Sepúlveda Salas, Paulina

Doctora en Ciencias Matemáticas, Portland State University, Estados Unidos.

paulina.sepulveda@pucv.cl

(+56) 32 227 4024

Research Interests

J. Gopalakrishnan and P. Sepúlveda. “A space-time DPG method for the wave equation in multiple dimensions”. In collection “Space-Time Methods: Applications to Partial Differential Equations” . pp. 117-140, 2019.

K. Voronin, C. S. Lee, M. Neumüller, P. Sepulveda, and P. Vassilevski.”Space-time discretizations using constrained first-order system least-squares (CFOSLS)”,Volume 373, Pages 863-876, 2018. doi.org/10.1016/j.jcp.2018.07.024

L. Demkowicz, J. Gopalakrishnan, S. Nagaraj, and P. Sepúlveda. “A Spacetime DPG Method for the Schrödinger Equation”. SIAM J. Numer. Anal., 55(4), 1740–1759, 2017. doi/10.1137/16M1099765

J. Gopalakrishnan, P. Monk and P. Sepúlveda. “A tent pitching scheme motivated by Friedrichs theory”. Computers & Mathematics with Applications, Volume 70, Issue 5, pp. 1114-1135, 2015. doi.org/10.1016/j.camwa.2015.07.001

Discontinuous Space-Time Techniques for the Wave Equation. Conference on Computational Science and Engineering 2021 (CSE21), 1-5 Marzo.
A proof of a well-posedness for a space-time DPG formulation for the wave equation, XXXIII Jornada de Matemática, U. de la Frontera, 21 de Abril.

Programación y modelación matemática en nuestros tiempos. XLVI Semana de la Matemática , Pontificia Universidad Católica de Valparaíso, Chile. Octubre.

Two adaptive discontinuous space-time methods for the wave equation.French Latin-American Conference on New Trends in Applied Mathematics, Universidad de Chile, Chile, Diciembre.
A well-posed DPG formulation for the wave equation in multiple dimensions.Minimum Residual & Least-Squares Finite Element Methods, Humboldt University, Berlin, Germany, Septiembre. (Invitada)
Estrategias numéricas espacio-temporales para la ecuación de la onda, Seminario, Universidad Técnica Federico Santa Maria, Agosto, (Invitada).
Explicit-in-time adaptive p-refinement for the heat equation. Mathematical and Computational Modelling on the Earth, Universitat Politecnica de Catalunya, Barcelona, Spain, Mayo.
A Spacetime DPG Method for the Wave Equation in Multiple Dimensions. WONAPDE 2019. Concepción, Chile, Enero.
A Spacetime Goal-Oriented Adaptivity for an Explicit in Time Finite Element Method. WONAPDE 2019. Concepción, Chile, Enero.

A spacetime DPG method for the wave equation. 8th International Conference Computational Methods in Applied Mathematics: CMAM-8. Minsk, Belarus, Julio.
Implementation of weak symmetric stress tensor for linear elasticity, BCAM Scientific Seminar, Bilbao, España. Junio.
An adaptive spacetime DPG method for the wave equation in multiple dimensions, Fifth international
congress on multiphysics, multiscale, and optimization problems m2opV. Mayo, Bilbao, España.
Space-time CFOSLS systems: Adaptive Mesh Refinement, CASCADE RAIN 2018, Portland, Oregon, EstadosUnidos. Abril, 2018. (Invitada)
Spacetime numerical techniques for the Schrödinger and wave equations, Defensa pública de doctorado, Portland, Oregon, Estados Unidos, Enero, 2018.

Spacetime DPG formulation for the Schrödinger and Wave Equations, Minimum Residual & Least-Squares Finite Element Methods, Portland, OR, Estados Unidos. Octubre.
Divergence-free solvers for block systems with divergence constraint, Poster Symposium, Lawrence LivermoreNational Laboratory, Livermore, California, Estados Unidos. Agosto.
Elastic waves generated by a landslide, CASCADE RAIN 2017, Vancouver, Canadá. Abril.(Premio a estudiante de posgrado.)
A spacetime DPG method for Schrödinger equation, Seventh Valparaíso’s Mathematics and its Applications Days, Pontificia Universidad Católica de Valparaíso, Valparaíso, Chile, Enero 12-13, 2017. (Invitada)

A scheme with discontinuous and conforming spaces for the wave equation, WONAPDE 2016, Universidad de Concepción, Concepción, Chile, Enero. (Premio estudiante de posgrado)
A density result for the graph space of the Schrodinger operator, Applied Seminar, Portland State University, Portland, OR, Estados Unidos, October.

A density result for a graph space, Applied Seminar, Portland State University, Portland, OR, Estados Unidos. Mayo, 2015.
A tent pitching scheme motivated by Friedrichs theory, Applied Seminar, Portland State University, Portland, OR, Estados Unidos, Febrero.

Elastic wave propagation with CLAWPACK, Seminar, Pontificia Universidad Católica de Valparaíso,Valparaíso, Chile, Portland, OR, Estados Unidos, Marzo 28, 2014. (Invitada)
A Mixed Finite Element for the Linear Elasticity on Cubic Grids, Applied and Computational Mathematics, Portland State University, Portland, OR, Estados Unidos, 2014.

IMA 2006-01. Álgebra Lineal Numérica. Primer Semestre 2021.
IMA 1203-01. Programación. Segundo Semestre 2020.
IMA 1114.01. Uso de las tecnologías para la enseñanza y aprendizaje de la matemática. Primer Semestre 2020.
IMA 1203-01. Programación. Segundo Semestre 2019.