Eric Chung's web page

Eric T. Chung is an Assistant Professor in the Department of Mathematics in The Chinese University of Hong Kong [cuhk web]. He obtained PhD degree from University of California at Los Angeles [ucla web]. His Ph.D. thesis advisor is Prof. Bjorn Engquist [his info]. His research interests are travel time tomography with application to seismic and medical imaging, energy conserving numerical methods for wave propagation, staggered discontinuous galerkin methods, numerical methods for PDE with highly oscillatory coefficients, fast solvers for discontinuous Galerkin methods.

Education:
  • PhD (2005), University of California at Los Angeles, Advisor: Bjorn Engquist
  • MPhil (2000), The Chinese University of Hong Kong
  • BSc (1998), The Chinese University of Hong Kong

Experience:
  • July 2008 - now: Assistant Professor, Department of Mathematics, The Chinese University of Hong Kong
  • July 2006 - June 2008: von Karman Instructor, Applied and Computational Mathematics, California Institute of Technology
  • July 2005 - June 2006: Visiting Assistant Professor, Mathematics Department, University of California at Irvine
  • July 2005 - August 2005: Faculty mentor, IPAM, UCLA

Brief CV:

Research Interest:
  • Staggered discontinuous galerkin methods and finite element methods
  • Finite volume methods
  • Travel time tomography and electrical impedance tomography, with applications to seismic and medical imaging
  • Numerical solution to wave propagation: acoustic, electromagnetic, elastic
  • Numerical solution to fluid flow problems
  • Numerical PDE with highly oscillatory coefficients
  • Fast solvers for DG

Submitted Paper:
  1. Wensheng Zhang, Eric T. Chung and Chaowei Wang. Stability of the high-order finite element for acoustic wave simulation with absorbing boundary conditions.
  2. Hyea Hyun Kim, Eric T. Chung and Chak Shing Lee. A staggered discontinuous Galerkin method for the Stokes system.
  3. Liuqiang Zhong, Eric T. Chung and Chunmei Liu. Some efficient techniques for the symmetric discontinuous Galerkin approximation of second order elliptic problems.
  4. Hyea Hyun Kim, Eric T. Chung and Chak Shing Lee. A BDDC algorithm for a class of staggered discontinuous Galerkin methods.
  5. Hiu Ning Chan and Eric T. Chung. A staggered discontinous Galerkin method with local TV regularization for the Burgers equation.
  6. Richard L. Gibson, Kai Gao, Eric Chung and Yalchin Efendiev. Multiscale modeling of acoustic wave propagation in two-dimensional media.
  7. Eric Chung, Chi Yeung Lam and Jianliang Qian. A Neumann Series based method for photoacoustic tomography on irregular domains.
  8. Eric Chung, Bernardo Cockburn and Guosheng Fu. The staggered DG method is the limit of a hybridizable DG method.

