Areas of Expertise

Shape optimization methods and their applications

Teaching Interests

Professor Rabago has taught a variety of mathematics courses—including College Algebra, Trigonometry, Pre-Calculus, Calculus, Differential Equations, Mathematical Biology, and Applied Analysis—to a wide range of undergraduate and graduate students.

Research

Professor Rabago’s current research interests include stationary free boundary and free surface problems, moving boundary problems, geometric inverse problems, and applications of shape optimization methods.

Most Recent Publications

J. F. T. Rabago and H. Notsu (2024), Numerical solution to a free boundary problem for the Stokes equation using the coupled complex boundary method in shape optimization setting, Appl. Math. Optim., 89, Article 2

E. Charrat, L. Afraites, and J. F. T. Rabago (2023), Shape reconstruction for advection-diffusion problems by shape optimization method: the case of constant velocity, Discrete Contin. Dyn. Syst. - S, online first article

J. F. T. Rabago (2023), Numerical solution to the exterior Bernoulli problem using the Dirichlet-Robin energy gap cost functional approach in two and three dimensions, Numer. Algorithms, 94:175–22

L. Afraites and J. F. T. Rabago (2022), Shape optimization methods for detecting an unknown boundary with the Robin condition by a single measurement}, Discrete Contin. Dyn. Syst. - S, online first article

J. F. T. Rabago (2022), On the new coupled complex boundary method in shape optimization framework for solving stationary free boundary problems, Math. Control Relat. Fields, 13(4):1362–1398

Y. Sunayama, M. Kimura, and J. F. T. Rabago (2022),, Comoving mesh method for certain classes of moving boundary problems, Japan J. Indust. Appl. Math., 39(3):973–1001

Education

September 2020
PhD, Informatics, Nagoya University, Nagoya City, Japan

January 2017
MSc, Mathematics, University of the Philippines Baguio, Baguio City, Philippines

January 2015
PMAM, Actuarial Science, University of the Philippines Diliman, Quezon City, Philippines

October 2010
BSc, Mathematics, University of the Philippines Baguio, Baguio City, Philippines

Previous Appointments

Part-time Lecturer  (April 2023 - June 2023), Faculty of Mathematics and Physics, Institute of Science and Engineering, Kanazawa University, Kanazawa, Japan
Postdoctoral Researcher  (October 2020 - present), Faculty of Mathematics and Physics, Institute of Science and Engineering, Kanazawa University, Kanazawa, Japan
Research Assistant  (August 2014 - July 2016), Department of Mathematics and Computer Science, College of Science, University of the Philippines Baguio, Baguio, Philippines
Lecturer (January 2015 - June 2015), Department of Mathematics and Computer Science, College of Science, University of the Philippines Baguio, Baguio, Philippines
Instructor (April 2011 - April 2014), Department of Mathematics and Physics, College of Arts and Sciences, Central Luzon State University, Science City of Muńoz, Philippines