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- Hsueh-Chen Lee, Tsu-Fen Chen
- Computers & Mathematics with Applications
- 2010

- Shin-Perng Chang, Tsu-Fen Chen
- J. Computational Applied Mathematics
- 2011

- T. CHEN, N. TZIRAKIS
- 2011

This article consists of two parts. In the first part, we review the most recent proofs establishing quadratic Morawetz inequalities for the nonlinear Schrödinger equation (NLS). We also describe the applications of these estimates to the problem of quantum scattering. In the second part, we generalize some of the methods developed for the NLS by many… (More)

- Hsueh-Chen Lee, Tsu-Fen Chen
- J. Computational Applied Mathematics
- 2015

This paper is concerned with adaptive least-squares methods for Stokes equations based on velocity-pressure-stress and velocity-vorticity-pressure formulations. To capture the Stokes flow region, an adaptive algorithm based on mesh redistribution is developed for a nonlinear weighted least-squares functional. A redistribution approach is considered to… (More)

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