Minah Oh

Research

Topics

Numerical Partial Differential Equations

  • Finite Element Methods and Finite Element Exterior Calculus
  • Efficient Solution Techniques for Axisymmetric Problems and their Applications
  • Optimal Control Problems
  • Fast Solvers: Multigrid

Numerical Linear Algebra

  • Low-Rank Approximation of Matrices and its Applications in Data Science

Selected Publications

  1. P1 Finite Element Methods for a Weighted Elliptic State-Constrained Optimal Control Problem
    M. Oh, L. Ma, and K. Wang
    Numerical Algorithms, Volume 87 (2021), pp. 1–17 DOI
  2. The Hodge Laplacian on Axisymmetric Domains and its Discretization
    M. Oh
    IMA Journal of Numerical Analysis, Volume 41 (2021), pp. 1569–1607 DOI
  3. Multigrid in H(div) on Axisymmetric Domains
    M. Oh
    Journal of Mathematical Analysis and Applications, Volume 490 (2020), Article 124209 DOI
  4. P1 Finite Element Methods for an Elliptic State-Constrained Distributed Optimal Control Problem with Neumann Boundary Conditions
    S. C. Brenner, M. Oh, and L.-Y. Sung
    Results in Applied Mathematics, Volume 8 (2020), Article 100090 DOI
  5. A C0 Interior Penalty Method for Elliptic Distributed Optimal Control Problems in Three Dimensions with Pointwise State Constraints
    S. C. Brenner, M. Oh, S. Pollock, K. Porwal, M. Schedensack, and N. S. Sharma
    Topics in Numerical Partial Differential Equations and Scientific Computing, The IMA Volumes in Mathematics and its Applications, Volume 160 (2016), pp. 1–22 DOI
  6. De Rham Complexes arising from Fourier Finite Element Methods in Axisymmetric Domains
    M. Oh
    Computers and Mathematics with Applications, Volume 70 (2015), pp. 2063–2073 DOI
  7. Introducing Proofs to Calculus Students
    M. Oh
    In Beyond Lecture: Resources and Pedagogical Techniques for Enhancing the Teaching of Proof-Writing Across the Curriculum (R. Schwell, A. Steurer, and J. F. Vasquez, eds.), MAA Notes 85, Mathematical Association of America (2016), pp. 283–290
  8. Integer Invariants of an Incidence Matrix related to Rota’s Basis Conjecture
    S. Bittner, J. Ducey, X. Guo, M. Oh, and A. Zweber
    Missouri Journal of Mathematical Sciences, Volume 29 (2017), pp. 27–32 DOI
  9. A New Approach to the Analysis of Axisymmetric Problems
    M. Oh
    IMA Journal of Numerical Analysis, Volume 34 (2014), pp. 1686–1700 DOI
  10. Commuting Smoothed Projectors in Weighted Norms with an Application to Axisymmetric Maxwell Equations
    J. Gopalakrishnan and M. Oh
    Journal of Scientific Computing, Volume 51 (2012), pp. 394–420 DOI
  11. Multigrid in a Weighted Space arising from Axisymmetric Electromagnetics
    D. Copeland, J. Gopalakrishnan, and M. Oh
    Mathematics of Computation, Volume 79 (2010), pp. 2033–2058 DOI
  12. Efficient Solution Techniques for Axisymmetric Problems
    M. Oh
    Ph.D. Dissertation, University of Florida (2010) Link