Dohyun Kim  GitHub Email

Research Interests

  • Finite Element Methods
  • Optimization
  • Fluid Problems
  • High-Performance Computing

Professional Experience:

2023 Jan - Present - Postdoctoral Research Associate.
   Division of Applied Mathematics at Brown University.
2021 Dec - 2022 Oct - Postdoctoral Research Associate.
   Hong Kong Centre of Cerebro-Cardiovascular Health Engineering.
2021 Mar - 2021 Dec - Postdoctoral Research Associate.
   Computational Science and Engineering at Yonsei University.

Academic Background:

2021 Feb - Ph.D. in Computational Science and Engineering at Yonsei University.
   Thesis advisor: Prof. Eun-Jae Park.

Language
: English (Advanced), Korean (Native proficiency)

Contact: dohyun_kim@brown.edu

See Publications Download CV

MFEM Tutorial

Basic MFEM tutorial:

  • Basic concept of finite element method
  • Connection between mathematical form and MFEM implementation

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General Hyperbolic Conservation Laws in MFEM

Hyperbolic Conservation Law Integrator

  • General Hyperbolic Conservation laws with (approximated) Riemann Solvers
  • An easy-to-use and general hyperbolic conservation laws implemented in MFEM
  • Now an official MFEM example in MFEM 4.6

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Topology Optimization

Density based topology optimization:

  • Projected mirror descent (proposed) and other states of art algorithms including OC and MMA
  • Adaptive step size rule
  • High-order and Parallel implementation
  • Checkout my topology optimization branch

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Mesh (MATLAB class)

Mesh is a MATLAB class for finite element methods:

  • Easy to use
  • Works for 1D, 2D, 3D simplices
  • Automatic facet generation from given mesh for interior/boundary
  • Automatic generation of affine information of given mesh

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