Research

Publication

An energy-minimizing coarse space for overlapping Schwarz methods for 3D face elements, Commun. Korean Math. Soc., 41, #2, 665-675, (2026) link
New Analysis of Overlapping Schwarz Methods for Vector Field Problems in Three Dimensions with Generally Shaped Domains (with S. Zhang), J. Numer. Math., in press link
A Multigrid Method for Edge Elements in 3D, Jpn. J. Ind. Appl. Math., 42, #5, 2001-2020, (2025) link
Multigrid methods for 3D H(curl) problems with nonoverlapping domain decomposition smoothers, J. Korean Math. Soc. 61, #4, 659-681, (2024) link
Smoothers Based on Nonoverlapping Domain Decomposition Methods for H(curl) Problems: A Numerical Study, J. Korean Soc. Ind. Appl. Math. 26, #4, 323–332, (2022) link
A Smoother Based on Nonoverlapping Domain Decomposition Methods for H(div) Problems: A Numerical Study (with S. Brenner), Proceedings of Domain Decomposition Methods in Science and Engineering XIX, 523-531, Lect. Notes in Comput. Sci. Eng., 125, Springer (2019) link
Multigrid Methods for H(div) in Three Dimensions with a Nonoverlapping Domain Decomposition Smoother (with S. Brenner), Numerical Linear Algebra with Applications, Vol. 25, Issue 5 (2018) link
Multigrid Methods for Saddle Point Problems: the Darcy System (with S. Brenner and L.-Y. Sung), Numerische Mathematik 138, 437-471 (2018) link
BDDC Algorithms with Deluxe Scaling and Adaptive Selection of Primal Constraints for Raviart-Thomas Vector Fiends (with O. Widlund, C. Dohrmann, and S. Zampini), Mathematics of Computation 87, 659-692 (2018) link
A BDDC Preconditioner for Problems Posed in H(div) with Deluxe Scaling, Proceedings of Domain Decomposition Methods in Science and Engineering XXII, 355-361, Lect. Notes in Comput. Sci. Eng., 104, Springer (2016) link
An Alternative Coarse Space Method for Overlapping Schwarz Preconditioners for Raviart-Thomas Vector Fields, Proceedings of Domain Decomposition Methods in Science and Engineering XX, 361-367, Lect. Notes in Comput. Sci. Eng., 91, Springer (2013) link
An Overlapping Schwarz Algorithm for Raviart-Thomas Vector Fields with Discontinuous Coefficients, SIAM J. Numer. Anal. 51, #1, 297-321 (2013) link
Domain Decomposition Methods for Raviart-Thomas Vector Fields, Ph.D. Thesis link

Grants

Principal Investigator, National Research Foundation of Korea, Basic Research Program, 06/2023 - 05/2028
Co-Investigator, National Research Foundation of Korea, Global-Learning & Academic research institution for Master’s·PhD students, and Postdocs(G-LAMP), 09/2025 - 08/2030
Principal Investigator, National Research Foundation of Korea, Basic Research Program, 06/2020 - 06/2023
Principal Investigator, Chungnam National University, Research Fund, 10/2025 - 02/2026
Principal Investigator, Chungnam National University, Research Fund, 05/2023 - 02/2024
Principal Investigator, Chungnam National University, Start-up Research Fund, 05/2020 - 01/2022

Patents

A bidding system method for providing advertisements to a user terminal (with H. Ku and M. Cho), Korea Patent, 10-2155017, 2020

Invited Seminar Talks

LG Electronics, Seoul, Korea, 07/2023
Korea Advanced Institute of Science and Technology (KAIST), Department of Mathematical Sciences, Daejeon, Korea, 04/2023
Ulsan National Institute of Science and Technology (UNIST), Department of Mathematical Sciences, Ulsan, Korea, 12/2022
Ulsan National Institute of Science and Technology (UNIST), Department of Mathematical Sciences, Ulsan, Korea, 10/2022
Kyung Hee University, Department of Applied Mathematics, Yongin, Korea, 08/2022
Chungnam National University, Department of Mathematics, Daejeon, Korea, 12/2021
Korea Advanced Institute of Science and Technology (KAIST), Department of Mathematical Sciences, Daejeon, Korea, 11/2021
Pohang University of Science and Technology (POSTECH), Mathematical Institute for Data Science, Pohang, Korea, 05/2021
Pohang University of Science and Technology (POSTECH), Department of Mathematics, Pohang, Korea, 11/2018
University of North Carolina at Charlotte, Department of Mathematics and Statistics, Charlotte, NC, 01/2017
Pohang University of Science and Technology (POSTECH), Department of Mathematics, Pohang, Korea, 07/2016
Korea Advanced Institute of Science and Technology (KAIST), Department of Mathematical Sciences, Daejeon, Korea, 07/2016
Yonsei University, Department of Computational Science and Engineering, Seoul, Korea, 06/2016
Seoul National University, Department of Mathematical Sciences, Seoul, Korea, 06/2016
Ulsan National Institute of Science and Technology (UNIST), Department of Mathematical Sciences, Ulsan, Korea, 03/2016
New York University, Courant Institute of Mathematical Sciences, New York, NY, 11/2014
Yonsei University, Department of Computational Science and Engineering, Seoul, Korea, 08/2014
Lawrence Livermore National Laboratories, Center for Applied Scientific Computing, Livermore, CA, 10/2013
Korea Advanced Institute of Science and Technology (KAIST), Department of Mathematical Sciences, Daejeon, Korea, 06/2013
Kyung Hee University, Department of Applied Mathematics, Yongin, Korea, 06/2013
Ajou University, Department of Mathematics, Suwon, Korea, 06/2013
Louisiana State University, Department of Mathematics, Baton Rouge, LA, 10/2012
Korea Advanced Institute of Science and Technology (KAIST), Department of Mathematical Sciences, Daejeon, Korea, 01/2012
Sandia National Laboratories, Computer Science Research Institute, Albuquerque, NM, 08/2011
Oak Ridge National Laboratories, Computer Science and Mathematics Division, Oak Ridge, TN, 04/2011

