In Preparation

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Albella, J., Rodríguez, R. and Venegas, P..

Numerical approximation of potentials formulation for the elasticity eigenvalue problem.

Refereed Journal Articles

1.- Venegas, P., Gómez, D., Arrinda, M., Oyarbide, M., Macicior, H. and Bermúdez, A.

Kalman filter and classical Preisach hysteresis model applied to the state of charge battery estimation. Computers and Mathematics with Applications (accepted) Preprint .

2.- Bermúdez, A., Lopez-Rodríguez, B., Pena, F.J., Rodríguez, R., Salgado, P. and Venegas, P.

Numerical solution of an axisymmetric eddy current model with current and voltage excitations. Journal of Scientific Computing (accepted) Preprint

3.- Querales, J. and Venegas, P.

Mixed approximation of the axisymmetric acoustic eigenvalue problem. Computers and Mathematics with Applications vol. 108, pp. 1-11 (2022). Preprint .

4.- Querales, J., Rodríguez, R. and Venegas, P.

Numerical approximation of the displacement formulation of the axisymmetric the acoustic vibration problem. SIAM Journal on Scientific Computing , vol. 43, pp. A1583-A1606 (2021). Preprint .

5.- Bermúdez, A., Gómez, D. and Venegas, P.

Mathematical analysis and numerical solution of models with dynamic Preisach hysteresis. Journal of Computational and Applied Mathematics , vol. 367, pp. 112452-18 (2020). Preprint .

6.- Araya, R., Rodríguez, R. and Venegas, P.

Numerical analysis for a time-domain elastoacoustic problem. IMA Journal of Numerical Analysis, vol. 40, pp. 1122-1153 (2020). Preprint .

7.- Camaño, J., Rodríguez, R. and Venegas, P.

Convergence of a lowest-order finite element method for the transmission eigenvalue problem Calcolo, vol. 55, num. 3, Art. 33, 14 (2018).Preprint .

8.- Antil, H., Nochetto, R. H. and Venegas, P.

Controlling the Kelvin Force: Basic Strategies and Applications to Magnetic Drug Targeting. Optimization and Engineering, vol. 19, pp. 559-589 (2018).

9.- Alonso Rodríguez, A., Camaño, J., Rodríguez, R., Valli, A. and Venegas, P.

Finite element approximation of the spectrum of the curl operator in a multiply-connected domain. Foundations of Computational Mathematics, vol. 18, pp. 1493-1533 (2018).

10.- Antil, H., Nochetto, R. H. and Venegas, P.

Optimizing the Kelvin Force in a Moving Target Subdomain. Mathematical Models and Methods in Applied Sciences vol. 28, pp. 95-130, (2018).

11.- Bermúdez, A., Gómez, D., Piñeiro, M. , Salgado, P. and Venegas, P.

Numerical Simulation of Magnetization and Demagnetization Processes. IEEE Transactions on Magnetics, vol 53, pp.1-6, (2017).

12.- Bermúdez, A., Gómez, D., Dupré, L. and Venegas, P.

Electromagnetic computations with Preisach hysteresis model. Finite Elements in Analysis and Design vol. 116, pp. 65–74, (2017).

13.- Lara, E., Rodríguez, R. and Venegas, P.

Spectral approximation of the curl operator in multiply connected domains. Discrete and Continuous Dynamical Systems, Series S vol. 9, pp. 235-253, (2016).

14.- Bermúdez, A., Gómez, D., Rodríguez, R. and Venegas, P.

Numerical analysis of a transient non-linear axisymmetric eddy current model. Computers and Mathematics with Applications, vol. 70, pp. 1984-2005, (2015).

15.- Camaño, J., Gatica, G., Oyarzúa, R., Ruiz-Baier, R. and Venegas, P.

New fully-mixed finite element methods for the Stokes-Darcy coupling. Computer Methods in Applied Mechanics and Engineering, vol. 295, pp. 362-395, (2015).

16.- Rodríguez, R. and Venegas, P.

Numerical approximation of the spectrum of the curl operator Mathematics of Computation, vol. 83, 286, pp. 553-577, (2014).

17.- Araya, R. and Venegas, P.

An a posteriori error estimator for a unsteady singularly perturbed problem. Computers and Mathematics with Applications, vol. 66, 12, pp. 2456-2476, (2013).

18.- Bermúdez, A., Gómez, D., Rodríguez, R., Salgado, P. and Venegas, P.

Numerical solution of a transient nonlinear axisymmetric eddy current model with non-local boundary conditions, Mathematical Models and Methods in Applied Sciences, vol. 23, 13, pp. 2495-2521, (2013).

19.- Bermúdez, A., Gómez, D. and Venegas, P.

Preisach hysteresis model. Some applications in electrical engineering. Hysteresis in Engineering,ISBN 978-1-83881-972-9 (2021).

20.- Bermúdez, A., Gómez, D. and Venegas, P.

Mathematical analysis for a class of partial differential equations with dynamic Preisach model model. Progress in Industrial Mathematics at ECMI 2018, pp. 351-357 (2019).

21.- Bermúdez, A., Gómez, D., Rodríguez, R. and Venegas, P.

Mathematical analysis and numerical solution of axisymmetric eddy-current problems with Preisach hysteresis model. Proceedings of the Spring School on Rate-Independent Evolutions and Hysteresis Modelling. Rendiconti del Seminario Matematico. Università e Politecnico Torino, vol. 72, pp. 73-117, (2014) .

Alonso Rodríguez, A., Camaño, J., Rodríguez, R., Valli, A. and Venegas, P.

Correction: Finite element approximation of the spectrum of the curl operator in a multiply-connected domain. Foundations of Computational Mathematics, vol. 19, pp. 243-244, (2019).

Advisors: Bermúdez, A., Gómez, D. and Rodríguez, R.

Contribution to the mathematical and numerical analysis of some electromagnetic problems. Doctoral Programe in Applied Sciences with major in Mathematical Engineering, Universidad de Concepción, Chile (2013).

Advisor: Araya, R.

An a posteriori error estimator for a non-stationary advection-diffusion-reaction problem. Mathematical Engineering, Universidad de Concepción, Chile (2008).