| Jhabriel Varela

Preprints

Varela, J., Schaerer, C. E., Keilegavlen, E., & Berre, I. (2025). A posteriori error estimates for mixed-dimensional Darcy flow using non-matching grids. arXiv preprint 2512.09087. link

Varela, J., Keilegavlen, E., Nordbotten, J. M. & Radu, F. A. (2024). A model for saturated–unsaturated flow with fractures acting as capillary barriers. Vadose Zone Journal, 23(4), e20345. link
Steffanson, I. Varela, J., Keilegavlen, E. & Berre, I. (2024). Flexible and rigorous numerical modelling of multiphysics processes in fractured porous media using PorePy. Results in Applied Mathematics, 21, 100428. link
Varela, J., Ahmed, E., Keilegavlen, E., Nordbotten, J. & Radu, F. (2023). A posteriori error estimates for hierarchical mixed-dimensional elliptic equations. Journal of Numerical Mathematics, 31(4), 247-280. link
Keilegavlen, E., Berge, R., Fumagalli, A., Starnoni, M., Stefansson, I., Varela, J. & Berre, I. (2021). Porepy: An open-source software for simulation of multiphysics processes in fractured porous media. Computational Geosciences, 25, 243-265. link

Varela, J., Gasda, S., Keilegavlen, E., & Nordbotten, J. (2021). A Finite-Volume-Based Module for Unsaturated Poroelasticity. In K. Lie & O. Møyner (Eds.), Advanced Modeling with the MATLAB Reservoir Simulation Toolbox (pp. 515-548). Cambridge: Cambridge University Press. link

Varela, J., Schaerer, C. E., & Keilegavlen., E. (2025). A linear potential reconstruction technique based on Raviart-Thomas basis functions for cell-centered finite volume approximations to the Darcy problem. Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, 11(1). link
Gasda, S., Aavatsmark, I., Bohloli, B., Hellevang, H., Nordbotten, J. M., Wangen, M., Bjørnarå, T., Boon, W. & Fazeli, H., Mannseth, T., Nooraiepour, M., Park, J., Skurtveit, E., Tveit, S., van Noort, R., Varela, J., Viken, I. & Thibeau, S., Protection of Caprock Integrity for Large-Scale CO2 Storage on the Norwegian Continental Shelf. 14th Greenhouse Gas Control Technologies Conference Melbourne 21-26 October 2018 (GHGT-14). link
Oporto, L. C., Ramírez, D. A., Varela, J., & Schaerer, C. E. (2016). Analysis of contaminant transport under wind conditions on the surface of a shallow lake. Mecánica Computacional, 34(31), 2155-2163. link

Varela, J. & Dummet, M. (2025). Postprocessing of Corbino-Castillo Mimetic Difference Solutions for Error Estimation. Reports of the Computational Science Research Center, SDSU. link

Varela, J. (2022). A posteriori error estimation and modeling of unsaturated flow in fractured porous media. Thesis submitted to obtain the degree of Philosophiae Doctor (PhD) by the University of Bergen. Supervisors: Keilegavlen, E. & Nordbotten, J. M. & Radu, F. A. link

Varela, J. (2018). Implementation of an MPFA/MPSA-FV solver for the unsaturated flow in deformable porous media. Thesis submitted to obtain the degree of Master of Science (MSc) by the University of Bergen. Supervisors: Nordbotten, J. M. & Keilegavlen, E. & Gasda S. link

Varela, J. (2014). Modelado y simulación del flujo unidimensional del flujo de fluidos en medios porosos. Tesis presentada para obtener el grado de ingeniero químico por la Universidad Nacional de Asunción. Tutores: Nogues, J. P. & Schaerer, C. E. link

Varela, J., Espínola, G., Cabral, J. C., Schaerer, C. E. KrySBAS: Krylov Subspace-Based Adaptive Solver. Presented in the 4th International Conference on Specialization Courses in Sanitation and Water Resources. San Lorenzo, Paraguay, 2024. link
Espinola, G., Cabral, J. C., Varela, J. & Schaerer, C. E. Mimetic operators and iterative methods for the resolution of flow equations. Presented in the 4th International Conference on Specialization Courses in Sanitation and Water Resources. San Lorenzo, Paraguay, 2024. link
Varela, J., Ahmed, E., Keilegavlen, E., Nordbotten, J. M. & Radu, F. A. A posteriori error estimates for hierarchical mixed-dimensional elliptic equations. Presented in the FORCE field trip poster session at the University Museum. Bergen, Norway, 2023. link
Varela, J., Nogues, J. P & Schaerer, C. E. (2014). Upscaling of permeability in porous media. Presented in the 3rd Conference of Computational Interdisciplinary Sciences of the Pan-American Association of Computational and Interdisciplinary Sciences. San Lorenzo, Paraguay, 2014. Winner of best poster. link