Dongwook Shin

Department of Mathematics, Ajou University,
206, World cup-ro, Yeongtong-gu, Suwon-si, Gyeonggi-do, 16499, Republic of Korea
dws@ajou.ac.kr

I am an assistant professor at Ajou University.

Experience

Assistant professor

Department of Mathematics at Ajou University
September 2022 - present

Assistant professor

Department of Mathematics at Myongi University
March 2020 - August 2022

Senior Researcher

Center for Applications of Mathematical Principles (CAMP) at National Institute for Mathematical Sciences (NIMS)
August 2018 - February 2020

Postdoctoral Researcher

Center for Mathematical Analysis & Computation (CMAC) at Yonsei University
March 2016 - July 2018

Education

Yonsei University

Ph.D. in Computational Science and Engineering - Mathematics
September 2010 - February 2016

Yonsei University

Bachelor of Science, majoring in Mathematics
March 2004 - February 2008

Research Interests

  • Numerical Analysis and Scientific Computing
  • Numerical Methods for Partial Differential Equations
    - Finite Element Methods (FEM), Mixed FEM, B-spline based FEM
    - Discontinuous Galerkin (DG) methods, DG method with Lagrange Multipliers (DGLM), C0-DG methods
    - Hybridizable DG methods, Hybrid Spectral Difference (HSD) methods
  • Machine Learning
    - Neural Networks, Convolutional Networks, Recurrent Networks, Generative Adversarial Networks, Deep Reinforcement Learning

Lectures

Numerical Analysis* (Syllabus)

Scientific Computing (Syllabus)

Finite Element Methods* (Syllabus)

* - Course Taught in English

Packages

Mozart

FEM package based on Python and C/C++

Tutorials

Basic Finite Element Method

FEM Tutorial for Beginners (MATLAB)

Conferences

Conference Organized


Invited Presentations


Publications

Journal Articles In Print

  1. Dongwook Shin, Youngmok Jeon and Eun-Jae Park, Analysis of hybrid discontinuous Galerkin methods for linearized Navier–Stokes equations, Numerical Methods for Partial Differential Equations, Eq. 39, (2023), pp.304-328.
  2. Dongwook Shin, Youngmok Jeon and Eun-Jae Park, A novel hybrid difference method for an elliptic equation, Applied Mathematics and Computation, 415, (2022), 126702-pp.1-21.
  3. Youngmok Jeon and Dongwook Shin, Immersed hybrid difference methods for elliptic boundary value problems by artificial interface conditions, Electronic Research Archive, 29(5), (2021), pp.3361-3382.
  4. Dongwook Shin, Yoongu Hwang and Eun-Jae Park, Novel adaptive hybrid discontinuous Galerkin algorithms for elliptic problems, Computational Methods in Applied Mathematics, 21(4), (2021), pp.929-951.
  5. Muhammad Arshad, Eun-Jae Park and Dongwook Shin, Multiscale mortar mixed domain decomposition approximations of nonlinear parabolic equations, Computers and Mathematics with Applications, 97, (2021), pp.375-385.
  6. Lina Zhao, Eun-Jae Park and Dong-wook Shin, A staggered DG method of minimal dimension for the Stokes equations on general meshes, Computer Methods in Applied Mechanics and Engineering, 345, (2019), pp.854-875.
  7. Mi-Young Kim and Dong-wook Shin, A high order discontinuous Galerkin method with Lagrange multipliers for second-order elliptic problems, Applied Numerical Mathematics, 135, (2019), pp.47-68.
  8. Mi-Young Kim and Dong-wook Shin, A high order discontinuous Galerkin method with skeletal multipliers for convection-diffusion-reaction problems, Computer Methods in Applied Mechanics and Engineering, 343, (2019), pp.207-233.
  9. Dohyun Kim, Tae-Yeon Kim, Eun-Jae Park, and Dong-wook Shin, Error estimates of B-spline based finite-element methods for the stationary quasi-geostrophic equations of the ocean, Computer Methods in Applied Mechanics and Engineering, 335, (2018), pp.255-272.
  10. Muhammad Arshad, Eun-Jae Park, and Dong-wook Shin, Analysis of multiscale mortar mixed approximation of nonlinear elliptic equations, Computers and Mathematics with Applications, 75, (2018), pp.401-418.
  11. Dong-wook Shin, Younghun Kang, and Eun-Jae Park, C0-discontinuous Galerkin methods for a wind-driven ocean circulation model: Two-grid algorithm, Computer Methods in Applied Mechanics and Engineering, 328, (2018), pp.321-339.
  12. Youngmok Jeon, Eun-Jae Park, and Dong-wook Shin, Hybrid spectral difference methods for an elliptic equation, Computational Methods in Applied Mathematics, 17, (2017), pp.253-267.
  13. Tae-Yeon Kim, Eun-Jae Park, and Dong-wook Shin, A C0-discontinuous Galerkin method for the stationary quasi-geostrophic equation of the ocean, Computer Methods in Applied Mechanics and Engineering, 300, (2016), pp.225-244.
  14. Dong-wook Shin, Youngmok Jeon, and Eun-Jae Park, A hybrid discontinuous Galerkin method for advection-diffusion-reaction problems, Applied Numerical Mathematics, 95, (2015), pp.292-303.


Awards & Honors




Research Grants

Technical Strengths

Programming Languages & Tools



Certifications