Publications (including the submitted ones)
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S. C. Brenner, F. Li and L.-Y. Sung,
Nonconforming Maxwell eigensolvers, Journal of Scientific
Computing, submitted.
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S. C. Brenner, F. Li and L.-Y. Sung,
A nonconforming penalty method for a two-dimensional curl-curl problem,
Mathematical Models and Methods in Applied Mathematics, to appear.
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F. Li, C.-W. Shu, Y.-T. Zhang and H.-K. Zhao,
A second order DGM based fast sweeping method for Eikonal equations,
[PDF]
Journal of Computational Physics,
v227 (2008), pp.8191-8208.
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S. C. Brenner, J. Cui, F. Li and L.-Y. Sung,
A nonconforming finite element method for a two-dimensional curl-curl and grad-div problem,
[PDF]
Numerische Mathematik,
v109 (2008), pp.509-533.
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S. C. Brenner, F. Li and L.-Y. Sung,
A locally divergence-free interior penalty method for two-dimensional curl-curl problems,
[PDF]
SIAM Journal on Numerical Analysis, v46 (2008), pp.1190-1211.
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S. C. Brenner, F. Li and L.-Y. Sung,
A locally divergence-free nonconforming finite element method for
the reduced time-harmonic Maxwell equations,
[PDF]
Mathematics of Computation, v76 (2007), pp.573-595.
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S. C. Brenner, F. Li and L.-Y. Sung,
A locally divergence-free nonconforming finite element method for
the reduced time-harmonic Maxwell equations,
[PDF]
Proceedings of the joint Workshop by AWM and MSRI: The Legacy of Ladyzhenskaya
and Oleinik, 2006.
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F. Li and C.-W. Shu,
A local-structure-preserving local discontinuous Galerkin method for the Laplace equation,
[PDF]
Methods and Applications of Analysis, v13 (2006), pp.215-233.
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F. Li and C.-W. Shu,
Reinterpretation and simplified implementation of a discontinuous Galerkin method for Hamilton-Jacobi equations,
[Abstract]
[PDF]
Applied Mathematics Letters, v18 (2005), pp.1204-1209.
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F. Li and C.-W. Shu,
Locally divergence-free discontinuous Galerkin methods for MHD equations,
[Abstract]
[PDF]
Journal of Scientific Computing, v22-23 (2005),
pp.413-442.
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B. Cockburn, F. Li and C.-W. Shu,
Locally divergence-free
discontinuous Galerkin methods for the Maxwell equations,
[Abstract]
[PDF]
Journal of Computational Physics, v194 (2004), pp.588-610.
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B. Cockburn, F. Li and C.-W. Shu, Discontinuous Galerkin methods for equations with divergence-free solutions: preliminary results,
the proceedings of the Second MIT Conference on Computational Fluid and Solid Mechanics, K.J. Bathe, Editor, June 2003, Elsevier Science.
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L.-A. Ying and F. Li, Exterior Problem of the Darwin Model and its Numerical Computation,
[Abstract]
[PDF]
Mathematical Modelling and Numerical Analysis, v37 (2003), pp.515-532.