College
Buchtel College of Arts and Sciences
Date of Last Revision
2026-05-06 06:30:21
Major
Computer Science
Honors Course
MATH 498
Number of Credits
3
Degree Name
Bachelor of Science
Date of Expected Graduation
Spring 2026
Abstract
This honors project will build a 1D Symmetric Interior Discontinuous Galerkin (SIPDG) solver in Rust for Stum-Liouville type problems such as the Poisson equation, with Robin, Dirichlet, and Neumann boundary conditions. The work will cover the full pipeline: starting from the strong form of the PDE, deriving the DG weak form, implementing element and interface operators, and assembling or apply the discrete operator. Rust's safety and concurrency (e.g, via Rayon) will be used to explore serial and parallel performance. A test-driven development approach will be used to maintain a strong suite of tests. The project will result in a documented Rust library, convergence and performance tests, and written thesis, forming a reusable research and educational tool.
Research Sponsor
Dr. Aristotelous
First Reader
Dr. O'Neil
Second Reader
Dr. Bowen Xie
Honors Faculty Advisor
Dr. Cossey
Proprietary and/or Confidential Information
No
Community Engaged Scholarship
No
Recommended Citation
Aey, William, "A 1D Symmetric Interior Penalty Discontinuous Galerkin Solver in Rust" (2026). Williams Honors College, Honors Research Projects. 2169.
https://ideaexchange.uakron.edu/honors_research_projects/2169
Included in
Data Storage Systems Commons, Numerical Analysis and Scientific Computing Commons, Partial Differential Equations Commons