This Wednesday, in the Hermann Alder Weller Auditorium of the Center for Research in Mathematical Engineering (CI²MA) at the University of Concepción (UdeC), its director, Dr. Rodolfo Araya Durán, gave a talk entitled “Nitsche's methods and applications to CFD.”

In it, the scientist reported on a study of the sliding conditions for the Stokes equation using the Nitsche method for stabilized finite element discretization, with an emphasis on the interaction between stabilization and Nitsche terms.

“The proposed method fits naturally into the context of a finite element implementation, while being accurate and allowing greater flexibility in the choice of finite element pairs,” explained Dr. Araya.

This presentation is part of the 2025 cycle of the Seminar on Numerical Analysis and Mathematical Modeling (SANMoMA), which is promoted each year by students in the Doctoral Program in Applied Sciences with a minor in Mathematical Engineering at the UdeC, with support from researchers of Numerical Analysis of Partial Differential Equations (AN de EDPs) group at the universities of Concepción (UdeC), Bío-Bío (UBB), and Católica de la Santísima Concepción (UCSC), many of whom are members of the Mathematical Modeling Center at the University of Chile.

This activity is open to the entire academic community, especially researchers and undergraduate and graduate students interested in numerical analysis, mathematical modeling, and their applications. The goal is to bring the field of numerical analysis closer to both undergraduate and graduate students through presentations by researchers and students in the field, contributing to the transfer of knowledge, mainly from those with more experience to those who are beginning their scientific careers.

This year, the organizers of SANMoMa are students Óscar Rubilar Parra and Daniel Cajas Guijarro. “This experience has been very enriching, not only in terms of organization, but also in being able to participate in these conversations steeped in high-level mathematics, especially in the numerical analysis of PDEs,” said Rubilar.

He added that “learning firsthand about the research of our professors and colleagues certainly leaves us eager to continue learning, to delve deeper into what we do, and to continue building, step by step, our own research.”

The graduate student thanked CI²MA for its support through funding and the use of its infrastructure for this activity and “Professor Raimund Bürger for motivating us to organize this series.”

“I thank the students for their initiative and Professor Araya for his support,” said Dr. Raimund Bürger, subdirector of CI²MA and director of the UdeC doctoral program. “In fact, I hope that this event will continue to be highly valued by researchers from the three universities involved, not only for the communication of the latest research results but also as a meeting point for exchange among members of the CI²MA community. It should be noted that to encourage the latter, a coffee break is being offered after each event.”

In addition to Dr. Araya, the talks that have already been held as part of this series are:

• Dr. Raimund Bürger (UdeC researcher, CMM, CI²MA): An entropy stable and well-balanced scheme for an augmented blood flow model with variable geometrical and mechanical properties.
• Filip Thiele Guerrero (UdeC doctoral student): Limiting normal cones to the union of two convex sets and M-stationarity: Local uniqueness and stability in mathematical programming.
• Dr. Mauricio Sepúlveda Cortés (UdeC researcher, CMM, CI²MA): Conservative numerical scheme for dissipative wave equation with fractional derivative damping.

The following presentations have already been confirmed:

• Benjamín Venegas Solís (UdeC Civil Engineering Mathematics student), Wednesday, October 22.
• Dr. Kerlyns Martínez Rodríguez (UdeC Department of Mathematical Engineering academic), Wednesday, November 5.
• Alonso Bustos Barría (Civil Engineering Mathematics student at UdeC), Wednesday, November 19.