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Andres M. Aguirre-Mesa
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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
312020
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
192019
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
152021
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
112019
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
72022
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
32023
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
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