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MMAS
2010
Springer
14 years 11 months ago
A Nonlinear PDE-Based Method for Sparse Deconvolution
In this paper, we introduce a new nonlinear evolution partial differential equation for sparse deconvolution problems. The proposed PDE has the form of continuity equation that ar...
Yu Mao, Bin Dong, Stanley Osher
SIAMCO
2008
73views more  SIAMCO 2008»
15 years 4 months ago
A Post-Treatment of the Homogenization Method for Shape Optimization
We propose an alternative to the classical post-treatment of the homogenization method for shape optimization. Rather than penalize the material density once the optimal composite ...
O. Pantz, K. Trabelsi
IJCM
2010
108views more  IJCM 2010»
15 years 2 months ago
Lifting solutions of quasilinear convection-dominated problems
The steady state of the quasilinear convection-diffusion-reaction equation ut − (D(u) u) + b(u) u + c(u) = 0 (1) is studied. Depending on the ratio between convection and diff...
J. A. Ferreira, A. P. Mouro, P. Oliveira
AMC
2005
123views more  AMC 2005»
15 years 4 months ago
Iterative methods for Robbins problems
Preconditioned iterative methods are described for the solution of an elliptic partial differential equation over an unit square region with Robbins boundary conditions. Transform...
Andy C. Ho, Michael K. Ng
MOC
2002
107views more  MOC 2002»
15 years 4 months ago
Combined Hermite spectral-finite difference method for the Fokker-Planck equation
The convergence of a class of combined spectral-finite difference methods using Hermite basis, applied to the Fokker-Planck equation, is studied. It is shown that the Hermite based...
Johnson C. M. Fok, Benyu Guo, Tao Tang