselin Dobrev, Yohann Dudouit, Tobias Duswald, Brendan Keith, Will Pazner, Multiple Additional Authors

Mathematics and Statistics Faculty Publications and Presentations

The MFEM (Modular Finite Element Methods) library is a high-performance C++ library for finite element discretizations. MFEM supports numerous types of finite element methods and is the discretization engine powering many computational physics and engineering applications across a number of domains. This paper describes some of the recent research and development in MFEM, focusing on performance portability across leadership-class supercomputing facilities, including exascale supercomputers, as well as new capabilities and functionality, enabling a wider range of applications. Much of this work was undertaken as part of the Department of Energy’s Exascale Computing Project (ECP) in collaboration with the Center for …


Mapping Mental Models Through An Improved Method For Identifying Causal Structures In Qualitative Data, Erin S. Kenzie, Wayne Wakeland, Antonie Jetter, Kristen Hassmiller Lich, Mellodie Seater, Melinda M. Davis Jun 2024

Mapping Mental Models Through An Improved Method For Identifying Causal Structures In Qualitative Data, Erin S. Kenzie, Wayne Wakeland, Antonie Jetter, Kristen Hassmiller Lich, Mellodie Seater, Melinda M. Davis

Systems Science Faculty Publications and Presentations

Qualitative data are commonly used in the development of system dynamicsmodels, but methods for systematically identifying causal structures in qualita-tive data have not been widely established. This article presents a modifiedprocess for identifying causal structures (e.g., feedback loops) that are commu-nicated implicitly or explicitly and utilizes software to make coding, tracking,and model rendering more efficient. This approach draws from existingmethods, system dynamics best practice, and qualitative data analysis tech-niques. Steps of this method are presented along with a description of causalstructures for an audience new to system dynamics. The method is applied to aset of interviews describing mental models of …