collaborators

5 papers

cs.SE2026

PoliVEM: a Python-driven virtual element framework for computational solid mechanics

Paulo Akira F. Enabe, Rodrigo Provasi

This work presents PoliVEM, a software framework for the Virtual Element Method (VEM) in computational solid and structural mechanics. A C++17 computational core and a Python inter…

math.NA2026

An Investigation of Stabilization Scaling in Finite-Strain Virtual Element Methods for Hyperelasticity

Paulo Akira F. Enabe, Rodrigo Provasi

Low-order virtual element methods (VEM) compute a consistent finite-strain contribution through polynomial projections and rely on stabilization to control the unresolved modes in…

math.NA2025

Mass-Lumped Virtual Element Method with Strong Stability-Preserving Runge-Kutta Time Stepping for Two-Dimensional Parabolic Problems

Paulo Akira F. Enabe, Rodrigo Provasi

This paper presents a mass-lumped Virtual Element Method (VEM) with explicit Strong Stability-Preserving Runge--Kutta (SSP-RK) time integration for two-dimensional parabolic proble…

math.NA2025

Virtual Element Method Applied to Two Dimensional Axisymmetric Elastic Problems

Paulo Akira F. Enabe, Rodrigo Provasi

This work presents a Virtual Element Method (VEM) formulation tailored for two-dimensional axisymmetric problems in linear elasticity. By exploiting the rotational symmetry of the…

cs.LG2025

A Hybrid Virtual Element Method and Deep Learning Approach for Solving One-Dimensional Euler-Bernoulli Beams

Paulo Akira F. Enabe, Rodrigo Provasi

A hybrid framework integrating the Virtual Element Method (VEM) with deep learning is presented as an initial step toward developing efficient and flexible numerical models for one…