I am a PhD student in the applied mathematics program under the supervision of Sander Rhebergen. I am interested in numerical methods for PDEs, in particular I work on HDG, mixed finite elements, and lately on preconditioning. Here you can see my CV.
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PUBLICATIONS
- E. Henríquez, T. Sánchez-Vizuet, and M. Solano. An unfitted HDG discretization for a model problem in shape optimization. Submitted 2025.
- E. Henríquez, J. J. Lee, and S. Rhebergen. Preconditioning of a hybridizable discontinuous Galerkin method for Biot's consolidation model. Submitted 2025.
- M. Álvarez, G. Benavides, G. Gatica, E. Henríquez, and R. Ruiz-Baier. Banach spaces-based mixed finite element methods for a steady sedimentation-consolidation system. Calcolo, (2025). Accepted for publication.
- E. Henríquez, J. J. Lee, and S. Rhebergen. Parameter-robust preconditioning for hybridizable symmetric discretizations. SIAM Journal on Scientific Computing, 47/6 (2025), pp. A3212-A3238 (2025).
- C. Correa, G. Gatica, E. Henríquez, R. Ruiz-Baier, and M. Solano. Banach spaces-based mixed finite element methods for the coupled Navier--Stokes and Poisson--Nernst--Planck equations. Calcolo, vol. 61, article: 31, (2024).
- E. Henríquez and M. Solano. An unfitted HDG method for a distributed optimal control problem. Journal of Computational and Applied Mathematics, vol. 441, paper No. 115703, (2024)
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UNDERGRAD THESIS (equivalent to a master's thesis in Canada)
- An unfitted hybridizable discontinuous galerkin method in shape optimization, Ingeniería Civil Matemática thesis, Universidad de Concepción (2022). Advisors: Manuel E. Solano and Tonatiuh Sánchez-Vizuet.
