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Social and Behavioral Sciences Commons

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Full-Text Articles in Social and Behavioral Sciences

Triangulation And Finite Element Method For A Variational Problem Inspired By Medical Imaging, Tim Komperda, Enrico Au-Yeung Aug 2021

Triangulation And Finite Element Method For A Variational Problem Inspired By Medical Imaging, Tim Komperda, Enrico Au-Yeung

DePaul Discoveries

We implement the finite element method to solve a variational problem that is inspired by medical imaging. In our application, the domain of the image does not need to be a rectangle and can contain a cavity in the middle. The standard approach to solve a variational problem involves formulating the problem as a partial differential equation. Instead, we solve the variational problem directly, using only techniques available to anyone familiar with vector calculus. As part of the computation, we also explore how triangulation is a useful tool in the process.


Insignificant Impacts Of Covid-19 Stay-At-Home Orders On Chicago Air Quality, Adam W.T. Steffeck Aug 2021

Insignificant Impacts Of Covid-19 Stay-At-Home Orders On Chicago Air Quality, Adam W.T. Steffeck

DePaul Discoveries

With the onset of the COVID-19 pandemic, reports of air quality improvements around the world resulting from the stay-at-home orders were widespread. However, for Chicago, no significant air quality improvements occurred despite large reductions in private vehicle transportation due to the lack of commuters. The city of Chicago is a nexus for long-haul transportation by trucks and trains, which did not decrease during the pandemic. These transportation sources use mostly diesel fuel engines and emit NOX, a precursor to tropospheric ozone, and PM2.5, both of which are harmful air pollutants. Using open access EPA air quality …


Depaul Discoveries Volume 10 Cover Art, Nicolette Listenbee Aug 2021

Depaul Discoveries Volume 10 Cover Art, Nicolette Listenbee

DePaul Discoveries

No abstract provided.


Spring 2021 May 2021

Spring 2021

Scientia

From the Dean: A Decade of Purpose and Progress; Lab Notes: Alumna Wins Gordon Bell Special Prize, New Scholarships, Vaccination Site Volunteers; Women in Science Lecture, National Institutes of Health Grants, "Unequal Cities" Research; All Hands on Deck: Inspired pandemic approaches showcase interdisciplinary acumen in action; Unlocking Potential: Christopher Beasley thinks psychology is key to academic transformation for the formerly incarcerated; Puzzle Master: Bridget Tenner goes to pieces solving problems in cutting-edge mathematics