Publications

Publications

Published Papers

11. M. Akbas, A.E. Diegel and L.G. Rebholz, Continuous data assimilation of a discretized barotropic vorticity model of geophysical flow, Computers and Mathematics with Applications, 160, 30-45, 2024.

10. A.E. Diegel and N.S. Sharma Unconditional Energy Stability and Solvability for a C0 Interior Penalty Method for a Sixth-Order Equation Modeling Microemulsions. Int. J. Numer. Anal. Mod. (2023) 20(4):459-477.

9. A.L. Dapper, A.E. Diegel, and M.J. Wade. Relative Rates of Evolution of Male-Beneficial Nuclear Compensatory Mutations and Mother’s Curse Mitochondrial Allele. Evolution. (2023) qpad087. (Special Collaboration with Assistant Profesor in Biology, Dr. Dapper)

8. A.E. Diegel and L.G. Rebholz. A Data Assimilation Scheme for the Cahn-Hilliard Equation. Appl. Math. Comput. (2022) 424:127042.

7. A.E. Diegel and N.S. Sharma. A C0 Interior Penalty Method for the Phase Field Crystal Equation. Numer. Meth. Part. D. E. (2022) 39. 2510-2537.

6. S.C. Brenner, A.E. Diegel, and L-Y Sung. A Robust Solver for a Second Order Mixed Finite Element Method for the Cahn-Hilliard Equation. J. Comput. Appl. Math. (2020) 364:112322.

5. A.E. Diegel, S.W. Walker. A Finite Element Method for a Phase Field Model of Nematic Liquid Crystal Droplets. Commun. Comput. Phys. (2019) 25(1):155-188.

4. S.C. Brenner, A.E. Diegel, and L-Y Sung. A Robust Solver for a Mixed Finite Element Method for the Cahn-Hilliard Equation. J. Sci. Comput. (2018) 77:1234-1249.

3. A.E. Diegel, C. Wang, X. Wang, and S.M. Wise. Convergence Analysis and Error Estimates for a Second Order Accurate Finite Element Method for the Cahn-Hilliard-Navier-Stokes System. Numer. Math. (2017) 137: 495.

2. A.E. Diegel, C. Wang, and S.M. Wise. Stability and Convergence of a Second Order Mixed Finite Element Method for the Cahn-Hilliard Equation. IMA J. Numer. Anal. (2016) 36:1867–1897.

1. A.E. Diegel, X. Feng, and S.M. Wise. Analysis of a Mixed Finite Element Method for a Cahn-Hilliard-Darcy-Stokes System. SIAM J. Numer. Anal. (2015) 53:127-152.

Submitted Papers

A.E. Diegel, N.S. Sharma, and D. Bond. A C0 Interior Penalty Method for the Modified Phase Field Crystal Equation. 

A.E. Diegel, C. Wang, and S.M. Wise. Iteration convergence analysis of a preconditioned steepest descent solver for the Cahn-Hilliard equation with logarithmic Flory-Huggins energy potential. 

A.E. Diegel, X. Li, and L.G. Rebholz. Analysis of continuous data assimilation with large (or even infinite) nudging parameters.