Analysis of a Pressure-Robust Hybridized Discontinuous Galerkin Method for the Stationary Navier-Stokes Equations. - Keegan L. A. Kirk; Sander Rhebergen (J. Sci. Comput., 2019)

Analysis of a Space-Time Hybridizable Discontinuous Galerkin Method for the Advection-Diffusion Problem on Time-Dependent Domains. - Keegan L. A. Kirk; Tamás L. Horváth; Ayçil Çesmelioglu; Sander Rhebergen (SIAM J. Numer. Anal., 2019)

On the Solutions of Second-Order Differential Equations with Polynomial Coefficients: Theory, Algorithm, Application. - Kyle R. Bryenton; Andrew R. Cameron; Keegan L. A. Kirk; Nasser Saad; Patrick Strongman; Nikita Volodin (Algorithms, 2020)

Convergence to weak solutions of a space-time hybridized discontinuous Galerkin method for the incompressible Navier-Stokes equations. - Keegan L. A. Kirk; Ayçil Çesmelioglu; Sander Rhebergen (Math. Comput., 2022)

Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier-Stokes equations. - Keegan L. A. Kirk; Tamás L. Horváth; Sander Rhebergen (Math. Comput., 2022)

Numerical analysis of a hybridized discontinuous Galerkin method for the Cahn-Hilliard problem. - Keegan L. A. Kirk; Rami Masri; Beatrice Riviere (CoRR, 2023)

Solutions to elliptic and parabolic problems via finite difference based unsupervised small linear convolutional neural networks. - Adrian Celaya; Keegan L. A. Kirk; David Fuentes 001; Beatrice Riviere (Comput. Math. Appl., 2024)

A Discontinuous Galerkin Method for the Extracellular Membrane Intracellular Model. - Rami Masri; Keegan L. A. Kirk; Eirill Hauge; Miroslav Kuchta (CoRR, 2024)

A Combined Mixed Hybrid and Hybridizable Discontinuous Galerkin Method for Darcy Flow and Transport. - Keegan L. A. Kirk; Beatrice Riviere (J. Sci. Comput., 2024)

Duality-Based Algorithm and Numerical Analysis for Optimal Insulation Problems on Non-Smooth Domains. - Harbir Antil; Alex Kaltenbach; Keegan L. A. Kirk (CoRR, 2025)

A Hybridizable Discontinuous Galerkin Method for the Miscible Displacement Problem Under Minimal Regularity. - Keegan L. A. Kirk; Beatrice Riviere (CoRR, 2025)