Finite Element Analysis

• A locally divergence-free nonvonforming finite element method for the reduced time-harmonic Maxwell equations (with F. Li and L.-Y. Sung)
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• Poincaré-Friedrichs inequalitites for piecewise H² functions (with K. Wang and J. Zhao)
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• Discrete Sobolev and Poincaré inequalities for piecewise polynomial functions
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• C⁰ interior penalty methods for fourth order elliptic boundary value problems on polygonal domains
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• Korn's inequalitites for piecewise H¹ vector fields
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• Poincaré-Friedrichs inequalitites for piecewise H¹ functions
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• Some nonstandard finite element estimates with applications to 3D Poisson and Signorini problems (with F. Ben Belgacem)
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• Discrete Sobolev and Poincaré inequalities via Fourier series (with L.-Y. Sung)
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• A nonstandard finite element interpolation estimate
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• Preconditioning complicated finite elements by simple finite elements
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• Linear finite element methods for planar linear elasticity (with L.Y. Sung)
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