Publication
New Analysis of Overlapping Schwarz Methods for Vector Field Problems in Three Dimensions with Generally Shaped Domains (with S. Zhang), submitted, arXiv:2404.11986
A Multigrid Method for Edge Elements in 3D, submitted
Multigrid methods for 3D H(curl) problems with nonoverlapping domain decomposition smoothers, to appear in J. Korean Math. Soc.
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
Principal Investigator, National Research Foundation of Korea, Basic Research Program, 06/2020 - 06/2023
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
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