Accepted Articles

• Varela, J., Schaerer, C. E., Keilegavlen, E., & Berre, I. (2026). A posteriori error estimates for mixed-dimensional Darcy flow using non-matching grids. arXiv preprint 2512.09087 (link). Accepted for publication in BIT Numerical Mathematics.

Published Articles

• 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

Book chapters

• 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

Conference proceedings

• Varela, J., Dumett, M. A. Functional Error Estimates of Mimetic Difference Approximations to the Poisson Problem (2026). Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, 12(1). link

• Cabral, J. C., Espínola, G., Varela, J & Schaerer, C. E. (2025). Adaptive Improvements to the LGMRES (m, l) Method for Efficient Resolution of Sparse Linear Systems in Computational Fluid Dynamics. Proceedings of the XLVI Ibero-Latin-American Congress on Computational Methods in Engineering, ABMEC, Vitória, Brazil, November 24-27, 2025. 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

Technical reports

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

Thesis

Doctoral Thesis

• 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

Master’s Thesis

• 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

Bachelor’s Thesis

• 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

Posters

• 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