Bio

I am an applied mathematician with a passion for using mathematical models to solve real-world problems in geosciences. With a Ph.D. from the State University of Campinas (São Paulo-Brazil) and professional experience across Latin America, North America, and Europe, I specialize in the mathematical modelling of physical systems. My work has been published in journals such as the SIAM Journal on Numerical Analysis, the Journal of Scientific Computing, and Computer Methods in Applied Mechanics and Engineering.

At the core of my approach is a deep commitment to collaborative, reproducible science, using rigorous mathematics to build trustworthy simulation technology for a more sustainable energy future.

Academic Appointments

Contact

  • Academic
    oduran@stanford.edu
    Department: Energy Science & Engineering Position: Physical Science Research Scientist
    • 367 Panama Mall
    • Stanford,  California  94305 

Additional Info

Research Interests

  • Math Education

Current Research and Scholarly Interests

Research at the intersection of computational math and subsurface poromechanics develops robust, structure-preserving, scalable methods for multiphysics in porous/fractured media. Focus: advanced discretizations (HHO, multiscale mixed FE), THM modeling with Cosserat effects, and compositional multiphase flow with phase changes. Work includes solver/preconditioner design, mixed-dimensional fracture modeling, and HPC software (GEOS) for near-exascale performance.

All Publications

  • Mixed Finite Element Methods for Linear Cosserat Equations SIAM Journal on Numerical Analysis Boon, W. M., Duran, O., Nordbotten, J. M. 2025; 63: 306-333

    View details for DOI 10.1137/24M1648387

  • Unified flash calculations with isenthalpic and isochoric constraints FLUID PHASE EQUILIBRIA Lipovac, V., Duran, O., Keilegavlen, E., Radu, F. A., Berre, I. 2024; 578

    View details for DOI 10.1016/j.fluid.2023.113991

    View details for Web of Science ID 001127943700001

  • Exact sequences of conforming finite element spaces with interface constraints for macro polytopal meshes COMPUTERS & MATHEMATICS WITH APPLICATIONS Devloo, P. R. B., Duran, O., Gomes, S. M. 2023; 134: 124-139

    View details for DOI 10.1016/j.camwa.2023.01.005

    View details for Web of Science ID 000925274100001

  • Evaluation of the impact of strain-dependent permeability on reservoir productivity using iterative coupled reservoir geomechanical modeling GEOMECHANICS AND GEOPHYSICS FOR GEO-ENERGY AND GEO-RESOURCES Sanei, M., Duran, O., Devloo, P. R. B., Santos, E. S. R. 2022; 8 (2)

    View details for DOI 10.1007/s40948-022-00344-y

    View details for Web of Science ID 000765155800001

  • Unfitted hybrid high-order methods for the wave equation COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING Burman, E., Duran, O., Ern, A. 2022; 389

    View details for DOI 10.1016/j.cma.2021.114366

    View details for Web of Science ID 000740334300004

  • An Innovative Scheme to Make an Initial Guess for Iterative Optimization Methods to Calibrate Material Parameters of Strain-Hardening Elastoplastic Models ROCK MECHANICS AND ROCK ENGINEERING Sanei, M., Devloo, P. R. B., Forti, T. L. D., Duran, O., Santos, E. S. R. 2022; 55 (1): 399-421

    View details for DOI 10.1007/s00603-021-02665-y

    View details for Web of Science ID 000708791000001

  • Hybrid High-Order Methods for the Acoustic Wave Equation in the Time Domain COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION Burman, E., Duran, O., Ern, A. 2022; 4 (2): 597-633

    View details for DOI 10.1007/s42967-021-00131-8

    View details for Web of Science ID 000687787400001

  • A multiscale mixed finite element method applied to the simulation of two-phase flows COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING Duran, O., Devloo, P. R. B., Gomes, S. M., Villegas, J. 2021; 383

