Sepúlveda Salas, Paulina

Research Interests

• Numerical Analysis
• Numerical Solutions to Partial Differential Equations
• Scientific Computing

Línea de investigación

Numerical Analysis / Análisis Numérico

Publications

• J. Gopalakrishnan and P. Sepúlveda.  “A space-time DPG method for the wave equation in multiple dimensions”.  To appear in collection “Space-Time Methods: Applications to Partial Differential Equations” . pp. 129-154, 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

• P. Sepúlveda. “Spacetime Numerical Techniques for the Wave and Schrödinger equations”. Dissertations and Theses. Paper 4206, 2018.

• 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

Courses

Undergraduate courses

• IMA 1203-01. Programación. Segundo Semestre 2019.

International Conferences

2019

• A well-posed DPG formulation for the wave equation in multiple dimensions.Minimum Residual & Least-Squares Finite Element Methods, Humboldt University, Berlin, Germany.
• Explicit-in-time adaptive p-refinement for the heat equation. Mathematical and Computational Modelling on the Earth, Universitat Politecnica de Catalunya, Barcelona, Spain.
• A Spacetime DPG Method for the Wave Equation in Multiple Dimensions. WONAPDE 2019. Concepción, Chile.
• A Spacetime Goal-Oriented Adaptivity for an Explicit in Time Finite Element Method. WONAPDE 2019. Concepción, Chile.

2018

• A spacetime DPG method for the wave equation. 8th International Conference Computational Methods in Applied Mathematics: CMAM-8. Minsk, Belarus.