Latest News


Latest Publications

Some of our latest research efforts are tailored to devise new nodal integration techniques by combining meshfree Galerkin methods with the relatively new numerical technology offered by the Virtual Element Method. Nodal integration schemes formulated in this manner are stable and convergent by construction. In this approach, state variables such as strains, stresses, and other internal variables in nonlinear computations can be stored at the nodes just like the displacements.

Some nodal cells used in nodal integration.

Yañez, R.; Silvestre, R.; Roby, M.; Neira, A.; Azar, C.; Madera, S.; Ortiz-Bernardin, A.; Carpes, F. P.; la Fuente, C. De

Finite element graft stress for anteromedial portal, transtibial, and hybrid transtibial femoral drillings under anterior translation and medial rotation: an exploratory study Journal Article

In: Scientific Reports, vol. 14, pp. 11922, 2024.

Abstract | Links:

Ortiz-Bernardin, A.; Silva-Valenzuela, R.; Salinas-Fernández, S.; Hitschfeld-Kahler, N.; Luza, S.; Rebolledo, B.

A node-based uniform strain virtual element method for compressible and nearly incompressible elasticity Journal Article

In: International Journal for Numerical Methods in Engineering, vol. 124, no. 8, pp. 1818-1855, 2023.

Abstract | Links:

Salinas-Fernández, S.; Hitschfeld-Kahler, N.; Ortiz-Bernardin, A.; Si, Hang

POLYLLA: polygonal meshing algorithm based on terminal-edge regions Journal Article

In: Engineering with Computers, vol. 38, no. 5, pp. 4545-4567, 2022.

Abstract | Links:

Bustamante, R.; Montero, S.; Ortiz-Bernardin, A.

A novel nonlinear constitutive model for rock: numerical assessment and benchmarking Journal Article

In: Applications in Engineering Science, vol. 3, pp. 100012, 2020.

Abstract | Links:

Torres, J.; Hitschfeld, N.; Ruiz, R. O.; Ortiz-Bernardin, A.

Convex Polygon Packing Based Meshing Algorithm for Modeling of Rock and Porous Media Proceedings

Computational Science – ICCS 2020. ICCS 2020. Lecture Notes in Computer Science, vol 12141. Springer, Cham, 2020.

Abstract | Links: