MultiZ: A library for computation of high order derivatives using multicomplex or multidual numbers AM Aguirre-Mesa, MJ Garcia, H Millwater ACM Transactions on Mathematical Software (TOMS) 46 (3), 2020 | 31 | 2020 |
A stiffness derivative local hypercomplex-variable finite element method for computing the energy release rate AM Aguirre-Mesa, D Ramirez-Tamayo, MJ Garcia, A Montoya, H Millwater Engineering Fracture Mechanics 218, 106581, 2019 | 19 | 2019 |
A block forward substitution method for solving the hypercomplex finite element system of equations AM Aguirre-Mesa, MJ Garcia, M Aristizabal, D Wagner, ... Computer Methods in Applied Mechanics and Engineering 387, 114195, 2021 | 15 | 2021 |
Quaternion and octonion-based finite element analysis methods for computing multiple first order derivatives M Aristizabal, D Ramirez-Tamayo, M Garcia, AM Aguirre-Mesa, ... Journal of Computational Physics 397, 108831, 2019 | 11 | 2019 |
Tearing energy calculation in hyperelastic fracture mechanics using the local and global complex-variable finite element method E Ytuarte, AM Aguirre-Mesa, D Ramirez-Tamayo, D Avila, H Millwater, ... International Journal of Solids and Structures 239, 111425, 2022 | 7 | 2022 |
Computation of two dimensional mixed-mode stress intensity factor rates using a complex-variable interaction integral AM Aguirre-Mesa, S Restrepo-Velasquez, D Ramirez-Tamayo, A Montoya, ... Engineering Fracture Mechanics 277, 108981, 2023 | 3 | 2023 |
On efficient methods for sensitivity analysis of FEM problems using hypercomplex numbers AM Aguirre Mesa Universidad EAFIT, 2019 | | 2019 |
Study of Lattice Boltzmann Boundary conditions for fluid structure interaction AM Aguirre Mesa Universidad EAFIT, 2014 | | 2014 |