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Keegan L. A. Kirk

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Journal Articles

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2022
[j5]
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Keegan L. A. Kirk, Ayçil Çesmelioglu, Sander Rhebergen:
Convergence to weak solutions of a space-time hybridized discontinuous Galerkin method for the incompressible Navier-Stokes equations. Math. Comput. 92(339): 147-174 (2022)
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Keegan L. A. Kirk, Tamás L. Horváth, Sander Rhebergen:
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier-Stokes equations. Math. Comput. 92(340): 525-556 (2022)
2020
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  - journals/algorithms/BryentonCKSSV20
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Kyle R. Bryenton, Andrew R. Cameron, Keegan L. A. Kirk, Nasser Saad, Patrick Strongman, Nikita Volodin:
On the Solutions of Second-Order Differential Equations with Polynomial Coefficients: Theory, Algorithm, Application. Algorithms 13(11): 286 (2020)
2019
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Keegan L. A. Kirk, Sander Rhebergen:
Analysis of a Pressure-Robust Hybridized Discontinuous Galerkin Method for the Stationary Navier-Stokes Equations. J. Sci. Comput. 81(2): 881-897 (2019)
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Keegan L. A. Kirk, Tamás L. Horváth, Ayçil Çesmelioglu, Sander Rhebergen:
Analysis of a Space-Time Hybridizable Discontinuous Galerkin Method for the Advection-Diffusion Problem on Time-Dependent Domains. SIAM J. Numer. Anal. 57(4): 1677-1696 (2019)

Informal and Other Publications

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2023
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  - journals/corr/abs-2302-13896
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Keegan L. A. Kirk, Rami Masri, Beatrice Riviere:
Numerical analysis of a hybridized discontinuous Galerkin method for the Cahn-Hilliard problem. CoRR abs/2302.13896 (2023)
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  - journals/corr/abs-2311-00259
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Adrian Celaya, Keegan L. A. Kirk, David Fuentes, Beatrice Riviere:
Solutions to Elliptic and Parabolic Problems via Finite Difference Based Unsupervised Small Linear Convolutional Neural Networks. CoRR abs/2311.00259 (2023)
2021
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  - journals/corr/abs-2103-13492
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Keegan L. A. Kirk, Tamás L. Horváth, Sander Rhebergen:
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier-Stokes equations. CoRR abs/2103.13492 (2021)
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  - journals/corr/abs-2110-11920
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Keegan L. A. Kirk, Ayçil Çesmelioglu, Sander Rhebergen:
Convergence to weak solutions of a space-time hybridized discontinuous Galerkin method for the incompressible Navier-Stokes equations. CoRR abs/2110.11920 (2021)

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