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» On the convergence of Hill's method
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MOC
1998
82views more  MOC 1998»
15 years 5 months ago
Vortex method for two dimensional Euler equations in bounded domains with boundary correction
The vortex method for the initial-boundary value problems of the Euler equations for incompressible flow is studied. A boundary correction technique is introduced to generate seco...
Lung-an Ying
SIAMNUM
2010
141views more  SIAMNUM 2010»
15 years 27 days ago
A Multipoint Flux Mixed Finite Element Method on Hexahedra
We develop a mixed finite element method for elliptic problems on hexahedral grids that reduces to cell-centered finite differences. The paper is an extension of our earlier paper...
Ross Ingram, Mary F. Wheeler, Ivan Yotov
MP
2006
134views more  MP 2006»
15 years 6 months ago
Cubic regularization of Newton method and its global performance
In this paper, we provide theoretical analysis for a cubic regularization of Newton method as applied to unconstrained minimization problem. For this scheme, we prove general local...
Yurii Nesterov, Boris T. Polyak
JMIV
2007
484views more  JMIV 2007»
15 years 6 months ago
On Semismooth Newton's Methods for Total Variation Minimization
In [2], Chambolle proposed an algorithm for minimizing the total variation of an image. In this short note, based on the theory on semismooth operators, we study semismooth Newton...
Michael K. Ng, Liqun Qi, Yu-Fei Yang, Yu-Mei Huang
MOC
2000
75views more  MOC 2000»
15 years 6 months ago
Multihomogeneous Newton methods
Abstract. We study multihomogeneous analytic functions and a multihomogeneous Newton's method for finding their zeros. We give a convergence result for this iteration and we s...
Jean-Pierre Dedieu, Mike Shub