Duk-Soon Oh

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Research Interests

• Numerical solution of partial differential equations
• Domain decomposition methods
• Multigrid methods
• Algorithms for parallel computing

Papers

• A Smoother Based on Nonoverlapping Domain Decomposition Methods for H(div) Problems: A Numerical Study(with S. Brenner), Submitted
• Multigrid Methods for H(div) in Three Dimensions with a Nonoverlapping Domain Decomposition Smoother(with S. Brenner), in revision
• Multigrid Methods for Saddle Point Problems: the Darcy System(with S. Brenner and L.-Y. Sung), Submitted to Numerische Mathematik, in revision
• BDDC Algorithms with Deluxe Scaling and Adaptive Selection of Primal Constraints for Raviart-Thomas Vector Fiends(with O. Widlund, C. Dohrmann, and S. Zampini), To appear in Mathematics of Computation, accepted
• 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, January, 2013, link
• Domain Decomposition Methods for Raviart-Thomas Vector Fields, Ph.D. Thesis, link

Teaching

• Spring 2017
• Numerical Analysis I, Math 373
• Fall 2016
• Calculus I for the Mathematical and Physical Sciences, Math 151
• Numerical Analysis I, Math 373
• Spring 2016
• Numerical Solution of Partial Differential Equations, Math 575
• Fall 2015
• Calculus I for the Mathematical and Physical Sciences, Math 151
• Numerical Analysis I, Math 373
• Spring 2015
• Elementary Differential Equations, Math 252
• Numerical Analysis II, Math 574
• Fall 2014
• Numerical Analysis I, Math 573