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SIAMNUM
2010
133views more  SIAMNUM 2010»
13 years 3 months ago
Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems in Two-Layered Media
In this paper, we propose a uniaxial perfectly matched layer (PML) method for solving the time-harmonic scattering problems in two-layered media. The exterior region of the scatter...
Zhiming Chen, Weiying Zheng
MOC
2000
131views more  MOC 2000»
13 years 8 months ago
Convergence of gauge method for incompressible flow
A new formulation, a gauge formulation of the incompressible Navier-Stokes equations in terms of an auxiliary field a and a gauge variable , u = a + , was proposed recently by E an...
Cheng Wang, Jian-Guo Liu
CORR
2008
Springer
107views Education» more  CORR 2008»
13 years 8 months ago
Randomized Methods for Linear Constraints: Convergence Rates and Conditioning
We study randomized variants of two classical algorithms: coordinate descent for systems of linear equations and iterated projections for systems of linear inequalities. Expanding...
D. Leventhal, A. S. Lewis
MOC
1998
175views more  MOC 1998»
13 years 8 months ago
Convergence of a non-stiff boundary integral method for interfacial flows with surface tension
Boundary integral methods to simulate interfacial flows are very sensitive to numerical instabilities. In addition, surface tension introduces nonlinear terms with high order spat...
Héctor D. Ceniceros, Thomas Y. Hou
SIAMNUM
2010
150views more  SIAMNUM 2010»
13 years 3 months ago
Quasi-Optimal Convergence Rate of an Adaptive Discontinuous Galerkin Method
We analyze an adaptive discontinuous finite element method (ADFEM) for symmetric second order linear elliptic operators. The method is formulated on nonconforming meshes made of si...
Andrea Bonito, Ricardo H. Nochetto