Numerical Mathematics and Scientific Computing
Weierstrass Institute for Applied Analysis and Stochastics
Carcamo, C., Vidal, C., The Chetaev Theorem for Difference Equations, Proyecciones Mathematics Journal (2012) http://dx.doi.org/10.4067/S0716-09172012000400007.
Carcamo, C., Vidal, C., Stability of equilibrium solutions in planar Hamiltonian difference systems, Canadian Journal of Mathematics(2015), https://doi.org/10.4153/CJM-2014-040-3 .
Araya, R., Cárcamo, C., Poza, A., Valentín, F. An adaptative multiscale hybrid-mixed method for the Oseen equations, Advances in Computational Mathematics (2020), https://doi.org/10.1007/s10444-020-09833-8.
Araya, R., Cárcamo, C., Poza, An adaptive stabilized finite element method for Darcy’s equations with pressure-dependent viscosities, Comput. Methods Appl. Mech. Engrg., (2021) https://doi.org/10.1016/j.cma.2021.114100.
Garay, J., Mella, H., Sotelo, J., Carcamo, C., Uribe, S., Bertoglio, C., Mura, J. Assessment of 4D flow MRI's quality by verifying its Navier–Stokes compatibility.Int J Numer Meth Biomed Engng. e3603 (2022) https://doi.org/10.1002/cnm.3603.
Araya, R., Cárcamo, C., Poza, A., A stabilized finite element method for the Stokes-Transport coupled problem. Appl. Numer. Math (2023), https://doi.org/10.1016/j.apnum.2023.02.002.
Araya, R,. Bertóglio, C., Cárcamo, C., Nolte, D., Uribe, S., Convergence Analysis of Pressure Reconstruction Methods from Discrete Velocities, ESAIM: M2AN (2023) https://doi.org/10.1051/m2an/2023021.
Araya, R., Cárcamo, C., Poza, A., Vino, E., A stabilized finite element method for the Stokes-Darcy coupled problem. Journal of Computational and Applied Mathematics (2024), https://doi.org/10.1016/j.cam.2024.115753.
Cárcamo, C., Caiazzo, A., Galarce, F., Mura, J., A stabilized total pressure-formulation of the Biot's poroelasticity equations in frequency domain: numerical analysis and applications, Computer Methods in Applied Mechanics and Engineering (2024) https://doi.org/10.1016/j.cma.2024.117353
Araya, R., Cárcamo, C., Poza, A.,, A Stabilized Finite Element Method for the Navier-Stokes/Darcy coupled problem, (2024) 10.20347/WIAS.PREPRINT.3183
Li, H., Cárcamo, C,, Rui, H., John, V., Coupling of conforming and mixed finite element methods for a model of wave propagation in thermo-poroelasticity in the frequency domain, (2024) https://doi.org/10.48550/arXiv.2511.17984
Barrenechea, G.R., Cárcamo, C., Poza, A.H., A stabilized finite element method for a flow problem arising from 4D flow magnetic resonance, (2025).
Cárcamo, C., Chouly, F., Poza, A.H.,A skew-symmetric Nitsche-augmented mixed finite element method for the Brinkman problem with mixed boundary conditions and non-null sources terms, (2025).
In Process
Iterated Penalty Method for a nonlinear Brinkman problem with non-null Dirichlet boundary conditions.
A T-coercive approach for a nonlinear Stokes problem.
Seventh Chilean Workshop on Numerical Analysis of Partial Differential Equations - WONAPDE 2024, Total Pressure-Based Frequency-Domain Formulation and Convergence Analysis of Biot's Poroelasticity Equations with a New Finite Elelement Stabilization, Concepción, Chile.
Congreso de Matemática Capricorinio COMCA 2018, Multiscale Hybrid Mixed Method for the Oseen Equation - The Method, Antofagasta, Chile.
Sixth Chilean Workshop on Numerical Analysis of Partial Differential Equations - WONAPDE 2019, Multiscale Hybrid Mixed Method for the Oseen Equation, Concepción, Chile.
XXIII Jornada de Matemática de la Zona Sur, On a Multiscale A Posteriori Error Estimator For The Oseen Equation, Punta Arenas, Chile.
VI Eccomas Investigators Conference 2021, An adaptive stabilized finite element method for Darcy’s equations with pressure dependent viscosities, Valencia, Spain
Seventh Chilean Workshop on Numerical Analysis of Partial Differential Equations - WONAPDE 2024, Total Pressure-Based Frequency-Domain Formulation and Convergence Analysis of Biot's Poroelasticity Equations with a new Finite Element stabilization, Concepción, Chile.
Chemnitz Finite Element Symposium 2024, Frequency-Domain Formulation and Convergence Analysis of Biot's Poroelasticity Equations Based on Total Pressure, Chemnitz, Germany.
Computational Techniques and Applications Conference CTAC 2024, Monash University, Merlbourne, Australia.