    View details for DOI 10.1016/j.cma.2021.113870

    View details for Web of Science ID 000663709600006

  • Verification benchmarks for single-phase flow in three-dimensional fractured porous media ADVANCES IN WATER RESOURCES Berre, I., Boon, W. M., Flemisch, B., Fumagalli, A., Glaeser, D., Keilegavlen, E., Scotti, A., Stefansson, I., Tatomir, A., Brenner, K., Burbulla, S., Devloo, P., Duran, O., Favino, M., Hennicker, J., Lee, I., Lipnikov, K., Masson, R., Mosthaf, K., Nestola, M., Ni, C., Nikitin, K., Schadle, P., Svyatskiy, D., Yanbarisov, R., Zulian, P. 2021; 147

    View details for DOI 10.1016/j.advwatres.2020.103759

    View details for Web of Science ID 000606420300004

  • An innovative procedure to improve integration algorithm for modified Cam-Clay plasticity model COMPUTERS AND GEOTECHNICS Sanei, M., Duran, O., Devloo, P. R. B., Santos, E. S. R. 2020; 124

    View details for DOI 10.1016/j.compgeo.2020.103604

    View details for Web of Science ID 000541150700012

  • An enhanced sequential fully implicit scheme for reservoir geomechanics COMPUTATIONAL GEOSCIENCES Duran, O., Sanei, M., Devloo, P. R. B., Santos, E. S. R. 2020; 24 (4): 1557-1587

    View details for DOI 10.1007/s10596-020-09965-2

    View details for Web of Science ID 000543275700002

  • Stability analysis and uncertainty modeling of vertical and inclined wellbore drilling through heterogeneous field OIL AND GAS SCIENCE AND TECHNOLOGY-REVUE D IFP ENERGIES NOUVELLES Batalha, N. A., Duran, O. Y., Devloo, P. R. B., Vieira Jr, L. C. M. 2020; 75

    View details for DOI 10.2516/ogst/2020003

    View details for Web of Science ID 000522105800001

  • H(div) finite elements based on nonaffine meshes for 3D mixed formulations of flow problems with arbitrary high order accuracy of the divergence of the flux INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING Remy Bernard Devloo, P., Duran, O., Monteiro Farias, A., Maria Gomes, S. 2020; 121 (13): 2896-2915

    View details for DOI 10.1002/nme.6337

    View details for Web of Science ID 000517779900001

  • High-order composite finite element exact sequences based on tetrahedral-hexahedral-prismatic-pyramidal partitions COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING Devloo, P. R. B., Duran, O., Gomes, S. M., Ainsworth, M. 2019; 355: 952-975

    View details for DOI 10.1016/j.cma.2019.06.022

    View details for Web of Science ID 000480605100038

  • A multiscale hybrid method for Darcy's problems using mixed finite element local solvers COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING Duran, O., Devloo, P. R. B., Gomes, S. M., Valentin, F. 2019; 354: 213-244

    View details for DOI 10.1016/j.cma.2019.05.013

    View details for Web of Science ID 000474690000009

  • An object-oriented framework for multiphysics problems combining different approximation spaces FINITE ELEMENTS IN ANALYSIS AND DESIGN Farias, A. M., Devloo, P. R. B., Gomes, S. M., Duran, O. 2018; 151: 34-49

    View details for DOI 10.1016/j.finel.2018.08.002

    View details for Web of Science ID 000445274000003

  • Mixed finite element approximations based on 3-D <i>hp</i>-adaptive curved meshes with two types of H(div)-conforming spaces INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING Devloo, P. B., Duran, O., Gomes, S. M., Shauer, N. 2018; 113 (7): 1045-1060

    View details for DOI 10.1002/nme.5698

    View details for Web of Science ID 000422696500002

  • Hierarchical high order finite element bases for H(div) spaces based on curved meshes for two-dimensional regions or manifolds JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Castro, D. A., Devloo, P. R. B., Farias, A. M., Gomes, S. M., Duran, O. 2016; 301: 241-258

    View details for DOI 10.1016/j.cam.2016.01.053

    View details for Web of Science ID 000372687400019

  • Three dimensional hierarchical mixed finite element approximations with enhanced primal variable accuracy COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING Castro, D. A., Devloo, P. R. B., Farias, A. M., Gomes, S. M., de Siqueira, D., Duran, O. 2016; 306: 479-502

    View details for DOI 10.1016/j.cma.2016.03.050

    View details for Web of Science ID 000376485100021

https://orcid.org/0000-0002-0343-9890