Conference Presentations

The 2025 International Conference of the Honam Mathematical Societies, Gwangu, Korea, 06/2025
2025 KSIAM Spring Conference, Seoul, Korea, 05/2025
International Conference on the Navier-Stokes Equations and Numerical Analysis, Pohang, Korea, 01/2025
2024 KSIAM Annual Meeting, Pusan, Korea, 12/2024
2024 Ocean Forum, Daegu, Korea, 11/2024
2024 KMSE Advanced AI Workshop, Seoul, Korea, 07/2024
The 3rd North American High Order Methods Conference, Hanover, NH, 06/2024
2024 KMS Spring Meeting, Daejeon, Korea, 04/2024
28th International Conference on Domain Decomposition Methods, Thuwal, Saudi Arabia, 01/2024
2023 KSIAM Annual Meeting, Gwangju, Korea, 11/2023
2023 KMS Annual Meeting, Seoul, Korea, 10/2023
10th International Conference for Industrial and Applied Mathematics (ICIAM), Tokyo, Japan, 08/2023
International Conference on Spectral and High Order Methods 2023, Seoul, Korea, 08/2023
The 2023 International Conference of the Honam-Chungcheong Mathematical Societies, Jeonju, Korea, 06/2023
2023 KSIAM Spring Conference, Pyeongchang, Korea, 05/2023
2022 KSIAM Annual Meeting, Jeju, Korea, 11/2022
2022 CMS Conference, Virtual, 07/2022
2022 Annual Meeting of the Honam Mathematical Society, Damyang, 06/2022
KOREA-VIETNAM Science & Engineering Symposium 2021, Virtual, 09/2021
SIAM Annual Meeting 2021, Virtual, 07/2021
2021 CMS Conference, Virtual, 07/2021
The SIAM Conferences on Applied Linear Algebra, Virtual, 05/2021
2021 KMS Spring Meeting, Virtual, 04/2021
20th Copper Mountain Conference on Multigrid Methods, Virtual, 03/2021
US-Korea Conference 2020, Virtual, 12/2020
The 26th International Conference on Domain Decomposition Methods, Hong Kong (Virtual), 12/2020
2020 KSIAM Annual Meeting, Jeju, Korea, 11/2020
Domain Decomposition: Past, Present, and Future, Courant Institute of Mathematical Sciences, New York, NY, 02/2017
The 24th International Conference on Domain Decomposition Methods, Longyearbyen, Norway, 02/2017
SIAM Annual Meeting 2016, Boston, MA, 07/2016
Finite Element Circus Spring 2016, University of Maryland College Park, College Park, MD, 04/2016
Applied Math Day 2016, Rensselaer Polytechnic Institute, Troy, NY, 04/2016
Joint Mathematics Meetings 2016, Seattle, WA, 01/2016
AMS Fall Eastern Sectional Meeting 2015, Rutgers University, New Brunswick, NJ, 11/2015
US-Korea Conference 2015, Atlanta, GA, 07/2015
Finite Element Circus Spring 2015, George Mason University, Fairfax, VA, 03/2015
The 39th SIAM Southeastern Atlantic Section Conference, University of Alabama at Birmingham, Birmingham, AL, 03/2015
The 22nd International Conference on Domain Decomposition Methods, Universita della Svizzera Italiana, Lugano, Switzerland, 09/2013
US-Korea Conference 2013, East Rutherford, NJ, 08/2013
SIAM Annual Meeting 2013, San Diego, CA, 07/2013
New Frontiers in Numerical Analysis and Scientific Computing, Kent State University, Kent, OH, 04/2013
16th Copper Mountain Conference on Multigrid Methods, Copper Mountain, CO, 03/2013
Finite Element Rodeo and Circus Spring 2013, Louisiana State University, Baton Rouge, LA, 03/2013
Scientific Computing Around Louisiana 2013, Tulane University, New Orleans, LA, 02/2013
Mid-Atlantic Numerical Analysis Day 2011, Temple University, Philadelphia, PA, 11/2011
The 20th International Conference on Domain Decomposition Methods, University of Californoa at San Diego, La Jolla, CA, 02/2011