Publication:
  1. Eric T. Chung and Jeff C. F. Wong. A TV-based iterative regularization method for the solutions of thermal convection problems. To appear in Communication in Computational Physics.
  2. Wensheng Zhang, Li Tong and Eric T. Chung. Exact nonreflecting boundary conditions for three dimensional poroelastic wave equations. To appear in Communication in Mathematical Sciences.
  3. Eric T. Chung, Hyea Hyun Kim and Olof Widlund. Two-level overlapping Schwarz algorithms for a staggered discontinuous Galerkin method. SIAM Journal on Numerical Analysis, 51 (2013), pp. 47-67.
    [download]
  4. Eric T. Chung, Patrick Ciarlet Jr. and Tang Fei Yu. Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell's equations on Cartesian grids. Journal of Computational Physics, 235 (2013), pp. 14-31.
    [download]
  5. Eric T. Chung and Wing Tat Leung. A sub-grid structure enhanced discontinuous Galerkin method for multiscale diffusion and convection-diffusion problems. Communication in Computational Physics, 14 (2013), pp. 370-392.
    [download]
  6. Eric T. Chung and Patrick Ciarlet Jr. A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials. Journal of Computational and Applied Mathematics, 239 (2013), pp. 189-207.
    [download]
  7. Hiu Ning Chan, Eric T. Chung and Gary Cohen. Stability and dispersion analysis of staggered discontinuous Galerkin method for wave propagation. International Journal on Numerical Analysis and Modeling, 10 (2013), pp. 233-256.
    [download]
  8. Eric T. Chung and Chak Shing Lee. A staggered discontinuous Galerkin method for the convection-diffusion equation. Journal of Numerical Mathematics, 20 (2012), pp. 1-31.
    [download]
  9. Eric T. Chung and Chak Shing Lee. A staggered discontinuous Galerkin method for the curl-curl operator. IMA Journal on Numerical Analysis, 32 (2012), pp. 1241-1265.
    [download]
  10. Wensheng Zhang, Li Tong and Eric T. Chung. Efficient simulation of wave propagation with implicit finite difference schemes. Numerical Mathematics: Theory, Methods and Applications, 5 (2012), pp. 205-228.
    [download]
  11. Wensheng Zhang, Li Tong and Eric T. Chung. A new high accuracy locally one-dimensional scheme for the wave equation. Journal of Computational and Applied Mathematics, 236 (2011), pp. 1343-1353.
    [download]
  12. Eric T. Chung, Jianliang Qian, Gunther Uhlmann and Hongkai Zhao. An adaptive phase space method with application to reflection traveltime tomography. Inverse Problems, 27 (2011), 115002.
    [download]
  13. Eric T. Chung, Yalchin Efendiev and Richard L. Gibson. An energy-conserving discontinuous multiscale finite element method for the wave equation in heterogeneous media. Advances in Adaptive Data Analysis, 3 (2011), pp. 251-268.
    [download]
  14. Eric T. Chung and Yalchin Efendiev. Reduced-contrast approximations for high-contrast multiscale flow problems. SIAM Multiscale Modeling and Simulation, 8 (2010), pp. 1128-1153.
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  15. Eric T. Chung and Bjorn Engquist. Optimal discontinuous Galerkin methods for the acoustic wave equation in higher dimensions. SIAM Journal on Numerical Analysis, 47 (2009), pp. 3820-3848.
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  16. Eric Chung, Jianliang Qian, Gunther Uhlmann and Hong-kai Zhao. A new phase space method for recovering index of refraction from travel times. Inverse Problems, 23 (2007), pp. 309-329.
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  17. Eric T. Chung and Bjorn Engquist. Optimal discontinuous galerkin methods for wave propagation. SIAM Journal on Numerical Analysis, 44 (2006), pp. 2131-2158.
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  18. Eric T. Chung, Tony F. Chan and Xue Cheng Tai. Electrical impedance tomography using level set representation and total variational regularization. Journal of Computational Physics, 205 (2005), pp. 357-372
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  19. Eric T. Chung and Bjorn Engquist. Convergence analysis of fully discrete finite volume methods for Maxwell's equations in nonhomogeneous media. SIAM Journal on Numerical Analysis, 43 (2005), pp. 303-317.
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  20. Eric T. Chung, Qiang Du and Jun Zou. Convergence analysis on a finite volume method for Maxwell's equations in non-homogeneous media. SIAM Journal on Numerical Analysis, 41 (2003), pp. 37-63.
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  21. Eric T. Chung and Jun Zou. The eigenvalues and eigenspaces of some discrete div- and curl-related operators. SIAM Journal on Matrix Analysis and Application, 24 (2003), pp. 1149-1160.
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  22. T. S. Chung and J. Zou. A finite volume method for Maxwell's equations with discontinuous physical coefficients. Int. J. Appl. Math., 7 (2001), pp. 201-224.
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Refereed Conference Proceeding:
  1. Eric Chung, Yalchin Efendiev and Richard Gibson. Multiscale finite element modeling of acoustic wave equation. SEG Annual meeting, Expaned Abstract 2011.
  2. Eric T. Chung and Patrick Ciarlet, Jr. Scalar transmission problems between dielectrics and metamaterials: T-coercivity and the discontinuous Galerkin approach. The 10th international conference on mathematical and numerical aspects of waves, Simon Fraser University, 2011
  3. Eric Chung, Gunther Uhlmann, Jianliang Qian and Hongkai Zhao. A phase-space formulation for elastic-wave traveltime tomography. 2008 J. Phys.: Conf. Ser. 124 012018
    [download]
  4. Eric T. Chung and Bjorn Engquist. A new discontinuous galerkin method for Maxwell's equations. The 8th US national congress on computational mechanics, University of Texas at Austin, 2005
  5. Eric T. Chung and Bjorn Engquist. Staggered grid discontinuous galerkin methods for Maxwell's equations. The 7th international conference on mathematical and numerical aspects of waves, Brown University, 2005

Editorial Board:
  • Journal of Computational and Applied Mathematics (April 2011 - now)

Award:
  • 2006: AMS-NSF travel grant for ICM 2006
  • 2001-2005: Teaching/Research Assistantship, University of California at Los Angeles

Address:
Eric T. Chung
Department of Mathematics
Room 220, Lady Shaw Building
The Chinese University of Hong Kong
Hong Kong
email: tschung@math.cuhk.edu.hk