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» Schwarz Methods for Convection-Diffusion Problems
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VECPAR
2004
Springer
14 years 21 days ago
Domain Decomposition Methods for PDE Constrained Optimization Problems
Abstract. Optimization problems constrained by nonlinear partial differential equations have been the focus of intense research in scientific computing lately. Current methods for...
Ernesto E. Prudencio, Richard H. Byrd, Xiao-Chuan ...
JSCIC
2011
76views more  JSCIC 2011»
13 years 2 months ago
Two-Level Additive Schwarz Preconditioners for a Weakly Over-Penalized Symmetric Interior Penalty Method
We propose and analyze several two-level additive Schwarz preconditioners for a weakly over-penalized symmetric interior penalty method for second order elliptic boundary value pro...
A. T. Barker, Susanne C. Brenner, E.-H. Park, Li-Y...
NA
2006
75views more  NA 2006»
13 years 7 months ago
Least-squares spectral collocation with the overlapping Schwarz method for the incompressible Navier-Stokes equations
A least-squares spectral collocation scheme is combined with the overlapping Schwarz method. The methods are succesfully applied to the incompressible Navier-Stokes equations. The...
Wilhelm Heinrichs
SIAMSC
2008
111views more  SIAMSC 2008»
13 years 7 months ago
Revisiting the Crowding Phenomenon in Schwarz-Christoffel Mapping
We address the problem of conformally mapping the unit disk to polygons with elongations. The elongations cause the derivative of the conformal map to be exponentially large in so...
L. Banjai
CPHYSICS
2010
184views more  CPHYSICS 2010»
13 years 7 months ago
Parallel Newton-Krylov-Schwarz algorithms for the three-dimensional Poisson-Boltzmann equation in numerical simulation of colloi
We investigate fully parallel Newton-Krylov-Schwarz (NKS) algorithms for solving the large sparse nonlinear systems of equations arising from the finite element discretization of ...
Feng-Nan Hwang, Shang-Rong Cai, Yun-Long Shao, Jon...