Hi there, I’m Jhabriel 👋
Assistant Professor at Polytechnic University Taiwan-Paraguay 🇵🇾🇹🇼
I am a researcher bridging the gap between applied mathematics and computational engineering. My work focuses on numerical analysis, mathematical modeling of transport processes in porous media, and open-source scientific software.
🔭 Current Research & Development
I am currently focused on three core areas:
- Adaptive Mesh Refinement (AMR): Guided by a posteriori error analysis to optimize computational resources.
- Fractured Porous Media: Modeling flow and transport in complex fracture networks.
- KrySBAS Toolbox: Developing the Krylov Subspace-Based Adaptive Solvers for MATLAB/OCTAVE.
🛠 Languages & Methods
- Languages: MATLAB, Python, C++, LaTeX
- Methods: Finite Element Method (FEM), Finite Volume Method (FVM), Finite Differences, Mimetic Finite Differences, Krylov Subspace Methods
- Tools: Git, Overleaf, IPE
📚 Selected Publications & Links